On Thu, 18 Jul 2002 01:22:19 -0700 Carl Lumma <carl@xxxxxxxxx> writes: > How do we classify the Compton/Erlich scheme of tuning multiple > 12-et keyboards 15 cents apart? Some sort of planar temperament > with the following commas? > > 531441/524288 (pythagorean comma) > 5120/5103 (difference between syntonic comma and 64/63) > > Is this right? I think it's another system, discussed below. The wedgie you find from the pyth comma and 5120/5103 gives what we are calling a linear temperament. It is [0,12,12,-6,-19,19], and has a TM reduced basis <50/49, 3645/3584>. The mapping is [[12, 19, 28, 34], [0, 0, -1, -1]] However, the rms optimum is 23.4 cents apart, not 15. I think what you want is the linear temperament with wedgie [0,12,12,-6,-19,19], TM reduced basis <225/224, 250047/250000> and mapping [[12,19,28,34],[0,0,-1,-1]]. You can use the 72 or 84 ets for this. By the way, is 250047/250000 not deserving of a little recognition? ------------------------ Yahoo! Groups Sponsor ---------------------~--> Will You Find True Love? Will You Meet the One? Free Love Reading by phone! http://us.click.yahoo.com/ps3dMC/R_ZEAA/Ey.GAA/wHYolB/TM ---------------------------------------------------------------------~-> To unsubscribe from this group, send an email to: tuning-math-unsubscribe@xxxxxxxxxxxxxxx Your use of Yahoo! Groups is subject to http://docs.yahoo.com/info/terms/ ____________________________________________________________ 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: < //www.freelists.org/list/tuning-math > .