>I don't know if there's a way to reply directly to a message in the list >archive, There isn't -- you have to have the message somewhere. I thought web users could use web-based e-mail, but I hadn't considered this weakness. >i don't know who compton is, According to Code's article in the latest CMJ (on the Groven piano), John Haywood Compton was awarded a British patent in 1933 for an "enharmonic" organ which would automatically switch pitches on a standard keyboard with those on a virtual keyboard 15 cents lower. Harold Waage proposed much the same thing in 1988. In 1997 at Barbershop Harmony College, one of the 'profs' had a keyboard known as the "Just Intonation Trainer". I forget the maker, but it apparently dated from the 70's. It had two virtual keyboards; 15 cents lower and 30 cents lower. -Carl ____________________________________________________________ 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 > .