Nonoctave scales in your livingroom

If you don't want to go to the bother of obtaining a musical
instrument based on 3^(1/13), you might try the temperament with TM
basis {3125/3087, 6561/6125}. If you take pure tritaves, you get a
generator of 3^(1/19), or 100.103 cents. If you object that after
twelve generator steps you get to a pretty good octave of 1201.235
cents, my reply to you is that 41-et has octaves also. Just ignore it.
Pretend it isn't there, and see what happens.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> If you don't want to go to the bother of obtaining a musical
> instrument based on 3^(1/13), you might try the temperament with TM
> basis {3125/3087, 6561/6125}. If you take pure tritaves, you get a
> generator of 3^(1/19), or 100.103 cents. If you object that after
> twelve generator steps you get to a pretty good octave of 1201.235
> cents, my reply to you is that 41-et has octaves also. Just ignore
it.
> Pretend it isn't there, and see what happens.

exactly.