Re: [tuning] non-octave consistency

Carl wrote:
> Does the graph of consistency values over tones/per-octave ever stop
> changing shape? The chart at...

> ftp://ella.mills.edu/ccm/tuning/papers/consist_limits.txt

> ...implies that it does, but I would guess that it does not, and that the
> chart really implies that .001 cent is enough resolution for the step size
> of equal temperaments, for practical purposes.

Good that you ask. I reran the program that created this chart on a faster
machine with a much finer sieve, and discovered that there are more transition
points than given in the file. So the implied suggestion that it's complete
is indeed wrong. There are transition points which are less than 0.00001 cents
apart. I shall post a new file some time. The difference is only of theoretical
interest.

Manuel Op de Coul coul@ezh.nl