These scales also work well with the {225/224, 441/440} temperament, whose mean square optimal values are essentially those of the 72-et. I give a 72-et version of the first scale below (33 intervals 44 triads); the third and fourth are modes of the first and second, so the second is just a mode of the inversion of the first scale. Qm(3) is not knocked off its perch, but these are a nice suppliment. ! mecaa.scl ! [5, 11, 7, 7, 5, 7, 11, 5, 7, 7] {225/224, 441/440} tempering of decad, 72-et version 10 ! 83.33333333 266.6666667 383.3333333 500.0000000 583.3333333 700.0000000 883.3333333 966.6666667 1083.333333 2/1 ------------------------ Yahoo! Groups Sponsor ---------------------~--> Will You Find True Love? Will You Meet the One? Free Love Reading by phone! http://us.click.yahoo.com/7dY7FD/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 > .