The 72-et version of miracle really only dominates in the 11-limit. If we look at the convergents to the rms optimal secor, we find that

175 is the next convergent beyond 72 for the 5 and 7 limits, and 113

(and beyond that 298) are the next convergents in the primary 13-limit version of miracle. For the alternative 13-limit miracle, 72 is not even a convergent! We have however 113 and beyond that, 267. It would seem 175 and 113 have a place at the table.

--- In tuning-math@y..., "Gene Ward Smith" <genewardsmith@j...> wrote:

> The 72-et version of miracle really only dominates in the 11-limit.

If we look at the convergents to the rms optimal secor, we find that

> 175 is the next convergent beyond 72 for the 5 and 7 limits, and 113

> (and beyond that 298) are the next convergents in the primary 13-

limit version of miracle. For the alternative 13-limit miracle, 72 is

not even a convergent! We have however 113 and beyond that, 267. It

would seem 175 and 113 have a place at the table.

if i recall correctly, graham's program originally spat out the

denominator 113 for the miracle generator.