>It seems more useful to me to know: For a given d-tET, and a given (prime

or >odd) limit for the ratios, what is the maximum error in the most

accurate >*consistent* set of mappings of n steps to ratios? My charts at

>http://dkeenan.com/Music/OpenTunings.htm answer this for many

>important cases.

Thanks, Dave Keenan, for your work on this thread. Dan's formula is very

interesting, and your charts are very handy. I had never noticed how

viable 37tET was a 7-limit...

You and Dan are both prime candidates for Scala. It will approximate any

scale with ratios, and you can restrict the ratios it returns by prime

limit and/or a number of other weighting schemes. Scala will also find ET

approximations to rational scales to an arbitrary degree of accuracy.

Carl