Two step size property

It's weaker than Myhill's property, which says there are two intervals
for each interval class (excepting periods.) Does it have a name?

It's strong enough to cut way down on the number of proper scales.
Categorizing the 31-et 7-note strictly proper scales turned out to be
a huge mess, but if we enforce the two-step size property, suddenly it
isn't hard at all. I may try to do some further classifying with this
additional requirement in place.

Gene wrote...
>It's weaker than Myhill's property, which says there are two intervals
>for each interval class (excepting periods.) Does it have a name?
>
>It's strong enough to cut way down on the number of proper scales.
>Categorizing the 31-et 7-note strictly proper scales turned out to be
>a huge mess, but if we enforce the two-step size property, suddenly it
>isn't hard at all. I may try to do some further classifying with this
>additional requirement in place.

I'm not sure exactly what property you're referring to here, but my
observation is: there's nothing special about 2. That's why I
like Rothenberg's mean variety, which will give the melodic minor
as you call it a 2.something, and the octatonic scale a 1.something.

-Carl