9-limit

By the way, Gene, you never got back to me about 9-limit tunings.
For any 7-limit scale, can't we produce a 9-limit tuning simply
by using a multiplier of 3 on the 3:2 error before optimizing?

And when you give, for example, 11-limit Marvelous Class, are
you counting the 3:2 error once or thrice?

-Carl

--- In tuning-math@yahoogroups.com, Carl Lumma <ekin@l...> wrote:

> For any 7-limit scale, can't we produce a 9-limit tuning simply
> by using a multiplier of 3 on the 3:2 error before optimizing?

No. I don't know why you would use a multiplier of 3, and you'd
obviously be ignoring 9:5, 9:7, and 9:8. Unless you're assuming a
particular error function, but still don't think it could work.

>> For any 7-limit scale, can't we produce a 9-limit tuning simply
>> by using a multiplier of 3 on the 3:2 error before optimizing?
>
>No. I don't know why you would use a multiplier of 3, and you'd
>obviously be ignoring 9:5, 9:7, and 9:8. Unless you're assuming a
>particular error function, but still don't think it could work.

Sorry, you're right of course.

-C.