mwisckol wrote to zorn: m> that's the problem that was addressed by equal temperment -- or "well m> tempered" as they described that famous klavier. A minor point (hey, let's be pedantic!): "well temperament" != "equal temperament". "Well-tempered" could be any number of tunings, but the intervals in any of them are *not* equal; that "famous" suite was written to demonstrate the *different* tonal qualities of the keys, not their identity. (For those of you who like Bela Tarr: "Werckmeister" is the name of *one* well-temperament, one with occasionally, um, unfortunate harmonies. (H.A. Kellner gives Werckmeister's pitches in cents as: 0.0 90.2 194.6 294.1 389.1 498.0 588.3 697.3 792.2 891.8 996.1 1091.1 1200.0 (in equal temperament those would all be multiples of 100.0).) -- Jim Flannery newgrange@talmanassociates.com When you can't give anything, you can also receive nothing. Through giving, you also receive. You can never stop giving. When you have nothing more to give, you're dead. -- Mustafa Tettey Addy np: nr: Claude Lévi-Strauss, _Tristes Tropiques_