Joseph writes, >Could somebody please go over how this "noble ratio" bit would work > with 72?? Noble numbers are defined here: http://mathworld.wolfram.com/NobleNumber.html perhaps someone could work out a list of the "most important" noble numbers, and how the frequency ratios they represent are approximated in 72-equal . . . i'm too busy right now . . . ____________________________________________________________ To learn how to configure this list via e-mail (subscribe, unsubscribe, etc.), send a message to listar@xxxxxxxxxxxxx with the subject line "info tuning-math". Or visit the website: < http://www.freelists.org/list/tuning-math > .