Astrological Structures
- Jim Eshelman
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- Joined: Sun May 07, 2017 12:40 pm
Astrological Structures
Astrology, like language, has both vocabulary and syntax, or meaningful content and structural framing. Astrology's vocabulary includes its elements of meaning, all of the interpretive factors with which we are most familiar. Astrology's syntax consists of structural elements that provide the framing within which these meanings have voice.
In many ways, the structural framing is more important than the interpretations. This is certainly true for the astrological researcher. It is also true for the field practitioner.
The Planets https://www.solunars.com/viewtopic.php? ... 772#p11303
The Constellations (Celestial Framework) https://www.solunars.com/viewtopic.php? ... 772#p11304
Angles (Mundane Framework) https://www.solunars.com/viewtopic.php? ... 772#p11305
Angularity Variability https://www.solunars.com/viewtopic.php? ... 772#p11306
Aspects: Reference Circles https://www.solunars.com/viewtopic.php? ... 772#p11307
Aspects: Specific Harmonics https://www.solunars.com/viewtopic.php? ... 772#p11308
Aspects: Orbs https://www.solunars.com/viewtopic.php? ... 772#p11309
Astrological Structures in a Natal Horoscope https://www.solunars.com/viewtopic.php? ... 772#p11310
Astrological Structures in Transits & Progressions https://www.solunars.com/viewtopic.php? ... 772#p11311
Astrological Structures in Solunar Returns https://www.solunars.com/viewtopic.php? ... 772#p11312
Astrological Structures in Mundane Astrology https://www.solunars.com/viewtopic.php? ... 772#p11313
Astrological Structures for Beginners https://www.solunars.com/viewtopic.php? ... 772#p11313
Astrology's structures are invariable (though our understanding of them, of course, is not). In contrast, astrology's interpretations are variable across time.
Astrology's interpretations are variable across time and condition because human beings (individually and collectively) are variable across time and condition. The same root principle expresses itself differently in different conditions, e.g., different cultures, cultural conditions, ages, genders, or economic conditions. Consider how something as basic as aggression manifests differently (and is responded to differently) in men vs. women, children vs. adults vs. the elderly, in different races within one culture or another, and at different points in time. Or, as another example, the social framework in the United States has shifted so dramatically since the 1970s that astrological interpretations from that era are antiquated on nearly any matter touching gender, sex, occupation, health, and family structures, just to name a few areas.
The more concrete an interpretive statement about an individual, the more it is beholden to the context and conditions of that individual. Venus-Uranus combinations have always meant emotional renewal and freedom in love, Sun-Mars has always linked ego to power and dominance, and Mercury-Saturn has always meant ordered thought and mental labor; yet these human characteristics and needs have themselves meant something different and emerged as different outward behavior across the decades and in different societal and personal contexts.
Therefore, astrology's interpretations vary across time even when they "keep meaning the same thing they always did."
Another type of variability over the centuries lies in the prevailing paradigms (cognitive frameworks) of an era. For example, astrological root concepts and interpretations for most of the last century have been framed especially in the language of psychology. This wasn't always so, of course, because a century and a half ago there was not yet any field of psychology resembling today's. We might regard this simply as progress; for example, I personally would like to think that this is where astrology was always necessarily heading. In truth, though, we can't yet objectively say that it is progress, only that it is change.
And yet, we cannot even begin the process of observing astrological verities without understanding the structures within which their meanings exist. Therefore, the most important astrological research of the last 75 years has been not so much the determination of interpretive meanings (important as they are), but, rather, the nature of astrological structures.
For example, it is more important to know that the ecliptic is divided into 12 equal segments, with exact boundaries at specific places, than to know that the 30° stretch called Leo has such-and-so a nature. Both are important; but the meaning side eventually can be uncovered if we know the structure, while the structure is difficult or impossible to discern from our efforts to observe and catalogue meanings.
In each section below, I will articulate what I believe we currently know about astrology's structures. I will, in this place, neither present the evidence to substantiate these statements nor debate their truth. I will simply state them as certainties. Certainties are subject to reassessment with the arrival of new information. But at any given point in time, we need a platform of certainty - a working model - within which to ply our art.
I have never before spelled all this out in one place, and now feel that it is time to do so. I've previously intended that this would arise in the writing of eventually planned books, but I think this should not wait.
All of this surely will evolve over time.
In many ways, the structural framing is more important than the interpretations. This is certainly true for the astrological researcher. It is also true for the field practitioner.
The Planets https://www.solunars.com/viewtopic.php? ... 772#p11303
The Constellations (Celestial Framework) https://www.solunars.com/viewtopic.php? ... 772#p11304
Angles (Mundane Framework) https://www.solunars.com/viewtopic.php? ... 772#p11305
Angularity Variability https://www.solunars.com/viewtopic.php? ... 772#p11306
Aspects: Reference Circles https://www.solunars.com/viewtopic.php? ... 772#p11307
Aspects: Specific Harmonics https://www.solunars.com/viewtopic.php? ... 772#p11308
Aspects: Orbs https://www.solunars.com/viewtopic.php? ... 772#p11309
Astrological Structures in a Natal Horoscope https://www.solunars.com/viewtopic.php? ... 772#p11310
Astrological Structures in Transits & Progressions https://www.solunars.com/viewtopic.php? ... 772#p11311
Astrological Structures in Solunar Returns https://www.solunars.com/viewtopic.php? ... 772#p11312
Astrological Structures in Mundane Astrology https://www.solunars.com/viewtopic.php? ... 772#p11313
Astrological Structures for Beginners https://www.solunars.com/viewtopic.php? ... 772#p11313
Astrology's structures are invariable (though our understanding of them, of course, is not). In contrast, astrology's interpretations are variable across time.
Astrology's interpretations are variable across time and condition because human beings (individually and collectively) are variable across time and condition. The same root principle expresses itself differently in different conditions, e.g., different cultures, cultural conditions, ages, genders, or economic conditions. Consider how something as basic as aggression manifests differently (and is responded to differently) in men vs. women, children vs. adults vs. the elderly, in different races within one culture or another, and at different points in time. Or, as another example, the social framework in the United States has shifted so dramatically since the 1970s that astrological interpretations from that era are antiquated on nearly any matter touching gender, sex, occupation, health, and family structures, just to name a few areas.
The more concrete an interpretive statement about an individual, the more it is beholden to the context and conditions of that individual. Venus-Uranus combinations have always meant emotional renewal and freedom in love, Sun-Mars has always linked ego to power and dominance, and Mercury-Saturn has always meant ordered thought and mental labor; yet these human characteristics and needs have themselves meant something different and emerged as different outward behavior across the decades and in different societal and personal contexts.
Therefore, astrology's interpretations vary across time even when they "keep meaning the same thing they always did."
Another type of variability over the centuries lies in the prevailing paradigms (cognitive frameworks) of an era. For example, astrological root concepts and interpretations for most of the last century have been framed especially in the language of psychology. This wasn't always so, of course, because a century and a half ago there was not yet any field of psychology resembling today's. We might regard this simply as progress; for example, I personally would like to think that this is where astrology was always necessarily heading. In truth, though, we can't yet objectively say that it is progress, only that it is change.
And yet, we cannot even begin the process of observing astrological verities without understanding the structures within which their meanings exist. Therefore, the most important astrological research of the last 75 years has been not so much the determination of interpretive meanings (important as they are), but, rather, the nature of astrological structures.
For example, it is more important to know that the ecliptic is divided into 12 equal segments, with exact boundaries at specific places, than to know that the 30° stretch called Leo has such-and-so a nature. Both are important; but the meaning side eventually can be uncovered if we know the structure, while the structure is difficult or impossible to discern from our efforts to observe and catalogue meanings.
In each section below, I will articulate what I believe we currently know about astrology's structures. I will, in this place, neither present the evidence to substantiate these statements nor debate their truth. I will simply state them as certainties. Certainties are subject to reassessment with the arrival of new information. But at any given point in time, we need a platform of certainty - a working model - within which to ply our art.
I have never before spelled all this out in one place, and now feel that it is time to do so. I've previously intended that this would arise in the writing of eventually planned books, but I think this should not wait.
All of this surely will evolve over time.
Jim Eshelman
www.jeshelman.com
www.jeshelman.com
- Jim Eshelman
- Are You Sirius?
- Posts: 19062
- Joined: Sun May 07, 2017 12:40 pm
Astrological Structures: The Planets
Summary
Astrology represents the primary motive forces of our lives and psyches with THE PLANETS, comprising Moon, Sun, and the eight planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus, Neptune, and Pluto. This structure may also include other valid planet-like factors (e.g., astronomical bodies within or outside our solar system or astrophysical structures). We know for sure that it includes the above; we are less firmly persuaded that it includes other factors.
Elaboration
Astrology represents the primary motive forces of our lives and psyches with THE PLANETS. These fundamental energies may be understood through many paradigms of varying usefulness (e.g., they were anciently considered to be gods commanding human behavior and destiny): In psychological language, the planets are most usefully understood to be expressions of fundamental needs and other primitive energies.
Astrological planets include Moon, Sun, and the eight planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus, Neptune, and Pluto. They may also include other valid planet-like factors such as other astronomical bodies within our solar system, stars and other astronomical bodies or structures outside our solar system, or astronomical (mathematical) intersections such as lunar or planetary nodes or equinoctial points. We have greater confidence in some of these than others. Some may be useful only for certain purposes; or, perhaps none of these other objects or points is astrologically valid.
In short, we know for sure that astrological planets include the above ten itemized factors. We are less firmly persuaded that they include other factors.
Among factors that might best be categorized here, or might better have their own category or be considered a type of aspect, are MIDPOINTS. The points half-way between two valid planets (or other points), usually along the ecliptic but sometimes in other frameworks, behave, in some respects, like planets. Midpoints are among the factors we know to be valid; the chief uncertainty is how to categorize them. - A start of a midpoint discussion is here: https://www.solunars.com/viewtopic.php?f=10&t=5822
Astrology represents the primary motive forces of our lives and psyches with THE PLANETS, comprising Moon, Sun, and the eight planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus, Neptune, and Pluto. This structure may also include other valid planet-like factors (e.g., astronomical bodies within or outside our solar system or astrophysical structures). We know for sure that it includes the above; we are less firmly persuaded that it includes other factors.
Elaboration
Astrology represents the primary motive forces of our lives and psyches with THE PLANETS. These fundamental energies may be understood through many paradigms of varying usefulness (e.g., they were anciently considered to be gods commanding human behavior and destiny): In psychological language, the planets are most usefully understood to be expressions of fundamental needs and other primitive energies.
Astrological planets include Moon, Sun, and the eight planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus, Neptune, and Pluto. They may also include other valid planet-like factors such as other astronomical bodies within our solar system, stars and other astronomical bodies or structures outside our solar system, or astronomical (mathematical) intersections such as lunar or planetary nodes or equinoctial points. We have greater confidence in some of these than others. Some may be useful only for certain purposes; or, perhaps none of these other objects or points is astrologically valid.
In short, we know for sure that astrological planets include the above ten itemized factors. We are less firmly persuaded that they include other factors.
Among factors that might best be categorized here, or might better have their own category or be considered a type of aspect, are MIDPOINTS. The points half-way between two valid planets (or other points), usually along the ecliptic but sometimes in other frameworks, behave, in some respects, like planets. Midpoints are among the factors we know to be valid; the chief uncertainty is how to categorize them. - A start of a midpoint discussion is here: https://www.solunars.com/viewtopic.php?f=10&t=5822
Jim Eshelman
www.jeshelman.com
www.jeshelman.com
- Jim Eshelman
- Are You Sirius?
- Posts: 19062
- Joined: Sun May 07, 2017 12:40 pm
Astrological Structures: The Constellations (Celestial Framework)
Summary
The celestial sphere is meaningfully divided into twelve lunes called CONSTELLATIONS (colloquially, signs), based on an exactly equal twelfthing of the ecliptic. These lunes are sidereal (aprecessional). Two sections began 24°02'31.36" east of the equinoctial points (mean position) at epoch 1950.0. The others begin at 30° intervals. Their boundaries are precise, without overlap or blur at the boundaries. Placement of planets in constellations is astrologically meaningful.
Elaboration
The celestial sphere is meaningfully divided into twelve lunes (think "orange slices") based on an exactly equal twelve-fold division of the ecliptic. These divisions are sidereal, i.e., exempt from precession of the equinoxes. At epoch 1950.0, the two equinoctial points were 24°02'31.36" west of two of these twelve sections (mean positions), with the others beginning at 30° intervals. We believe these boundaries to be correctly determined to within 1-2".
The boundaries are precise and sharp: There is no overlap or blur ("cusp effect") at the boundaries.
These lunes are called CONSTELLATIONS, or, colloquially, signs. Notice that this definition is not the same as the astronomical convention of the constellations established by 20th century astronomers, but rather fits the definition in the first paragraph above.
Possibly, some other plane than the ecliptic is the foundation of the zodiac. This is doubtful, though, since the proven extreme precision of Sun and Moon conjunctions with 0°00'00" of Capricorn, Aries, Cancer, and Libra likely would not persist evenly on another base-circle unless it were so close to the ecliptic that they were nearly indistinguishable mathematically. Within the framework of Earth's orbital system, Earth's orbital plane is likely the foundation. Outside that, within our solar system, another plane (such as the invariable plane) may serve. Outside our Sun's immediate influence, this may shift to the galactic plane (for example). Whatever the base-plane, the zodiac likely is holographic and disposes itself in an identical pattern from whatever point in the universe one views it.
Placement of planets in constellations is astrologically meaningful. Different contexts (e.g., natal horoscopy vs. mundane astrology) differently value which planets' constellation positions are most important.
The celestial sphere is meaningfully divided into twelve lunes called CONSTELLATIONS (colloquially, signs), based on an exactly equal twelfthing of the ecliptic. These lunes are sidereal (aprecessional). Two sections began 24°02'31.36" east of the equinoctial points (mean position) at epoch 1950.0. The others begin at 30° intervals. Their boundaries are precise, without overlap or blur at the boundaries. Placement of planets in constellations is astrologically meaningful.
Elaboration
The celestial sphere is meaningfully divided into twelve lunes (think "orange slices") based on an exactly equal twelve-fold division of the ecliptic. These divisions are sidereal, i.e., exempt from precession of the equinoxes. At epoch 1950.0, the two equinoctial points were 24°02'31.36" west of two of these twelve sections (mean positions), with the others beginning at 30° intervals. We believe these boundaries to be correctly determined to within 1-2".
The boundaries are precise and sharp: There is no overlap or blur ("cusp effect") at the boundaries.
These lunes are called CONSTELLATIONS, or, colloquially, signs. Notice that this definition is not the same as the astronomical convention of the constellations established by 20th century astronomers, but rather fits the definition in the first paragraph above.
Possibly, some other plane than the ecliptic is the foundation of the zodiac. This is doubtful, though, since the proven extreme precision of Sun and Moon conjunctions with 0°00'00" of Capricorn, Aries, Cancer, and Libra likely would not persist evenly on another base-circle unless it were so close to the ecliptic that they were nearly indistinguishable mathematically. Within the framework of Earth's orbital system, Earth's orbital plane is likely the foundation. Outside that, within our solar system, another plane (such as the invariable plane) may serve. Outside our Sun's immediate influence, this may shift to the galactic plane (for example). Whatever the base-plane, the zodiac likely is holographic and disposes itself in an identical pattern from whatever point in the universe one views it.
Placement of planets in constellations is astrologically meaningful. Different contexts (e.g., natal horoscopy vs. mundane astrology) differently value which planets' constellation positions are most important.
Jim Eshelman
www.jeshelman.com
www.jeshelman.com
- Jim Eshelman
- Are You Sirius?
- Posts: 19062
- Joined: Sun May 07, 2017 12:40 pm
Astrological Structures: Angles (Mundane Framework)
Summary
ANGLES provide the primary framework for measuring planetary expressiveness. Especially this means proximity of each planet to the horizon or meridian. The peak effect is exactly at the angle, tapering bilaterally (at a rate best measured by a sine curve) without a hard boundary where this effect ceases. (Discernible drop-offs are at about 3°, 7°, and 10° from the horizon and meridian.) Ascendant and Midheaven may be stronger than Descendant and IC, or this may be qualitative instead of quantitative. Planets on any of these angles are dramatically more expressive than planets not on an angle).
Other points act as secondary angles: Their orbs are narrower. These, all squares to the primary angles, are also discrete astronomical points. They are Zenith & Nadir (intersections of the meridian and prime vertical, exactly 90° from horizon) and Eastpoint & Westpoint (intersections of the horizon, prime vertical, and celestial equator, exactly 90° from meridian). Eastpoint and Westpoint contacts operate in both longitude and right ascension (squares to MC along both ecliptic and equator). However, Zenith and Nadir contacts are made only in celestial longitude: the points square the horizon in right ascension are not discrete astronomical points and, therefore, have no astrological relevance.
Elaboration
ANGLES provide the primary framework for measuring planetary expressiveness. Especially this means proximity of each planet to the horizon or meridian. Historically, this effect was described as "strength" of the planets; but this may mislead, since many kinds of strength exist. The specific phenomenon measured by proximity to the horizon and meridian is expressiveness, especially external (manifest) expressiveness.
The root idea of "proximity to horizon and meridian" is the most important consideration for this structure. It can be measured in several ways. Evidently, the most-satisfactory way to measure it is along the prime vertical. Planets sufficiently proximate to the horizon or meridian are termed angular or foreground.
The peak effect of planetary expressiveness is exactly at each angle. It then tapers more or less bilaterally (perhaps exactly bilaterally). There is no hard boundary where this effect ceases, although thresholds exist past which the drop-off appears more acute. Discernible drop-offs seem present at about 3°, 7°, and 10° from the horizon or meridian (measured along the prime vertical).
I no longer consider a planet foreground when it is more than 10° from the horizon and meridian. However, there truly is no hard boundary. In astrological practice, one is ultimately concerned with the relative expressiveness of all the planets - looking for the mix of different psychological energies within an individual. If all the planets were in the very least expressive parts of the chart except one that was 12° from an angle, I would observe the latter to be the most expressive planet in the chart but would not extend the label "foreground" or "angular" to it.
The drop-off effect, moving outward from the angle, appears best measured by a sine curve that drops below 50% at a distance of 10°. (Or, as an alternative mathematical model that might be easier to sustain: Setting the 50% threshold at a 15° orb then gives a significant 75% threshold - 50% of "above the line" effect - between 10° and 11° degrees, and a next clear stepping-up at 7.5°.)
Discussions of angularity always require discussion of Michel Gauquelin's work, which is simplistically reported as showing angularity peaks in cadent areas past the actual angles. Bypassing several possible sub-conversations, Michel told me directly that, in their larger studies, the actual peaks - the strongest results - were in the segments exactly at the angles. (The question of how this recedes from that peak is better left for the section on Angularity Variability below.)
By tradition, and as reflected in the Gauquelin results, Ascendant and Midheaven are significantly stronger than Descendant and IC. This may be qualitative instead of quantitative: Ascendant and MC, for example, are historically associated with more outward reaching, centrifugally expressed aspects of life and character than Descendant and IC, which traditionally attach to more private and intimate contexts. In any case, it is clear that planets on any of these angles are dramatically more expressive than planets not on an angle.
Other points act as secondary angles. "Secondary" primarily means that their orbs are narrow, though exact contact probably produces as strong an effect as exact contact with the horizon or meridian. These secondary angles are all (1) points that square (90° aspect) the primary angles and (2) distinct astronomical points in their own right.
(I need to harvest stuff from my older discussion of angularity frameworks, and add it here.)
http://solunars.com/viewtopic.php?f=15&t=1496
ANGLES provide the primary framework for measuring planetary expressiveness. Especially this means proximity of each planet to the horizon or meridian. The peak effect is exactly at the angle, tapering bilaterally (at a rate best measured by a sine curve) without a hard boundary where this effect ceases. (Discernible drop-offs are at about 3°, 7°, and 10° from the horizon and meridian.) Ascendant and Midheaven may be stronger than Descendant and IC, or this may be qualitative instead of quantitative. Planets on any of these angles are dramatically more expressive than planets not on an angle).
Other points act as secondary angles: Their orbs are narrower. These, all squares to the primary angles, are also discrete astronomical points. They are Zenith & Nadir (intersections of the meridian and prime vertical, exactly 90° from horizon) and Eastpoint & Westpoint (intersections of the horizon, prime vertical, and celestial equator, exactly 90° from meridian). Eastpoint and Westpoint contacts operate in both longitude and right ascension (squares to MC along both ecliptic and equator). However, Zenith and Nadir contacts are made only in celestial longitude: the points square the horizon in right ascension are not discrete astronomical points and, therefore, have no astrological relevance.
Elaboration
ANGLES provide the primary framework for measuring planetary expressiveness. Especially this means proximity of each planet to the horizon or meridian. Historically, this effect was described as "strength" of the planets; but this may mislead, since many kinds of strength exist. The specific phenomenon measured by proximity to the horizon and meridian is expressiveness, especially external (manifest) expressiveness.
The root idea of "proximity to horizon and meridian" is the most important consideration for this structure. It can be measured in several ways. Evidently, the most-satisfactory way to measure it is along the prime vertical. Planets sufficiently proximate to the horizon or meridian are termed angular or foreground.
The peak effect of planetary expressiveness is exactly at each angle. It then tapers more or less bilaterally (perhaps exactly bilaterally). There is no hard boundary where this effect ceases, although thresholds exist past which the drop-off appears more acute. Discernible drop-offs seem present at about 3°, 7°, and 10° from the horizon or meridian (measured along the prime vertical).
I no longer consider a planet foreground when it is more than 10° from the horizon and meridian. However, there truly is no hard boundary. In astrological practice, one is ultimately concerned with the relative expressiveness of all the planets - looking for the mix of different psychological energies within an individual. If all the planets were in the very least expressive parts of the chart except one that was 12° from an angle, I would observe the latter to be the most expressive planet in the chart but would not extend the label "foreground" or "angular" to it.
The drop-off effect, moving outward from the angle, appears best measured by a sine curve that drops below 50% at a distance of 10°. (Or, as an alternative mathematical model that might be easier to sustain: Setting the 50% threshold at a 15° orb then gives a significant 75% threshold - 50% of "above the line" effect - between 10° and 11° degrees, and a next clear stepping-up at 7.5°.)
Discussions of angularity always require discussion of Michel Gauquelin's work, which is simplistically reported as showing angularity peaks in cadent areas past the actual angles. Bypassing several possible sub-conversations, Michel told me directly that, in their larger studies, the actual peaks - the strongest results - were in the segments exactly at the angles. (The question of how this recedes from that peak is better left for the section on Angularity Variability below.)
By tradition, and as reflected in the Gauquelin results, Ascendant and Midheaven are significantly stronger than Descendant and IC. This may be qualitative instead of quantitative: Ascendant and MC, for example, are historically associated with more outward reaching, centrifugally expressed aspects of life and character than Descendant and IC, which traditionally attach to more private and intimate contexts. In any case, it is clear that planets on any of these angles are dramatically more expressive than planets not on an angle.
Other points act as secondary angles. "Secondary" primarily means that their orbs are narrow, though exact contact probably produces as strong an effect as exact contact with the horizon or meridian. These secondary angles are all (1) points that square (90° aspect) the primary angles and (2) distinct astronomical points in their own right.
- The Zenith & Nadir are the intersections of the meridian and prime vertical. Their celestial longitudes are exactly 90° from Ascendant and Descendant. Contact is measured in longitude. (When measured along the prime vertical or equator, they are simply MC and IC.) They have a strong effect within 2° and seem to drop off completely after 3°.
- The Eastpoint & Westpoint are the intersections of the horizon, prime vertical, and celestial equator. These are effective along two measuring circles. First, they are exactly 90° from Midheaven and IC in right ascension. (Points called Eastpoint and Westpoint portrayed in a horoscope are ecliptical points with the same right ascension; proximity to these points, though, is correctly measured in RA.) They have a strong effect within 2° and seem to drop off completely after 3°.
- Additionally, the celestial longitudes of Eastpoint and Westpoint are exactly 90° from MC and IC (along the ecliptic). This contact is measured in longitude. (When measured along the prime vertical, they are simply Asc and Dsc.) They have a strong effect within 2° and seem to drop off immediately after that.
(I need to harvest stuff from my older discussion of angularity frameworks, and add it here.)
http://solunars.com/viewtopic.php?f=15&t=1496
Jim Eshelman
www.jeshelman.com
www.jeshelman.com
- Jim Eshelman
- Are You Sirius?
- Posts: 19062
- Joined: Sun May 07, 2017 12:40 pm
Astrological Structures: Angularity Variability
Summary
Maximum expressiveness is precisely at the angles. Minimum expressive may appear differently in the astrology of individual humans vs. that of collectives or non-human phenomena. In mundane charts, the least expressive points are mid-quadrant. In human nativities and solunar returns, the deepest troughs are at the cadent cusps. (I postulate that the human psyche includes a repression factor, peaking at the cadent cusps, independent from the expression factor peaking at the angles.) These two curves mingle. As a practical guide, foreground (maximum expressiveness) is 10° either side of horizon and meridian and background (minimum expressiveness) is from 10° before the cadent cusp to 10° before the succedent cusp. The rest is middleground.
Elaboration
While it is quite certain that angularity peaks exactly at the angles, it is less certain where expressiveness is least. Possibly the structures are different for human and non-human or collective astrology; In fact, I think this is the case.
Three theories present themselves: (1) The weakest/least expressive part of a quadrant is exactly mid-quadrant, 45° along the prime vertical past each angle. (2) The weakest/least expressive part of a quadrant is exactly at the cadent cusps, 30° along the prime vertical past each angle. (3) There is no "weakest spot." Instead, if a planet is not foreground, then it is simply not foreground and has no magnified voice arising from angularity.
Based on available evidence and experience, I think (1) and (2) are correct, depending on context. In order to make this clear, I have to vary from my decision not to discuss evidence in this thread.
IN MUNDANE CHARTS: The largest stable statistical examination of this issue is the Bradley et al. study of Jupiter and Venus angularity in Caplunars for maximum precipitation, one of the strongest studies of any kind in the history of science. This study unequivocally shows the weakest / least expressive points to be mid-quadrant. From this, I accept the angularity / expressiveness curve to be a regular wave that peaks at the angles and troughs halfway between them.
IN NATIVITIES & RETURN CHARTS: However, other studies, much smaller but nonetheless competently performed (especially by Bradley in the early 1950s, but also small studies I've done over the years), show peaks at the angles and troughs at the cadent cusps in natal horoscopes and lunar returns. Accepting this evidence at face value and seeing it confirmed in practice, I take this to be the correct pattern for charts pertaining to humans.
My theoretical explanation for separate schemes is that the human psyche includes a factor of repressiveness independent from the angularity expressiveness. (Knowing human nature, this isn't at all a strange-seeming idea.) The repressiveness curve would peak (maximize) at the cadent cusp and trough (be least effective) half-way between them. Whichever of the expressiveness and repressiveness curves is stronger at a given point prevails and, when both are (say) above 50% in strength, they blend to produce a middling effect that is startlingly similar to statistical graphs produced by observed phenomenon.
As a practical working model based on the interplay of independent expressiveness and repressiveness curves, and emphasizing that the true picture is a gradually rising and falling strength in these curves, I offer the following working definitions that function well in practice in nativities and return charts: Foreground is a 20°-wide zone 10° either side of horizon and meridian. Background is a 30°-wide zone from 10° before the cadent cusp to 10° before the succedent cusp. Middleground is what's left, meaning the middle third of cadent houses, and the area 10° before the succedent cusps to 10° before the angular cusps.
The background areas are mostly formed from the maximum strength of the repressiveness curve, and partly from its mingling with the weakness of the expressiveness curve.
For a tedious discussion of fine points, see: https://www.solunars.com/viewtopic.php?f=15&t=173#p1105
Mikestar13 offered a way to calculate a graduated angularity score based on this model: https://www.solunars.com/viewtopic.php? ... 1105#p9905
Maximum expressiveness is precisely at the angles. Minimum expressive may appear differently in the astrology of individual humans vs. that of collectives or non-human phenomena. In mundane charts, the least expressive points are mid-quadrant. In human nativities and solunar returns, the deepest troughs are at the cadent cusps. (I postulate that the human psyche includes a repression factor, peaking at the cadent cusps, independent from the expression factor peaking at the angles.) These two curves mingle. As a practical guide, foreground (maximum expressiveness) is 10° either side of horizon and meridian and background (minimum expressiveness) is from 10° before the cadent cusp to 10° before the succedent cusp. The rest is middleground.
Elaboration
While it is quite certain that angularity peaks exactly at the angles, it is less certain where expressiveness is least. Possibly the structures are different for human and non-human or collective astrology; In fact, I think this is the case.
Three theories present themselves: (1) The weakest/least expressive part of a quadrant is exactly mid-quadrant, 45° along the prime vertical past each angle. (2) The weakest/least expressive part of a quadrant is exactly at the cadent cusps, 30° along the prime vertical past each angle. (3) There is no "weakest spot." Instead, if a planet is not foreground, then it is simply not foreground and has no magnified voice arising from angularity.
Based on available evidence and experience, I think (1) and (2) are correct, depending on context. In order to make this clear, I have to vary from my decision not to discuss evidence in this thread.
IN MUNDANE CHARTS: The largest stable statistical examination of this issue is the Bradley et al. study of Jupiter and Venus angularity in Caplunars for maximum precipitation, one of the strongest studies of any kind in the history of science. This study unequivocally shows the weakest / least expressive points to be mid-quadrant. From this, I accept the angularity / expressiveness curve to be a regular wave that peaks at the angles and troughs halfway between them.
IN NATIVITIES & RETURN CHARTS: However, other studies, much smaller but nonetheless competently performed (especially by Bradley in the early 1950s, but also small studies I've done over the years), show peaks at the angles and troughs at the cadent cusps in natal horoscopes and lunar returns. Accepting this evidence at face value and seeing it confirmed in practice, I take this to be the correct pattern for charts pertaining to humans.
My theoretical explanation for separate schemes is that the human psyche includes a factor of repressiveness independent from the angularity expressiveness. (Knowing human nature, this isn't at all a strange-seeming idea.) The repressiveness curve would peak (maximize) at the cadent cusp and trough (be least effective) half-way between them. Whichever of the expressiveness and repressiveness curves is stronger at a given point prevails and, when both are (say) above 50% in strength, they blend to produce a middling effect that is startlingly similar to statistical graphs produced by observed phenomenon.
As a practical working model based on the interplay of independent expressiveness and repressiveness curves, and emphasizing that the true picture is a gradually rising and falling strength in these curves, I offer the following working definitions that function well in practice in nativities and return charts: Foreground is a 20°-wide zone 10° either side of horizon and meridian. Background is a 30°-wide zone from 10° before the cadent cusp to 10° before the succedent cusp. Middleground is what's left, meaning the middle third of cadent houses, and the area 10° before the succedent cusps to 10° before the angular cusps.
The background areas are mostly formed from the maximum strength of the repressiveness curve, and partly from its mingling with the weakness of the expressiveness curve.
For a tedious discussion of fine points, see: https://www.solunars.com/viewtopic.php?f=15&t=173#p1105
Mikestar13 offered a way to calculate a graduated angularity score based on this model: https://www.solunars.com/viewtopic.php? ... 1105#p9905
Jim Eshelman
www.jeshelman.com
www.jeshelman.com
- Jim Eshelman
- Are You Sirius?
- Posts: 19062
- Joined: Sun May 07, 2017 12:40 pm
Astrological Structures: Aspects: Reference Circles
I need to discuss three important topics concerning ASPECTS: (1) reference circles, (2) specific harmonics, and (3) orbs. This section addresses REFERENCE CIRCLES of ASPECTS.
Summary
ASPECTS are specific astrologically meaningful geometrical relationships between positions of two planets deemed to dynamically connect their natures. Aspects seem effective in multiple reference circles, projecting the two planets onto the relevant reference circle (dropping great circles through each body perpendicular to the circle). Our primary reference circle for aspects is the ecliptic (in celestial longitude), the foundation of most astrological work with aspects. Additionally, the prime vertical has proven comparably important. Aspects sometimes seem valid along other measuring circles, though some or all of these observed effects may be proxies of co-angularity or other phenomena that act like aspects. (Co-Angularity is an aspect-like condition where two planets are simultaneously on an angle: These are most productively interpreted as if they were in aspect.)
Elaboration
Aspects are specific, astrologically meaningful geometrical relationships between the positions of two planets deemed to dynamically connect the natures of the two bodies. This definition requires that we identify how to measure that geometrical relationship, viz., that we identify the reference circle along which an angular separation can be measured.
Aspects seem effective in multiple reference circles. In most cases (and perhaps all effective cases), this measurement occurs by projecting the two planets onto the reference circle by dropping great circles through each body perpendicular to the measuring circle. To give a familiar example on the surface of Earth, instead of measuring the distance from Chicago to London by a direct route "as the crow flies" (3,952 miles, or one-sixth of Earth's circumference), aspect measurement is like finding the difference in the geographic longitudes of the two cities (0W10 to 87W39 = 87°29', or approximately one-fourth of the way around the globe).
One thing we know for sure: Aspects in celestial longitude (measured along the ecliptic) are valid. These are the foundation of most astrological work that has been done with aspects. Both experience and objective (statistical) assessment substantiate this. (John Nelson's work especially demonstrates their importance.) The ecliptic is our primary reference circle for aspects.
But the ecliptic is not the only viable measuring circle. The prime vertical has proven nearly as important. Initially, mundane astrology (work with Sidereal solar and lunar ingresses) showed beyond reasonable doubt that close-orbed Moon aspects along the prime vertical are valid independent of whether they are near angles. Subsequent work with personal horoscopes has confirmed close hard PV aspects in practice, though not yet with statistical (mass data) level confirmation.
Aspects also seem, at times, valid along other measuring circles, such as the equator (in right ascension) or the horizon (in azimuth). These, however, may not be aspects in the usual sense but, rather, a special case of co-angularity; for the only cases in which these have been well-demonstrated are aspects between two planets proximate to angles. For example, if one planet is on Midheaven and another on Eastpoint (two points defined explicitly in terms of the celestial equator), the precision of their square in right ascension often has been found more exact than their square in longitude. The same is true of planets on the Vertex-Antivertex axis when their positions are measured in azimuth instead of longitude. But the same validity has not been observed in RA or azimuth aspects that are away from the angles. Possibly, this simply has been missed so far and will be found relevant in future investigations; but, based on evidence at hand, we can only attest to these aspect formations immediately on the angles measured in those frameworks, so they may not actually be aspects, but, rather, artifacts of co-angularity (such as timing based on the averaging, or "best fit" peak of their relationships to the angles).
Prime vertical aspects (also called mundoscope aspects or, simply, mundane aspects) have no such limitation, as attested by the demonstrable validity of PV Moon aspects regardless of placement within a chart quadrant. I recommend that any future testing of RA or azimuth aspects follow the same path: Use Sidereal solar and lunar ingresses for testing (since there is no question of "birth time" accuracy) and concentrate on the extremely important Moon aspects as a starting point.
Mundane aspects may only be valuable in certain situations. This will be addressed in later sections below.
Other reference circles that have been proposed for measuring aspects, includng great circles vertical to the equator (measurements of declination) or horizon (measurements of altitude) for measuring one or another variety of parallel aspect. Based on experience, these appear to be invalid.
Parans are a special form of aspect. They are actually not as complicated as they usually are portrayed, and we don't really need this separate name for them. A paran (modern nickname for paranatellon), as used by contemporary astrologers, exists when two planets are simultaneously on some angle and the geometric relationship between the two angles is a conjunction, opposition, or square in some framework; e.g., one planet rising and another culminating, making them 90° apart along the prime vertical. In other words, parans are simply ordinary mundane aspects where both planets are simultaneously angular.
Therefore, parans are a subset of the broader category of Co-Angularity. This aspect-like condition exists when two planets are simultaneously on an angle, which can include cases where they don't actually have an aspect in the usual sense (e.g., one on Midheaven and one square Ascendant). It seems these should be treated much as if they are in aspect.
Another aspect-like condition is Mutual Reception. This occurs when each planet is in a constellation ruled by the other, e.g., Moon in Aquarius and Uranus in Cancer. Since each planet is then modified or conditioned by characteristics of the other planet, the effect resembles them being in aspect. However, because sign placements (especially of outer planets) is weaker than that of aspects, the effect of Mutual Reception is less intense. Its importance probably varies more or less proportionate to the importance of the individual sign placements.
The one exception to the statement that measurement of aspects occurs by projecting the two planets onto the reference circle is the category some astrologers call "3D" aspects. These are measured along a great circle passing directly through the two planets, rather than "referring them" to another circle such as the ecliptic. This is like measuring the distance from Chicago to London "as the crow flies."
This idea is theoretically elegant and deserves attention. First, because most planets remain close to the ecliptic, the difference between 3D aspects and the familiar ecliptical aspects usually will be slight: One could have been mistaken for the other over time. I list it here as a reasonable, worthwhile theory. However, I no longer have confidence in the theory: In a few dozen charts of people I know well, I concentrated on 3D aspects of Pluto (the planet that can move farthest from the ecliptic) and found many cases were a Pluto aspect existed in either 3D (direct grand circle) or longitude (ecliptic) but not the other. In nearly every case, close ecliptical aspects of Pluto were singularly expressive, while close 3D Pluto aspects (without an ecliptical aspect) were not. This discourages confidence in 3D aspects.
Summary
ASPECTS are specific astrologically meaningful geometrical relationships between positions of two planets deemed to dynamically connect their natures. Aspects seem effective in multiple reference circles, projecting the two planets onto the relevant reference circle (dropping great circles through each body perpendicular to the circle). Our primary reference circle for aspects is the ecliptic (in celestial longitude), the foundation of most astrological work with aspects. Additionally, the prime vertical has proven comparably important. Aspects sometimes seem valid along other measuring circles, though some or all of these observed effects may be proxies of co-angularity or other phenomena that act like aspects. (Co-Angularity is an aspect-like condition where two planets are simultaneously on an angle: These are most productively interpreted as if they were in aspect.)
Elaboration
Aspects are specific, astrologically meaningful geometrical relationships between the positions of two planets deemed to dynamically connect the natures of the two bodies. This definition requires that we identify how to measure that geometrical relationship, viz., that we identify the reference circle along which an angular separation can be measured.
Aspects seem effective in multiple reference circles. In most cases (and perhaps all effective cases), this measurement occurs by projecting the two planets onto the reference circle by dropping great circles through each body perpendicular to the measuring circle. To give a familiar example on the surface of Earth, instead of measuring the distance from Chicago to London by a direct route "as the crow flies" (3,952 miles, or one-sixth of Earth's circumference), aspect measurement is like finding the difference in the geographic longitudes of the two cities (0W10 to 87W39 = 87°29', or approximately one-fourth of the way around the globe).
One thing we know for sure: Aspects in celestial longitude (measured along the ecliptic) are valid. These are the foundation of most astrological work that has been done with aspects. Both experience and objective (statistical) assessment substantiate this. (John Nelson's work especially demonstrates their importance.) The ecliptic is our primary reference circle for aspects.
But the ecliptic is not the only viable measuring circle. The prime vertical has proven nearly as important. Initially, mundane astrology (work with Sidereal solar and lunar ingresses) showed beyond reasonable doubt that close-orbed Moon aspects along the prime vertical are valid independent of whether they are near angles. Subsequent work with personal horoscopes has confirmed close hard PV aspects in practice, though not yet with statistical (mass data) level confirmation.
Aspects also seem, at times, valid along other measuring circles, such as the equator (in right ascension) or the horizon (in azimuth). These, however, may not be aspects in the usual sense but, rather, a special case of co-angularity; for the only cases in which these have been well-demonstrated are aspects between two planets proximate to angles. For example, if one planet is on Midheaven and another on Eastpoint (two points defined explicitly in terms of the celestial equator), the precision of their square in right ascension often has been found more exact than their square in longitude. The same is true of planets on the Vertex-Antivertex axis when their positions are measured in azimuth instead of longitude. But the same validity has not been observed in RA or azimuth aspects that are away from the angles. Possibly, this simply has been missed so far and will be found relevant in future investigations; but, based on evidence at hand, we can only attest to these aspect formations immediately on the angles measured in those frameworks, so they may not actually be aspects, but, rather, artifacts of co-angularity (such as timing based on the averaging, or "best fit" peak of their relationships to the angles).
Prime vertical aspects (also called mundoscope aspects or, simply, mundane aspects) have no such limitation, as attested by the demonstrable validity of PV Moon aspects regardless of placement within a chart quadrant. I recommend that any future testing of RA or azimuth aspects follow the same path: Use Sidereal solar and lunar ingresses for testing (since there is no question of "birth time" accuracy) and concentrate on the extremely important Moon aspects as a starting point.
Mundane aspects may only be valuable in certain situations. This will be addressed in later sections below.
Other reference circles that have been proposed for measuring aspects, includng great circles vertical to the equator (measurements of declination) or horizon (measurements of altitude) for measuring one or another variety of parallel aspect. Based on experience, these appear to be invalid.
Parans are a special form of aspect. They are actually not as complicated as they usually are portrayed, and we don't really need this separate name for them. A paran (modern nickname for paranatellon), as used by contemporary astrologers, exists when two planets are simultaneously on some angle and the geometric relationship between the two angles is a conjunction, opposition, or square in some framework; e.g., one planet rising and another culminating, making them 90° apart along the prime vertical. In other words, parans are simply ordinary mundane aspects where both planets are simultaneously angular.
Therefore, parans are a subset of the broader category of Co-Angularity. This aspect-like condition exists when two planets are simultaneously on an angle, which can include cases where they don't actually have an aspect in the usual sense (e.g., one on Midheaven and one square Ascendant). It seems these should be treated much as if they are in aspect.
Another aspect-like condition is Mutual Reception. This occurs when each planet is in a constellation ruled by the other, e.g., Moon in Aquarius and Uranus in Cancer. Since each planet is then modified or conditioned by characteristics of the other planet, the effect resembles them being in aspect. However, because sign placements (especially of outer planets) is weaker than that of aspects, the effect of Mutual Reception is less intense. Its importance probably varies more or less proportionate to the importance of the individual sign placements.
The one exception to the statement that measurement of aspects occurs by projecting the two planets onto the reference circle is the category some astrologers call "3D" aspects. These are measured along a great circle passing directly through the two planets, rather than "referring them" to another circle such as the ecliptic. This is like measuring the distance from Chicago to London "as the crow flies."
This idea is theoretically elegant and deserves attention. First, because most planets remain close to the ecliptic, the difference between 3D aspects and the familiar ecliptical aspects usually will be slight: One could have been mistaken for the other over time. I list it here as a reasonable, worthwhile theory. However, I no longer have confidence in the theory: In a few dozen charts of people I know well, I concentrated on 3D aspects of Pluto (the planet that can move farthest from the ecliptic) and found many cases were a Pluto aspect existed in either 3D (direct grand circle) or longitude (ecliptic) but not the other. In nearly every case, close ecliptical aspects of Pluto were singularly expressive, while close 3D Pluto aspects (without an ecliptical aspect) were not. This discourages confidence in 3D aspects.
Jim Eshelman
www.jeshelman.com
www.jeshelman.com
- Jim Eshelman
- Are You Sirius?
- Posts: 19062
- Joined: Sun May 07, 2017 12:40 pm
Astrological Structures: Aspects: Specific Harmonics
Summary
The astrological value of an aspect is primarily an interaction of the natures of the two planets, a co-existence or mingling of the needs corresponding to each planet, a "firing off" of two circuits simultaneously, each modifying or conditioning the expression of the other. Only secondarily do we find distinctions between different aspect types. Aspect families are based on dividing a circle by a prime number, then successively halving that value one or more times, each halving representing a degradation of strength and simplicity of the aspect's expression. The OPPOSITION Family (division by 2) aka hard aspects or dynamic aspects, share characteristics of dynamic action, incentive, and movement, or activity, force, energy, and change. These are instinctual, direct, impulse-driven. The TRINE Family (division by 3) aka soft aspects or static aspects, are placid, quiet, still, a status quo or lack of visible change. Less instinctual than hard aspects, they form more complexly architected rational structures. Additionally, all 10°-multiples appear to be valid aspects within tiny orbs.
Elaboration
The astrological value (meaning) of an aspect expresses an interaction of the nature of the two planets, regardless of which aspect they form. This interaction of the two planets can be viewed in different ways, e.g., a co-existence and interrelationship of the needs corresponding to each planet, a "firing off" of the two circuits simultaneously, each planet modifying or conditioning the expression of the other, etc. Ultimately, these are all variants of the same idea and likely will be valid approaches as long as they boil down to the co-expression or interaction of the two planetary ideas.
Nonetheless, once we understand the primary meaning of an aspect to be the co-expression of the two planets, we also find distinctions between different aspect types (different angular separations). The most obvious distinctions appear to group in families of aspects. The aspect families are based on the division of a circle by a prime number and then the halving of that value one or more times. Each halving represents a degradation of strength and simplicity of the aspect's expression.
We need to keep the greatest interpretive attention on the natures of the planets involved, not on the type of aspect. This being so, the primary distinction is whether two planets are in viable aspect. (Strength gradients exist for those in aspect. Still, in practice, aspect strength looks more like a light-switch that you punch to turn on-off and turn to adjust intensity.) Even though there is no absolute "off" setting, there do appear to be thresholds beyond which the drop-off is acute. I measure this at the 50% threshold with the strength of an aspect expressing the odds that it will manifest: Dropping from 51% to 49% strength means crossing a line between more likely to manifest than not to not likely to manifest.)
While meaningful connection theoretically could exist with any prime division of the circle, there comes a point where the practicality of a further "family" of aspects collapses because we start to lose distinction between whether a planet pair is "in aspect" or not. For example, 1/7 of the circle is 51.4°, not close to another aspect; but 1/11 is 32.7° and 1/13 is 27.7°, not only close to each other but also close to the 30° aspect (semi-sextile) that may be of some importance. It would be absurd if aspects of 27.7°, 30°, and 32.7° all existed, even if they had only a 1° orb. This simply points out that there has to come a point where we stop defining further aspects.
Here are known aspect families, and what I believe are the distinctive characteristics of each. The divisors are all prime numbers.
Division by 1: 360°/1 = 360° = 0°. Theoretically this includes the CONJUNCTION (0°). I actually question whether there is a "1 series," though, because aspects are measured by the angular separation between two great circles. The great circle (say, the circle of celestial longitude at right angles to the ecliptic) passing through a given planet wraps around the whole 360° of the celestial sphere and includes the opposition point on the opposite side. That is, if we measure the angular separation between two great circles, the conjunction and opposition appear to be the same aspect. (This doesn't mean we can't distinguish between one and the other half of the same great circle, but it does solve a few small technical problems.) Consider the conjunction as included in the next paragraph along with the opposition.
NOTE: In practice, conjunctions do seem to have more of a sense of identification, while oppositions often have more sense of one planet working on the other.
Division by 2: 360°/2 = 180°. This is the OPPOSITION Family, also called hard aspects or dynamic aspects. They are instinctual, direct, and driven, expressing as action, incentive, and movement. ("Dynamic" broadly implies activity, force, energy, and change.) They show the energies of survival needs in Maslow's hierarchy. The CONJUNCTION (0°) and OPPOSITION (180°) are the Tier 1 members of this family. Tier 2 (first halving) produces the SQUARE (90°), which is nearly as strong and of similar character. Tier 3 (second halving) produces the SEMI-SQUARE (45°) and SESQUI-SQUARE (135°) (together called OCTILES), which are weaker but still important, and of a similar nature (but perhaps having a more discernible friction or drag than the square, as their energy drops off). Some astrologers, especially of German schools, apply a third degradation to the 22.5° series: I have seen these operate in Solar Arc directions with tiny orbs, but firmly reject them in natal charts (where they may indicate maximum distance from being in aspect, the two planets being acutely anaspectic. Tier 3 appears to be the effective drop-off point in natal astrology.
NOTE: While the semi-square and sesqui-square have been called, respectively, octile (one-eighth) and tri-octile (three times one-eighth), I see no need to distinguish between their names. There is no interpretive distinction. I have moved to calling both of these aspects "octile."
Division by 3: 360°/3 = 120°. This is the TRINE Family. This aspect set is also called soft aspects or static aspects. They are placid, quiet, and still, not inciting movement or change. Less instinctual, rarely driven or pressured in their expression, and disinclined to change or movement, they mark structures within the personality (often mental, formed within the complexly architected rational-cognitive part of the psyche). They may show the energies organizing the social or esteem needs in Maslow's hierarchy. The TRINE (120°) is the Tier 1 member of this family. Tier 2 (the first halving) produces the SEXTILE (60°), which is nearly as strong and of similar character. Tier 3 (second halving) produces a 30° series that, aside from other aspects already identified, adds the SEMI-SEXTILE (30°) and QUINCUNX (150°): These seem extremely weak at best and of questionable value: Since Tier 3 aspects in other families seem strong, the likely explanation of the weakness is that the static, unmoving quality of this family has become so frozen and entrenched at Tier 3 as to be effectively immobile. Understandably, ancient astrologers termed these two aspects inconjunct or "no aspect." Occasionally they seem more like anti-aspects, their presence showing disjunction between two planets, even a sense of alienation of one from the other. (Inquiry: How does this compare to what I suggested for the odd multiples of the 22.5° series?)
NOTE: A much different mathematical development supports similar conditions. Viewing aspects as formed by the angular separation between two circles of position, the trine and sextile are the same aspect - there is no mathematical difference. Perhaps aspects formed by dividing the circle by 3 do not subdivide by 2 (like the 2 Series), but by 3! This gives us the trine and sextile from the primary division; the absence of the 30° and 150° aspects (because there is no binary splitting); and immediately produces Tier 2 as the one-ninth Novien-rooted division that seems otherwise outside the general pattern. This might be the model that integrates all the pieces more tightly.
Division by 5: 360°/5 = 72°. This is the QUINTILE Family. Members of this aspect set represent functions of the psyche that unfold as self-actualization (in the Maslow sense) and deeper spiritual unfolding/disclosure occurs, or genius unfurls, and, therefore, are of limited or no value in interpreting most horoscopes. The QUINTILE (72°) and BIQUINTILE (144°) are the Tier 1 members of this family. (I don't know that they need separate names: "quintile" serves them both.) Tier 2 (first halving) produces the DECILE (36°), which is nearly as strong and of similar character. Tier 3 (second halving) to the 18° series appears to be valid for the highly specialized purposes of this aspect family. (The best way to view these is a 5th harmonic chart, in which conjunctions, oppositions, and squares represent the three tiers and orbs are instinctual.) A more thorough study of this series is here: http://solunars.com/viewtopic.php?f=16&t=301#p1981
NOTE: In a "circles of position" model, the 72° and 108° aspects and the 144° and 36° aspects are the same aspect. This would mean that Tier 1 subsumes the decile series and only the odd-numbered 18° series actually formulates Tier 2.
Division by 7: 360°/7 = 51°26.7'. This is the SEPTILE Family. I have not been able to discern a distinctive characteristic of this family, even though I have theories, and even though I have motivation since my own Sun and Moon are in triseptile aspect. (It arguably would be a defining theme in my life.) My theories center around seven's relationship to unreason (perhaps intuition), but I have no evidence that this is relevant or what it would mean in practice. Some astrologers credit these aspects with an inspirational or other-worldly character, which I find nearly as obscure. John Addey, from his Harmonics research, characterized it as having a "repressive and disturbing" character, but with more concrete details that don't hold up. Dane Rudhyar theorized that it gives an "anti-social predisposition" that "tends to escape from collective constraints." I have insufficient basis to substantiate either of these. Following the seeming unfolding of Maslow's hierarchy of needs in the earlier families, one might suspect an expression of meta-needs or transcendental needs. The SEPTILE (51.4°), BISEPTILE (102.9°), and TRISEPTILE (154.3°) are the Tier 1 members of this family. (The best way to view these and their tiered degradations is a 7th harmonic chart.)
Beyond this point, there seems no reason to explore further families. The Septile family seems not understood at all. Division of the circle by 11 and 13 produce aspects that are so close to a semi-sextile that they provide little opportunity for two planets to be out of aspect. We may have hit a practical limit. In most horoscopes, we will find practical value only in the Opposition and Trine series.
On the other hand, in highly specialized situations micro-aspects have proven useful. John Nelson's work comes immediately to mind: He descended to at least the 22.5° and 15° multiples and maybe further to refine his techniques of sunspot and solar flare prediction. Orbs in such instances are tiny, and raw geometric mechanics of the universe seem in play with little or no planet-distinctive characterization.
NOTE: There is a seeming exception, outside the framework of the above. Siderealists have widely embraced the validity of the Novien sub-chart, a form of 9th harmonic. Hard aspects in the Novien are often given considerable importance. To identify all conjunctions, oppositions, and squares in the Novien, one can simply look at all 10°-multiples in the horoscope. Orbs for these, however, are quite small, one-ninth the orbs in a nativity; generally under 0°40' and preferably under 0°20'. I suspect that most impressive examples of semi-sextiles and quincunxes are actually simply 10° multiples. The NONILE would arise from thirding the Trine series rather than successively halving it, and becomes integrated with the larger model (instead of separate from it) if the Trine (3) series further divides by 3 instead of by 2.
The astrological value of an aspect is primarily an interaction of the natures of the two planets, a co-existence or mingling of the needs corresponding to each planet, a "firing off" of two circuits simultaneously, each modifying or conditioning the expression of the other. Only secondarily do we find distinctions between different aspect types. Aspect families are based on dividing a circle by a prime number, then successively halving that value one or more times, each halving representing a degradation of strength and simplicity of the aspect's expression. The OPPOSITION Family (division by 2) aka hard aspects or dynamic aspects, share characteristics of dynamic action, incentive, and movement, or activity, force, energy, and change. These are instinctual, direct, impulse-driven. The TRINE Family (division by 3) aka soft aspects or static aspects, are placid, quiet, still, a status quo or lack of visible change. Less instinctual than hard aspects, they form more complexly architected rational structures. Additionally, all 10°-multiples appear to be valid aspects within tiny orbs.
Elaboration
The astrological value (meaning) of an aspect expresses an interaction of the nature of the two planets, regardless of which aspect they form. This interaction of the two planets can be viewed in different ways, e.g., a co-existence and interrelationship of the needs corresponding to each planet, a "firing off" of the two circuits simultaneously, each planet modifying or conditioning the expression of the other, etc. Ultimately, these are all variants of the same idea and likely will be valid approaches as long as they boil down to the co-expression or interaction of the two planetary ideas.
Nonetheless, once we understand the primary meaning of an aspect to be the co-expression of the two planets, we also find distinctions between different aspect types (different angular separations). The most obvious distinctions appear to group in families of aspects. The aspect families are based on the division of a circle by a prime number and then the halving of that value one or more times. Each halving represents a degradation of strength and simplicity of the aspect's expression.
We need to keep the greatest interpretive attention on the natures of the planets involved, not on the type of aspect. This being so, the primary distinction is whether two planets are in viable aspect. (Strength gradients exist for those in aspect. Still, in practice, aspect strength looks more like a light-switch that you punch to turn on-off and turn to adjust intensity.) Even though there is no absolute "off" setting, there do appear to be thresholds beyond which the drop-off is acute. I measure this at the 50% threshold with the strength of an aspect expressing the odds that it will manifest: Dropping from 51% to 49% strength means crossing a line between more likely to manifest than not to not likely to manifest.)
While meaningful connection theoretically could exist with any prime division of the circle, there comes a point where the practicality of a further "family" of aspects collapses because we start to lose distinction between whether a planet pair is "in aspect" or not. For example, 1/7 of the circle is 51.4°, not close to another aspect; but 1/11 is 32.7° and 1/13 is 27.7°, not only close to each other but also close to the 30° aspect (semi-sextile) that may be of some importance. It would be absurd if aspects of 27.7°, 30°, and 32.7° all existed, even if they had only a 1° orb. This simply points out that there has to come a point where we stop defining further aspects.
Here are known aspect families, and what I believe are the distinctive characteristics of each. The divisors are all prime numbers.
Division by 1: 360°/1 = 360° = 0°. Theoretically this includes the CONJUNCTION (0°). I actually question whether there is a "1 series," though, because aspects are measured by the angular separation between two great circles. The great circle (say, the circle of celestial longitude at right angles to the ecliptic) passing through a given planet wraps around the whole 360° of the celestial sphere and includes the opposition point on the opposite side. That is, if we measure the angular separation between two great circles, the conjunction and opposition appear to be the same aspect. (This doesn't mean we can't distinguish between one and the other half of the same great circle, but it does solve a few small technical problems.) Consider the conjunction as included in the next paragraph along with the opposition.
NOTE: In practice, conjunctions do seem to have more of a sense of identification, while oppositions often have more sense of one planet working on the other.
Division by 2: 360°/2 = 180°. This is the OPPOSITION Family, also called hard aspects or dynamic aspects. They are instinctual, direct, and driven, expressing as action, incentive, and movement. ("Dynamic" broadly implies activity, force, energy, and change.) They show the energies of survival needs in Maslow's hierarchy. The CONJUNCTION (0°) and OPPOSITION (180°) are the Tier 1 members of this family. Tier 2 (first halving) produces the SQUARE (90°), which is nearly as strong and of similar character. Tier 3 (second halving) produces the SEMI-SQUARE (45°) and SESQUI-SQUARE (135°) (together called OCTILES), which are weaker but still important, and of a similar nature (but perhaps having a more discernible friction or drag than the square, as their energy drops off). Some astrologers, especially of German schools, apply a third degradation to the 22.5° series: I have seen these operate in Solar Arc directions with tiny orbs, but firmly reject them in natal charts (where they may indicate maximum distance from being in aspect, the two planets being acutely anaspectic. Tier 3 appears to be the effective drop-off point in natal astrology.
NOTE: While the semi-square and sesqui-square have been called, respectively, octile (one-eighth) and tri-octile (three times one-eighth), I see no need to distinguish between their names. There is no interpretive distinction. I have moved to calling both of these aspects "octile."
Division by 3: 360°/3 = 120°. This is the TRINE Family. This aspect set is also called soft aspects or static aspects. They are placid, quiet, and still, not inciting movement or change. Less instinctual, rarely driven or pressured in their expression, and disinclined to change or movement, they mark structures within the personality (often mental, formed within the complexly architected rational-cognitive part of the psyche). They may show the energies organizing the social or esteem needs in Maslow's hierarchy. The TRINE (120°) is the Tier 1 member of this family. Tier 2 (the first halving) produces the SEXTILE (60°), which is nearly as strong and of similar character. Tier 3 (second halving) produces a 30° series that, aside from other aspects already identified, adds the SEMI-SEXTILE (30°) and QUINCUNX (150°): These seem extremely weak at best and of questionable value: Since Tier 3 aspects in other families seem strong, the likely explanation of the weakness is that the static, unmoving quality of this family has become so frozen and entrenched at Tier 3 as to be effectively immobile. Understandably, ancient astrologers termed these two aspects inconjunct or "no aspect." Occasionally they seem more like anti-aspects, their presence showing disjunction between two planets, even a sense of alienation of one from the other. (Inquiry: How does this compare to what I suggested for the odd multiples of the 22.5° series?)
NOTE: A much different mathematical development supports similar conditions. Viewing aspects as formed by the angular separation between two circles of position, the trine and sextile are the same aspect - there is no mathematical difference. Perhaps aspects formed by dividing the circle by 3 do not subdivide by 2 (like the 2 Series), but by 3! This gives us the trine and sextile from the primary division; the absence of the 30° and 150° aspects (because there is no binary splitting); and immediately produces Tier 2 as the one-ninth Novien-rooted division that seems otherwise outside the general pattern. This might be the model that integrates all the pieces more tightly.
Division by 5: 360°/5 = 72°. This is the QUINTILE Family. Members of this aspect set represent functions of the psyche that unfold as self-actualization (in the Maslow sense) and deeper spiritual unfolding/disclosure occurs, or genius unfurls, and, therefore, are of limited or no value in interpreting most horoscopes. The QUINTILE (72°) and BIQUINTILE (144°) are the Tier 1 members of this family. (I don't know that they need separate names: "quintile" serves them both.) Tier 2 (first halving) produces the DECILE (36°), which is nearly as strong and of similar character. Tier 3 (second halving) to the 18° series appears to be valid for the highly specialized purposes of this aspect family. (The best way to view these is a 5th harmonic chart, in which conjunctions, oppositions, and squares represent the three tiers and orbs are instinctual.) A more thorough study of this series is here: http://solunars.com/viewtopic.php?f=16&t=301#p1981
NOTE: In a "circles of position" model, the 72° and 108° aspects and the 144° and 36° aspects are the same aspect. This would mean that Tier 1 subsumes the decile series and only the odd-numbered 18° series actually formulates Tier 2.
Division by 7: 360°/7 = 51°26.7'. This is the SEPTILE Family. I have not been able to discern a distinctive characteristic of this family, even though I have theories, and even though I have motivation since my own Sun and Moon are in triseptile aspect. (It arguably would be a defining theme in my life.) My theories center around seven's relationship to unreason (perhaps intuition), but I have no evidence that this is relevant or what it would mean in practice. Some astrologers credit these aspects with an inspirational or other-worldly character, which I find nearly as obscure. John Addey, from his Harmonics research, characterized it as having a "repressive and disturbing" character, but with more concrete details that don't hold up. Dane Rudhyar theorized that it gives an "anti-social predisposition" that "tends to escape from collective constraints." I have insufficient basis to substantiate either of these. Following the seeming unfolding of Maslow's hierarchy of needs in the earlier families, one might suspect an expression of meta-needs or transcendental needs. The SEPTILE (51.4°), BISEPTILE (102.9°), and TRISEPTILE (154.3°) are the Tier 1 members of this family. (The best way to view these and their tiered degradations is a 7th harmonic chart.)
Beyond this point, there seems no reason to explore further families. The Septile family seems not understood at all. Division of the circle by 11 and 13 produce aspects that are so close to a semi-sextile that they provide little opportunity for two planets to be out of aspect. We may have hit a practical limit. In most horoscopes, we will find practical value only in the Opposition and Trine series.
On the other hand, in highly specialized situations micro-aspects have proven useful. John Nelson's work comes immediately to mind: He descended to at least the 22.5° and 15° multiples and maybe further to refine his techniques of sunspot and solar flare prediction. Orbs in such instances are tiny, and raw geometric mechanics of the universe seem in play with little or no planet-distinctive characterization.
NOTE: There is a seeming exception, outside the framework of the above. Siderealists have widely embraced the validity of the Novien sub-chart, a form of 9th harmonic. Hard aspects in the Novien are often given considerable importance. To identify all conjunctions, oppositions, and squares in the Novien, one can simply look at all 10°-multiples in the horoscope. Orbs for these, however, are quite small, one-ninth the orbs in a nativity; generally under 0°40' and preferably under 0°20'. I suspect that most impressive examples of semi-sextiles and quincunxes are actually simply 10° multiples. The NONILE would arise from thirding the Trine series rather than successively halving it, and becomes integrated with the larger model (instead of separate from it) if the Trine (3) series further divides by 3 instead of by 2.
Jim Eshelman
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Astrological Structures: Aspects: Orbs
Summary
ASPECT ORBS begin nowhere and build to a peak strength when exact. Planet pairs move rhythmically in and out of aspect, rising from no connection to maximum connection, then down the other side of the slope. This variability in strength is best measured with a sine wave, which matches the strength thresholds we observe in practice. Consider aspect strength as reflecting the probability an aspect will decisively manifest. Aspect orbs are functionally different in different contexts. Tactics are discussed below for ranking aspect importance, with descriptions of thresholds in their variable strength.
Elaboration
ASPECT ORBS begin nowhere exactly, and build to a peak strength at the point they are exact. Planet pairs move rhythmically in and out of aspect - the measurement of their interaction we call their aspectivity - rising from no connection through increased connection to maximum connection, then down the other side of the slope.
I see this variability in aspect strength as measurable with a sine wave. Bradley thought this also, early in his life, then switched his thinking to a different kind of wave near the end. I stick with the sine wave shape because (as I will document below) it shows the same strength thresholds that we have long observed in practice.
If aspects occurred every 30°, the curve would be obvious: 100% aspect strength when exact, 0% strength at 15° away. (It can't be any further, because then you would overlap a different aspect.) This does seem to be approximately the curve for the major aspects, with a tweak or two along the way.
I take aspect strength to reflect the probability an aspect will decisively manifest. Thus, in going form 0% to 100% strength, a score of 50 means that there is a 50% chance of a manifestation. Closer than this threshold makes it more likely than not of a result. (A score of 90 means a 90% chance it shows; a score of 99% means a virtual certainty; etc.)
Aspect orbs are functionally different in different contexts. The widest orbs are in natal charts. I think this is simply a matter of one's whole lifetime being a broader framework for subtleties to develop and emerge and for quieter trends to become obvious. These variations will be discussed in later sections below. Functionally, this present discussion refers to a natal chart, and then will narrow from there.
I recommend Donald Bradley's tactic of listing aspects in three groups according to orb. He recommended 0-3°, 3-6°, and 6-9°. I have tweaked these a little, and have called these Class 1, Class 2, and Class 3 aspects, respectively. We can also call them (respectively) "close," "moderate" (or no adjective), and "wide." (One could also tabulate Class 4 and Class 5, but it seems pointless since, most of the time, we don't even read Class 3.)
One substantiation of this breakdown, other than convenience, is that statistical studies of aspects keep showing optimum results with orbs in the 3-4° range. This, of course, is a collective (aggregate) effect, not a final orb for individuals' horoscopes; but it does mark a significant threshold.
For sextiles, squares, and trines, I retain the plus-minus 15° curve. For conjunctions and oppositions, the larger gap between them and the next main aspect, plus observation of them in practice, led me to widen the base to a plus-minus 20° curve. After doing this, practice suggested I narrow the trine and sextile orbs slightly. These are all micro-judgement calls, and you might want to assess them differently. In fact, until you develop your own experience base, I suggest you start with Bradley's original cut-off recommendations of 3°, 6°, and 9°.
For the record, here are my practical thresholds for Class 1, Class 2, and Class 3 aspect groupings:
Conjunction & opposition 3°, 7°, 10°
Square 3°, 6°, 7.5°
Sextile & Trine 3°, 5°, 7.5°
Other aspects surely have their own tight little strength curves, quite acute, though I haven't attempted to graph these. For octiles, I use 1° for Class 1, 2° for Class 2, and don't bother with a Class 3. For the quintile series, use 1/5 of the orbs above (or just do a 5th harmonic chart and apply the orbs for the major aspects listed above).
The 10° multiples that arise out of the Navamsa/Novien method have 1/9 the orbs of the major aspects in order to produce the same conjunction, opposition, or square in the 9th harmonic. One-ninth of a 7° orb is 0°47', one-ninth of 6° is 0°40'. Class 1 aspects in this series are within 0°20'.
In observing aspects, we can see certain thresholds. For example, partile aspects (those within 1°) have something magical about them. Another obvious threshold is about 3°, then about 6°, then the drop-off. (Extend these slightly for conjunctions and opposition to their Class-distinction thresholds.) These thresholds are well described by the behavior of the sine curve in measuring their strength.
An effect becomes more likely than not when it is 50% likely to manifest. Based on the sine wave scaled for sextiles, trines, and squares, a 50% threshold is at 7.5°, which is where I put my outermost practical orb for these aspects. An interesting 75% threshold (half the strength above the 50% baseline) falls at 5°00 (Fagan's preferred "one pentade" orb). Looking toward that magical 3° cutoff point, which easily marks Class 1 aspects (and is both the aggregate or statistically-visible threshold in every study known to me, and the aggregate or collective impact level usually seen as practical in mundane astrology), we find a score of 90%, i.e., 90% likely to manifest, at 3°09'.
A score rounding to 99% marks the partile threshold; or, to be exact, 0°58'. The lowest score to round to 100% (reaches 99.5%) is at 0°41'.
These entirely make sense in terms of what we actually see happening through astrology.
When we widen the base for conjunctions and oppositions, we get proportionately similar results that continue to make sense:
50% at 10°00' (the farthest I go in extremis for a conjunction or opposition)
75% at 6°40' (I use 7° to demarcate Class 2 for these aspects)
90% at 4°05' (I use 3° or 4° as my cut-off for Class 1 oppositions or conjunctions)
99% at 1°17' (essentially the partile spot)
100% at 0°54' (essentially partile also)
POSTSCRIPT (8/26/2022): A single equation that defines the five "major" (i.e., Ptolemaic) aspects is the following (customized for Excel, but with x for each degree of the circle): =COS(RADIANS(MOD(((COS(RADIANS(x)+1)/0.5), 1)*360))
Or more arithmetically: COS ((COS(x) + 1)/0.5) MOD 1) *360)
This defines the five aspects specifically. However, it doesn't define orbs in any practical fashion because the slopes off the conjunction and opposition are very wide and rounded. Nonetheless, it might point in a right direction.
ASPECT ORBS begin nowhere and build to a peak strength when exact. Planet pairs move rhythmically in and out of aspect, rising from no connection to maximum connection, then down the other side of the slope. This variability in strength is best measured with a sine wave, which matches the strength thresholds we observe in practice. Consider aspect strength as reflecting the probability an aspect will decisively manifest. Aspect orbs are functionally different in different contexts. Tactics are discussed below for ranking aspect importance, with descriptions of thresholds in their variable strength.
Elaboration
ASPECT ORBS begin nowhere exactly, and build to a peak strength at the point they are exact. Planet pairs move rhythmically in and out of aspect - the measurement of their interaction we call their aspectivity - rising from no connection through increased connection to maximum connection, then down the other side of the slope.
I see this variability in aspect strength as measurable with a sine wave. Bradley thought this also, early in his life, then switched his thinking to a different kind of wave near the end. I stick with the sine wave shape because (as I will document below) it shows the same strength thresholds that we have long observed in practice.
If aspects occurred every 30°, the curve would be obvious: 100% aspect strength when exact, 0% strength at 15° away. (It can't be any further, because then you would overlap a different aspect.) This does seem to be approximately the curve for the major aspects, with a tweak or two along the way.
I take aspect strength to reflect the probability an aspect will decisively manifest. Thus, in going form 0% to 100% strength, a score of 50 means that there is a 50% chance of a manifestation. Closer than this threshold makes it more likely than not of a result. (A score of 90 means a 90% chance it shows; a score of 99% means a virtual certainty; etc.)
Aspect orbs are functionally different in different contexts. The widest orbs are in natal charts. I think this is simply a matter of one's whole lifetime being a broader framework for subtleties to develop and emerge and for quieter trends to become obvious. These variations will be discussed in later sections below. Functionally, this present discussion refers to a natal chart, and then will narrow from there.
I recommend Donald Bradley's tactic of listing aspects in three groups according to orb. He recommended 0-3°, 3-6°, and 6-9°. I have tweaked these a little, and have called these Class 1, Class 2, and Class 3 aspects, respectively. We can also call them (respectively) "close," "moderate" (or no adjective), and "wide." (One could also tabulate Class 4 and Class 5, but it seems pointless since, most of the time, we don't even read Class 3.)
One substantiation of this breakdown, other than convenience, is that statistical studies of aspects keep showing optimum results with orbs in the 3-4° range. This, of course, is a collective (aggregate) effect, not a final orb for individuals' horoscopes; but it does mark a significant threshold.
For sextiles, squares, and trines, I retain the plus-minus 15° curve. For conjunctions and oppositions, the larger gap between them and the next main aspect, plus observation of them in practice, led me to widen the base to a plus-minus 20° curve. After doing this, practice suggested I narrow the trine and sextile orbs slightly. These are all micro-judgement calls, and you might want to assess them differently. In fact, until you develop your own experience base, I suggest you start with Bradley's original cut-off recommendations of 3°, 6°, and 9°.
For the record, here are my practical thresholds for Class 1, Class 2, and Class 3 aspect groupings:
Conjunction & opposition 3°, 7°, 10°
Square 3°, 6°, 7.5°
Sextile & Trine 3°, 5°, 7.5°
Other aspects surely have their own tight little strength curves, quite acute, though I haven't attempted to graph these. For octiles, I use 1° for Class 1, 2° for Class 2, and don't bother with a Class 3. For the quintile series, use 1/5 of the orbs above (or just do a 5th harmonic chart and apply the orbs for the major aspects listed above).
The 10° multiples that arise out of the Navamsa/Novien method have 1/9 the orbs of the major aspects in order to produce the same conjunction, opposition, or square in the 9th harmonic. One-ninth of a 7° orb is 0°47', one-ninth of 6° is 0°40'. Class 1 aspects in this series are within 0°20'.
In observing aspects, we can see certain thresholds. For example, partile aspects (those within 1°) have something magical about them. Another obvious threshold is about 3°, then about 6°, then the drop-off. (Extend these slightly for conjunctions and opposition to their Class-distinction thresholds.) These thresholds are well described by the behavior of the sine curve in measuring their strength.
An effect becomes more likely than not when it is 50% likely to manifest. Based on the sine wave scaled for sextiles, trines, and squares, a 50% threshold is at 7.5°, which is where I put my outermost practical orb for these aspects. An interesting 75% threshold (half the strength above the 50% baseline) falls at 5°00 (Fagan's preferred "one pentade" orb). Looking toward that magical 3° cutoff point, which easily marks Class 1 aspects (and is both the aggregate or statistically-visible threshold in every study known to me, and the aggregate or collective impact level usually seen as practical in mundane astrology), we find a score of 90%, i.e., 90% likely to manifest, at 3°09'.
A score rounding to 99% marks the partile threshold; or, to be exact, 0°58'. The lowest score to round to 100% (reaches 99.5%) is at 0°41'.
These entirely make sense in terms of what we actually see happening through astrology.
When we widen the base for conjunctions and oppositions, we get proportionately similar results that continue to make sense:
50% at 10°00' (the farthest I go in extremis for a conjunction or opposition)
75% at 6°40' (I use 7° to demarcate Class 2 for these aspects)
90% at 4°05' (I use 3° or 4° as my cut-off for Class 1 oppositions or conjunctions)
99% at 1°17' (essentially the partile spot)
100% at 0°54' (essentially partile also)
POSTSCRIPT (8/26/2022): A single equation that defines the five "major" (i.e., Ptolemaic) aspects is the following (customized for Excel, but with x for each degree of the circle): =COS(RADIANS(MOD(((COS(RADIANS(x)+1)/0.5), 1)*360))
Or more arithmetically: COS ((COS(x) + 1)/0.5) MOD 1) *360)
This defines the five aspects specifically. However, it doesn't define orbs in any practical fashion because the slopes off the conjunction and opposition are very wide and rounded. Nonetheless, it might point in a right direction.
Jim Eshelman
www.jeshelman.com
www.jeshelman.com
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Astrological Structures in a Natal Horoscope
THE PLANETS
In all areas of astrological practice, the same planets highlighted above seem operative.
THE CONSTELLATIONS
The zodiacal constellations are fully operative in natal horoscopes. Of all sign placements, those of Sun and Moon are clearly the most important, as well as any constellation that has (say) four or more planets. Behind these, the constellation of Mars is next in importance, as a fast planet substantially independent of Sun's position and associated with strongly egoic energies.
Other sign placements are technically valid, though of dramatically lesser importance. From Jupiter outward, the farther a planet is from Sun (the longer it spends in a given sign), the less its placement distinguishes the individual from other people in his or her formative community. Mercury and Venus placements are limited by Sun's placement and do seem to be meaningful for areas of life associated with the particular planet (Mercury or Venus), but do not form a part of the character core.
Planets on angles seem more likely to express themselves in terms of the constellation they occupy.
THE ANGLES
In all areas of astrological practice, the Angles (including minor angles) form the mundane framework of planetary expressiveness, as outlined above.
With regard to inexpressiveness, the complex two-curve model described above for nativities and return charts (expressiveness + repressiveness curves) applies. The point of least expressiveness in each quadrant is the cadent cusp.
THE ASPECTS: Reference Circles
Aspects are clearly operative zodiacally. This is the primary framework for identifying aspects.
Preliminary evidence suggests that mundane aspects (measured along the prime vertical) may be effective natally as well. This requires much more study to determine. I have more conviction that changes in mundane aspects are perceptible between birthplace and a new geographic location.
It seems clear that mundane aspects on or near the angles are valid. This may be an aspect effect, or it may be a variety of co-angularity. Other reference circles may also have value for measuring aspects, and have not yet been sufficiently researched.
THE ASPECTS: Specific Harmonics
The full range of aspects discussed above are effective within natal horoscopes, though some of the higher harmonics may not be relevant for all people.
In general, the Opposition Family to the third tier (Conjunction, Opposition, Square, Octile) and the Trine Family to the second tier (Trine, Sextile) are the important ones in a nativity. Others may be incorporated on their own terms as needed.
THE ASPECTS: Orbs
In natal charts all three classes of aspects are operative. As a point of practice, one usually would begin with Class 1 (plus Class 2 luminary aspects) and add layers only as needed. Generally, Class 1 aspects (plus Class 2 luminary aspects) help frame the primary energies of a chart, and Class 2 are quite operative and an important part of the character. Class 3 aspects may rarely be read, though they are valid at least as supplemental or nuance traits.
SUMMARY
For natal charts, we use pretty much everything. The most expansive rules of practice were created with natal charts in mind. Nativities have the fullest opportunity to develop fully, incorporating even subtle traits, and the most opportunity to experience these subtlties.
In all areas of astrological practice, the same planets highlighted above seem operative.
THE CONSTELLATIONS
The zodiacal constellations are fully operative in natal horoscopes. Of all sign placements, those of Sun and Moon are clearly the most important, as well as any constellation that has (say) four or more planets. Behind these, the constellation of Mars is next in importance, as a fast planet substantially independent of Sun's position and associated with strongly egoic energies.
Other sign placements are technically valid, though of dramatically lesser importance. From Jupiter outward, the farther a planet is from Sun (the longer it spends in a given sign), the less its placement distinguishes the individual from other people in his or her formative community. Mercury and Venus placements are limited by Sun's placement and do seem to be meaningful for areas of life associated with the particular planet (Mercury or Venus), but do not form a part of the character core.
Planets on angles seem more likely to express themselves in terms of the constellation they occupy.
THE ANGLES
In all areas of astrological practice, the Angles (including minor angles) form the mundane framework of planetary expressiveness, as outlined above.
With regard to inexpressiveness, the complex two-curve model described above for nativities and return charts (expressiveness + repressiveness curves) applies. The point of least expressiveness in each quadrant is the cadent cusp.
THE ASPECTS: Reference Circles
Aspects are clearly operative zodiacally. This is the primary framework for identifying aspects.
Preliminary evidence suggests that mundane aspects (measured along the prime vertical) may be effective natally as well. This requires much more study to determine. I have more conviction that changes in mundane aspects are perceptible between birthplace and a new geographic location.
It seems clear that mundane aspects on or near the angles are valid. This may be an aspect effect, or it may be a variety of co-angularity. Other reference circles may also have value for measuring aspects, and have not yet been sufficiently researched.
THE ASPECTS: Specific Harmonics
The full range of aspects discussed above are effective within natal horoscopes, though some of the higher harmonics may not be relevant for all people.
In general, the Opposition Family to the third tier (Conjunction, Opposition, Square, Octile) and the Trine Family to the second tier (Trine, Sextile) are the important ones in a nativity. Others may be incorporated on their own terms as needed.
THE ASPECTS: Orbs
In natal charts all three classes of aspects are operative. As a point of practice, one usually would begin with Class 1 (plus Class 2 luminary aspects) and add layers only as needed. Generally, Class 1 aspects (plus Class 2 luminary aspects) help frame the primary energies of a chart, and Class 2 are quite operative and an important part of the character. Class 3 aspects may rarely be read, though they are valid at least as supplemental or nuance traits.
SUMMARY
For natal charts, we use pretty much everything. The most expansive rules of practice were created with natal charts in mind. Nativities have the fullest opportunity to develop fully, incorporating even subtle traits, and the most opportunity to experience these subtlties.
Jim Eshelman
www.jeshelman.com
www.jeshelman.com
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Astrological Structures in Transits & Progressions
THE PLANETS
In all areas of astrological practice, the same planets highlighted above seem operative.
THE CONSTELLATIONS
Zodiacal constellations seem to have, at most, a minor role in Secondary Progressions. Usually, it is possible to see a shift in life themes during the two-to-three years progressed Moon is in a given constellation. Shifts of other planets into a new sign may be evident when they happen, or may be identifiable as broadly long-term trends when viewed across the course of their duration.
On the other hand, it is quite specifically not evident that the signs of progressed planets act as if they were replacement or overlay signs with respect to the natal chart. (If this would otherwise, Siderealists would likely all think they really did fit their Tropical Sun-sign better - since that the Sidereal placement their progressed Sun would be throughout three very important decades of their life.)
Transiting planets' sign placements come under the heading of Mundane Astrology. See below for this.
THE ANGLES
In all areas of astrological practice, the Angles (including minor angles) form the mundane framework of planetary expressiveness, as outlined above.
THE ASPECTS: Reference Circles
Transiting and progressed aspects are clearly operative zodiacally. This is the primary framework for identifying them.
Aspects from transits or progressions in other frameworks are more questionable. There is interest in (but little research regarding) paran transits. Transiting and progressed aspects in other frameworks than ecliptical have barely been explored.
THE ASPECTS: Specific Harmonics
Progressions employ the full range of aspects discussed above. Even more subtle ones might be considered because of the slowness of progressed planet movement so that the presence of progressed aspects are rarer, e.g., including Trine Family third tier (semi-sextile, quincunx) and Opposition Family fourth tier (22.5° series). Nonetheless, the conjunctions, oppositions, and squares will stand out dramatically from the rest.
Progressions include the Trine Family because they are not just about events. Progressions refer to incidents in the life, those passages that represent unfolding of intrinsic patterns inherent in the original patterning, whereas transits represent accidents, or active intersections with the environment.
Transits employ only the Opposition Family (down to third tier: Conjunction, Opposition, Square, Octile). This bias is because these are the aspects that actualize action and movement ("events," lit. out-comes). Trines and sextiles may operate in purely psychological ("no action, no event") ways, but this is usually so subtle as to question its usability. The one study where trine and sextile transiting aspects shined was a study of suicides, a condition marked by psychological sense of conviction there will be no change; and this may give some further insight on how to occasionally apply Trine Family aspects for transits.
THE ASPECTS: Orbs
Transits and progressions rely on partile orbs (1° or less). With progressions, the drop-off is quite acute outside this orb.
For transits, there is sometimes a softer start-stop for two reasons: (1) If a transiting aspect occurs in the foreground of a solar or lunar return, it has a much more generous orb, at least to 3° and commonly to 5°. (2) Due to retrogradation, an effect has been observed (especially with slow, outer planets) where the entire effect of a transit is in force from the first time it enters a 1° orb until the final time it exits this. However, within that longer time, the acute periods will be when it is partile and, especially, when it is exact.
SUMMARY
Transits and progressions rely primarily on partile aspects, especially dynamic aspects. The other factors somewhat support them, but understanding their aspects are the main points.
In all areas of astrological practice, the same planets highlighted above seem operative.
THE CONSTELLATIONS
Zodiacal constellations seem to have, at most, a minor role in Secondary Progressions. Usually, it is possible to see a shift in life themes during the two-to-three years progressed Moon is in a given constellation. Shifts of other planets into a new sign may be evident when they happen, or may be identifiable as broadly long-term trends when viewed across the course of their duration.
On the other hand, it is quite specifically not evident that the signs of progressed planets act as if they were replacement or overlay signs with respect to the natal chart. (If this would otherwise, Siderealists would likely all think they really did fit their Tropical Sun-sign better - since that the Sidereal placement their progressed Sun would be throughout three very important decades of their life.)
Transiting planets' sign placements come under the heading of Mundane Astrology. See below for this.
THE ANGLES
In all areas of astrological practice, the Angles (including minor angles) form the mundane framework of planetary expressiveness, as outlined above.
THE ASPECTS: Reference Circles
Transiting and progressed aspects are clearly operative zodiacally. This is the primary framework for identifying them.
Aspects from transits or progressions in other frameworks are more questionable. There is interest in (but little research regarding) paran transits. Transiting and progressed aspects in other frameworks than ecliptical have barely been explored.
THE ASPECTS: Specific Harmonics
Progressions employ the full range of aspects discussed above. Even more subtle ones might be considered because of the slowness of progressed planet movement so that the presence of progressed aspects are rarer, e.g., including Trine Family third tier (semi-sextile, quincunx) and Opposition Family fourth tier (22.5° series). Nonetheless, the conjunctions, oppositions, and squares will stand out dramatically from the rest.
Progressions include the Trine Family because they are not just about events. Progressions refer to incidents in the life, those passages that represent unfolding of intrinsic patterns inherent in the original patterning, whereas transits represent accidents, or active intersections with the environment.
Transits employ only the Opposition Family (down to third tier: Conjunction, Opposition, Square, Octile). This bias is because these are the aspects that actualize action and movement ("events," lit. out-comes). Trines and sextiles may operate in purely psychological ("no action, no event") ways, but this is usually so subtle as to question its usability. The one study where trine and sextile transiting aspects shined was a study of suicides, a condition marked by psychological sense of conviction there will be no change; and this may give some further insight on how to occasionally apply Trine Family aspects for transits.
THE ASPECTS: Orbs
Transits and progressions rely on partile orbs (1° or less). With progressions, the drop-off is quite acute outside this orb.
For transits, there is sometimes a softer start-stop for two reasons: (1) If a transiting aspect occurs in the foreground of a solar or lunar return, it has a much more generous orb, at least to 3° and commonly to 5°. (2) Due to retrogradation, an effect has been observed (especially with slow, outer planets) where the entire effect of a transit is in force from the first time it enters a 1° orb until the final time it exits this. However, within that longer time, the acute periods will be when it is partile and, especially, when it is exact.
SUMMARY
Transits and progressions rely primarily on partile aspects, especially dynamic aspects. The other factors somewhat support them, but understanding their aspects are the main points.
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Astrological Structures in Solunar Returns
THE PLANETS
In all areas of astrological practice, the same planets highlighted above seem operative.
THE CONSTELLATIONS
Sign placements are probably irrelevant in solar and lunar returns. Occasionally a position may seem relevant - an extra theme may light up or be clarified by understanding a sign context. Generally, though, this is not the case.
For example, I've seen no evidence that Moon's sign in a Sidereal Solar Return is in some fashion a new Moon-sign for the year, or a substantial setting of new themes. Even in years when an afflicted SSR Moon is indicative of health problems, Moon's sign does not seem to particularize those health issues the way that natal or progressed Moon would do.
THE ANGLES
In all areas of astrological practice, the Angles (including minor angles) form the mundane framework of planetary expressiveness, as outlined above.
With regard to inexpressiveness, the complex two-curve model described above for nativities and return charts (expressiveness + repressiveness curves) applies. The point of least expressiveness in each quadrant is the cadent cusp.
THE ASPECTS: Reference Circles
Aspects in solar and lunar returns are clearly operative zodiacally. It seems certain that mundane (prime vertical) aspects are also valid, at least for the interaction of foreground planets. (This includes foreground natal planets which, however, must have precession deleted before their prime vertical / mundoscope positions are calculated.)
My current standard practice is to consider zodiacal and mundane aspects indifferently in solar and lunar returns (now that we have the right tools to do the correct calculations). If two planets are in aspect both ways, then their orb is the smaller orb of the two.
THE ASPECTS: Specific Harmonics
Sidereal solar returns, using the "Read Twice" technique, act just like new natal charts on the first read. For this first pass, aspects work exactly as they do in a natal chart.
For lunar returns, plus solar returns on the second read, only Opposition Series aspects are used(Conjunction, Opposition, and Squares; and, in a more retrained way, Octiles). The available aspects often is limited because focus is on foreground planets, and e.g. octiles rarely exist between these.
THE ASPECTS: Orbs
Solunar returns use no more than Class 2 orbs, with particular emphasis on Class 1.
A rule-of-thumb of about a 5° maximum has often been suggested. If one relies primarily on Class 1 aspects, and occasionally stretches to fill in, one will usually stop including new information before 5°.
SUMMARY
Solar and lunar returns are primarily "angles and aspects" charts - the heaviest reliance is on angles to determine operative factors, and conjunctions, oppositions, and squares within the return chart and between its planets and the natal planets.
Solar returns have some flexibility beyond this in a "first read" scenario, where they are seen like new natals. Having a full year to develop seems to give them extra latitude for subtleties.
In all areas of astrological practice, the same planets highlighted above seem operative.
THE CONSTELLATIONS
Sign placements are probably irrelevant in solar and lunar returns. Occasionally a position may seem relevant - an extra theme may light up or be clarified by understanding a sign context. Generally, though, this is not the case.
For example, I've seen no evidence that Moon's sign in a Sidereal Solar Return is in some fashion a new Moon-sign for the year, or a substantial setting of new themes. Even in years when an afflicted SSR Moon is indicative of health problems, Moon's sign does not seem to particularize those health issues the way that natal or progressed Moon would do.
THE ANGLES
In all areas of astrological practice, the Angles (including minor angles) form the mundane framework of planetary expressiveness, as outlined above.
With regard to inexpressiveness, the complex two-curve model described above for nativities and return charts (expressiveness + repressiveness curves) applies. The point of least expressiveness in each quadrant is the cadent cusp.
THE ASPECTS: Reference Circles
Aspects in solar and lunar returns are clearly operative zodiacally. It seems certain that mundane (prime vertical) aspects are also valid, at least for the interaction of foreground planets. (This includes foreground natal planets which, however, must have precession deleted before their prime vertical / mundoscope positions are calculated.)
My current standard practice is to consider zodiacal and mundane aspects indifferently in solar and lunar returns (now that we have the right tools to do the correct calculations). If two planets are in aspect both ways, then their orb is the smaller orb of the two.
THE ASPECTS: Specific Harmonics
Sidereal solar returns, using the "Read Twice" technique, act just like new natal charts on the first read. For this first pass, aspects work exactly as they do in a natal chart.
For lunar returns, plus solar returns on the second read, only Opposition Series aspects are used(Conjunction, Opposition, and Squares; and, in a more retrained way, Octiles). The available aspects often is limited because focus is on foreground planets, and e.g. octiles rarely exist between these.
THE ASPECTS: Orbs
Solunar returns use no more than Class 2 orbs, with particular emphasis on Class 1.
A rule-of-thumb of about a 5° maximum has often been suggested. If one relies primarily on Class 1 aspects, and occasionally stretches to fill in, one will usually stop including new information before 5°.
SUMMARY
Solar and lunar returns are primarily "angles and aspects" charts - the heaviest reliance is on angles to determine operative factors, and conjunctions, oppositions, and squares within the return chart and between its planets and the natal planets.
Solar returns have some flexibility beyond this in a "first read" scenario, where they are seen like new natals. Having a full year to develop seems to give them extra latitude for subtleties.
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Astrological Structures in Mundane Astrology
THE PLANETS
In all areas of astrological practice, the same planets highlighted above seem operative.
THE CONSTELLATIONS
The zodiacal constellations are fully operative in mundane astrology. Of all sign placements, those of the outermost planets are clearly the most important, defining years-long trends. This is especially true of Pluto, Neptune, and Uranus. Saturn and Jupiter often give the most distinctive stamp to a given year.
Mars' passages are often harder to see unless Mars is retrograde and, thus, spends many months in one constellation.
Sign placements are probably irrelevant in solar and lunar ingresses (other than to determine the time of the ingress). Occasionally, a placement will seem relevant, though this might be selective perception. It particularly does not seem true that (for example) the Capsolar's Moon-sign is a distinctive characterization of the year for which the Capsolar is the Master Chart.
THE ANGLES
In all areas of astrological practice, the Angles (including minor angles) form the mundane framework of planetary expressiveness, as outlined above.
With regard to inexpressiveness, the simple one-curve model described above for mundane charts applies. The point of least expressiveness in each quadrant is the exact center of the quadrant.
THE ASPECTS: Reference Circles
Aspects in solar and lunar returns are clearly operative zodiacally and mundanely (prime vertical), with no preference of one over the other.
THE ASPECTS: Specific Harmonics
For sidereal solar and lunar ingresses, use only Opposition Family aspects to Tier 2 (Conjunction, Opposition, Square).
For mutual aspects of transiting planets, all the aspects work (at least in the Opposition & Trine Families) that work in a natal chart, though emphasis on conjunctions, oppositions, and squares is foremost, and on trines or sextiles that supplement concurrent dynamic aspects.
THE ASPECTS: Orbs
In solar and lunar ingresses, use only Class 1 orbs.
For aspects in space (transit-to-transit aspects), this is more relaxed - a psychological effect can often be seen coming and going within roughly Class 1 orbs - but concentrated and visible manifestations are generally when the aspects are in partile orb.
SUMMARY
Solar and lunar ingresses, and the quotidians of solar ingresses, are "angles and aspects" charts, relying is on angles to determine operative factors, and conjunctions, oppositions, and squares to show the action. All of the interpretive guides for these charts are crafted to focus on factors that distinguish a specific locale from others.
Outside of the ingress model, slow planet sign placements and aspects show longer and more trends, not attached to a particular location.
In all areas of astrological practice, the same planets highlighted above seem operative.
THE CONSTELLATIONS
The zodiacal constellations are fully operative in mundane astrology. Of all sign placements, those of the outermost planets are clearly the most important, defining years-long trends. This is especially true of Pluto, Neptune, and Uranus. Saturn and Jupiter often give the most distinctive stamp to a given year.
Mars' passages are often harder to see unless Mars is retrograde and, thus, spends many months in one constellation.
Sign placements are probably irrelevant in solar and lunar ingresses (other than to determine the time of the ingress). Occasionally, a placement will seem relevant, though this might be selective perception. It particularly does not seem true that (for example) the Capsolar's Moon-sign is a distinctive characterization of the year for which the Capsolar is the Master Chart.
THE ANGLES
In all areas of astrological practice, the Angles (including minor angles) form the mundane framework of planetary expressiveness, as outlined above.
With regard to inexpressiveness, the simple one-curve model described above for mundane charts applies. The point of least expressiveness in each quadrant is the exact center of the quadrant.
THE ASPECTS: Reference Circles
Aspects in solar and lunar returns are clearly operative zodiacally and mundanely (prime vertical), with no preference of one over the other.
THE ASPECTS: Specific Harmonics
For sidereal solar and lunar ingresses, use only Opposition Family aspects to Tier 2 (Conjunction, Opposition, Square).
For mutual aspects of transiting planets, all the aspects work (at least in the Opposition & Trine Families) that work in a natal chart, though emphasis on conjunctions, oppositions, and squares is foremost, and on trines or sextiles that supplement concurrent dynamic aspects.
THE ASPECTS: Orbs
In solar and lunar ingresses, use only Class 1 orbs.
For aspects in space (transit-to-transit aspects), this is more relaxed - a psychological effect can often be seen coming and going within roughly Class 1 orbs - but concentrated and visible manifestations are generally when the aspects are in partile orb.
SUMMARY
Solar and lunar ingresses, and the quotidians of solar ingresses, are "angles and aspects" charts, relying is on angles to determine operative factors, and conjunctions, oppositions, and squares to show the action. All of the interpretive guides for these charts are crafted to focus on factors that distinguish a specific locale from others.
Outside of the ingress model, slow planet sign placements and aspects show longer and more trends, not attached to a particular location.
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Astrological Structures for Beginners
We don't have to use every tool in the toolbox from the start. Sidereal astrology has the benefit that beginners can get strikingly accurate results very fast because we have a clear sense of priority, i.e., of which factors warrant the most attention. This allows us to teach what I've sometimes called the White Lie model of astrology: We slightly fib about what's so, in order to get the beginner to work in a particular, narrow way with confidence.
I have posted the full story - what I believe to be the complete truth about astrology - in the posts above. This post will give a compressed version through which I will drizzle white lies. I strongly encourage all beginners to start with this approach to natal chart analysis (which is roughly what I put in The New Instant Astrologer in 1977).
THE PLANETS
Astrology's primary motive forces are embodied in the PLANETS. In psychological language, these are especially expressions of fundamental needs and other primitive energies. The planets comprises Sun, Moon, and the eight planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus, Neptune and Pluto.
THE CONSTELLATIONS
Placement of Sun and Moon in the constellations are astrologically meaningful. The rest are not presently worth your bother. Focus on Sun-sign and Moon-sign.
THE ANGLES
The primary framework for determining planetary expressiveness are the ANGLES; specifically, proximity of each planet to the horizon or meridian.
It is better if you can measure this mundanely. If you can't do it yourself, feel free to ask us for mundoscope positions that show how close the planets really are to the angles. Concentrate on which planets are closest to the horizon and meridian, particularly within about 7°; don't go past 10°, and give more emphasis to whichever planets are closest.
Of similar importance are planets square Ascendant and Midheaven within 2°. Also, if you can, add the Eastpoint to the chart - you shouldn't be without it - and take planets within 2° of the Eastpoint or its opposite point.
ANGULAR VARIABILITY
Planets away from the angles are less expressive - seem less strong, possibly more blocked - especially if they are close to the cadent cusps or in the middle of the quadrant.
THE ASPECTS: Reference Circles
Aspects are measured along the ecliptic (the zodiac). There are also implied aspects (parans) whenever two planets are on angles at the same time, especially if they're about the same distance on the same side of the angles.
THE ASPECTS: Specific Harmonics
The meaning of an aspect is discovered in the meanings of the planets forming it. Of the five valid aspects, the conjunction, opposition, and square are strongest, having a particularly dynamic energy. Trines and sextiles appear weaker, and are more supportive, less energetic. You can especially regard them as adjectives and adverbs to any conjunctions, oppositions, or squares they touch.
THE ASPECTS: Orbs
Several factors determine aspect strength (or kinds of strength). If Sun or Moon is involved, the aspect is more descriptive of your basic nature. Conjunctions, oppositions, and squares are more dynamic than trines and sextiles.
Within this, the primary way to determine which aspects have the most energy of their own is in how small their orbs are. Aspects are at their maximum strength when exact, and then weaken as they are farther from being exact (on both sides, coming and going: larger orbs).
Closer is stronger. Wider is weaker. Look at conjunctions and oppositions within 7°, and prefer them within 3°. Look at squares within 6°, and prefer them within 3°. Look at trines and sextiles within 3°. Don't worry about any aspect unless Sun, Moon, Mercury, Venus, or Mars is one of the planets.
I have posted the full story - what I believe to be the complete truth about astrology - in the posts above. This post will give a compressed version through which I will drizzle white lies. I strongly encourage all beginners to start with this approach to natal chart analysis (which is roughly what I put in The New Instant Astrologer in 1977).
THE PLANETS
Astrology's primary motive forces are embodied in the PLANETS. In psychological language, these are especially expressions of fundamental needs and other primitive energies. The planets comprises Sun, Moon, and the eight planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus, Neptune and Pluto.
THE CONSTELLATIONS
Placement of Sun and Moon in the constellations are astrologically meaningful. The rest are not presently worth your bother. Focus on Sun-sign and Moon-sign.
THE ANGLES
The primary framework for determining planetary expressiveness are the ANGLES; specifically, proximity of each planet to the horizon or meridian.
It is better if you can measure this mundanely. If you can't do it yourself, feel free to ask us for mundoscope positions that show how close the planets really are to the angles. Concentrate on which planets are closest to the horizon and meridian, particularly within about 7°; don't go past 10°, and give more emphasis to whichever planets are closest.
Of similar importance are planets square Ascendant and Midheaven within 2°. Also, if you can, add the Eastpoint to the chart - you shouldn't be without it - and take planets within 2° of the Eastpoint or its opposite point.
ANGULAR VARIABILITY
Planets away from the angles are less expressive - seem less strong, possibly more blocked - especially if they are close to the cadent cusps or in the middle of the quadrant.
THE ASPECTS: Reference Circles
Aspects are measured along the ecliptic (the zodiac). There are also implied aspects (parans) whenever two planets are on angles at the same time, especially if they're about the same distance on the same side of the angles.
THE ASPECTS: Specific Harmonics
The meaning of an aspect is discovered in the meanings of the planets forming it. Of the five valid aspects, the conjunction, opposition, and square are strongest, having a particularly dynamic energy. Trines and sextiles appear weaker, and are more supportive, less energetic. You can especially regard them as adjectives and adverbs to any conjunctions, oppositions, or squares they touch.
THE ASPECTS: Orbs
Several factors determine aspect strength (or kinds of strength). If Sun or Moon is involved, the aspect is more descriptive of your basic nature. Conjunctions, oppositions, and squares are more dynamic than trines and sextiles.
Within this, the primary way to determine which aspects have the most energy of their own is in how small their orbs are. Aspects are at their maximum strength when exact, and then weaken as they are farther from being exact (on both sides, coming and going: larger orbs).
Closer is stronger. Wider is weaker. Look at conjunctions and oppositions within 7°, and prefer them within 3°. Look at squares within 6°, and prefer them within 3°. Look at trines and sextiles within 3°. Don't worry about any aspect unless Sun, Moon, Mercury, Venus, or Mars is one of the planets.
Jim Eshelman
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Re: Astrological Structures
I have written (crudely, I fear) the first post on this thread. You can now see what this is all about.
I've also now started working on some of the individual entries.
I've also now started working on some of the individual entries.
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Re: Astrological Structures
This is exciting.Jim Eshelman wrote: Wed Dec 27, 2017 8:19 pm I have written (crudely, I fear) the first post on this thread. You can now see what this is all about.
Astrological grammar. If you know the grammar of a language, you have the structure and can translate it without needing to know the meaning of the nouns or verbs. You can look those up in a dictionary.
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Re: Astrological Structures
If this is crude, I fear having my mind blown by something Jim would consider elegant! The series is off to a great start.Jim Eshelman wrote: Wed Dec 27, 2017 8:19 pm I have written (crudely, I fear) the first post on this thread. You can now see what this is all about.
I've also now started working on some of the individual entries.
Time matters
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Re: Astrological Structures
Done. At least for this pass. It will evolve over time (if in no other sense than sane rewrite).
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Re: Astrological Structures
Jim this is by far the best summary I've read--and I've done a lot of reading in over forty years. When its's fully written please pin it to make it easy for noobs to find.
I have a very mild disagreement with you about the significance of Mercury and Venus constellations in natal astrology, especially if in a different constellation than the Sun. Though I would rank them behind the luminaries and Mars constellations, I still find them quite useful. My own chart is an example: my Moon-Mercury conjunction across the Aries-Pisces boundary. Now were Mercury also in Aries, the way my mind works and my consequent way I express myself would be palpably different.
I have a very mild disagreement with you about the significance of Mercury and Venus constellations in natal astrology, especially if in a different constellation than the Sun. Though I would rank them behind the luminaries and Mars constellations, I still find them quite useful. My own chart is an example: my Moon-Mercury conjunction across the Aries-Pisces boundary. Now were Mercury also in Aries, the way my mind works and my consequent way I express myself would be palpably different.
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Re: Astrological Structures
Yes, the way your mind works and how you express yourself... These are exactly the things that would be different. But that's not central to your character. They are your accessories.
That's what I meant to convey.
That's what I meant to convey.
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Re: Astrological Structures
On this I can fully agree.Jim Eshelman wrote: Sat Dec 30, 2017 8:22 pm Yes, the way your mind works and how you express yourself... These are exactly the things that would be different. But that's not central to your character. They are your accessories.
That's what I meant to convey.
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Re: Astrological Structures
I hope when this takes final form it will include a mention the Sidereal Constellations are not the same as the astronomical constellations, and shouldn't be confused with them.
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Re: Astrological Structures
OK. I added a note. (It's hard to include every caveat in every post that touches on a subject, so this is probably a good reminder.)Jupiter Sets at Dawn wrote: Sat Dec 30, 2017 11:19 pm I hope when this takes final form it will include a mention the Sidereal Constellations are not the same as the astronomical constellations, and shouldn't be confused with them.
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Re: Astrological Structures
I have added SUMMARY sections with each structure discussion. While I encourage reading the entire treatment of each structure, the summaries bottom line what is being said.
Jim Eshelman
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