--- In tuning-math@y..., jpehrson@r... wrote:

> But isn't it a bit strange that a generator that is 7 units of 72-
> tET should create FIVES... and that 5+2, the small interval = 7.
>
> I'm not entirely understanding why that is...
>
> ??

It's very simple.

72 divided by 7 is 10, with a remainder of 2.

So after 10 generators in the cycle, you're 2 units short of where
you started.

Another generator later, you're 7-2 = 5 units beyond where you
started, and 2 units short of the second note in the chain.

Similarly, you'll divide each of the 7-unit steps of the first cycle
into a large (5-unit) step and a small (2-unit) step as you go around
the second cycle.

When you've completed the second cycle, you've completed the
blackjack scale.

When you've completed the third cycle, you've completed the canasta
scale.

When you've completed the fourth cycle, you've completed the MIRACLE-
41 scale.