Until now, the model that has best described these "available aspects" to me is the one outlined here:

viewtopic.php?f=10&t=1772#p11308
In brief: Aspect

*families* are created from dividing the circle by prime numbers. Each family has its own unique "family traits,"

*e.g.,* the OPPOSITION Family (division by 2: hard aspects) express activity, force, energy, and change, while the TRINE Family (division by 3: soft aspects) are placid, quiet, still, a status quo or lack of visible change.

After dividing the circle by the prime number, successive

*tiers* of aspects are formed by successive halving of an aspect until the effect becomes slight enough to drop off. Thus, the OPPOSITION Family divides the circle by the prime number 2 to get 0° and 180°, halves it to get 90°, halves it to get 45° multiples, then drops off. The TRINE Family divides the circle by the prime number 3 to get 120°, halves it to get 60°, then from a mixture of dropping off and the increasing rigidity and "stuck-ness" of the 3 Family, hits rigid, unmoving effects in the 30° series that adds the 30° and 150°.

Then, as a third step, I separately note that all 10° multiples are valid as a consequences of Novien effects.

This model is pretty smooth, and yet has a couple of spots that seemed like I had to force things

*a little*. First, the excuse on why the 30° and 150° are so flat is consistent with the nature of the aspect family but did require an extra excuse. Second, the acknowledged 10° series is a tack-on that seems to fall outside the rest of the model, perhaps by the excuse that, "Well, these exist in the Novien, so I guess it's cool." But these are unnecessary soft edges.