just tuning, equal tempramant, pythagorean, werkmeister, Warsaw, mean tone
i would devils advocate that you truly cannot JUST use mathematics to
make your plus or minus decisions for M- M_ M+
and that is because the speed of the "pulse"is determined by proportion...
if you tune everything strictly by Math, the speed of the pulses will vary
widely by note (and bear in mind the proportion between 438 and 440 is different
than the proportion between 440 and 442 because the FREQUENCIES are different)
wheras the objective is having the overall tuning share a pleasing spreadsheet of
related and intelligently varied waves
you would do this by FIRST tuning your M with incredible precision based
upon your preferred scheme, and THEN you would tune each companion
M+ note by listening to the beats and wielding your Diamond Coated Sandpaper
with minute touches until the result is both PLEASING to your brain as
well as making SENSE as it relates to the note you tuned previous to this one
then you would do the same thing with M and M-, note by note, by ear, and going for
a SLIGHTLY different speed of the pulse overall compared to what you did with M+
and THEN you put the accordion back together and hope m- m_ m+ sounding together is
simply amAZING
(this is in a perfect world, with unlimited time and patience at your disposal... children should
not attempt this without adult supervision)