source file: mills3.txt Subject: Limits of JI model? From: kami@InterLinx.qc.ca Gary Morrison asked : > How specifically does the term "symmetric mode" apply to this? (dim scale) 100%!! > I presume that a diminished scale is a special case of a symmetric mode, in > particular where the two-step repeating pattern spans a minor third? I haven't really studied symmetric modes (aka limited transposition???), but this is exact. My point was that these scales are "artificial" (read "ET", as opposed to "JI"). 4tET should not be interpreted as 1/1 19/16 tritone 5/3, but as valid chord by itself. When using a diminished chord or scale, all notes are of equal importance. The ambiguity is intended, and is it allows the composer to modulate. This, of course, can not be explained by JI theory. And what about supramajor third stacks? (Like in 88cet and 22tet, to name only two) I do not think that 9/7 is half of 5/3. One thing that I can accept is that 8/22 octave is half of 16/22 octave. I do use JI models, and find them very useful, but they can not justify all that I hear! Not that JI theory is incomplete, but maybe there exist some music that is "ET only". ********* I suppose that symetric modes are all seperated by the half-octave? This would mean that only even ET's can have true symetric modes. Another interesting mode is 0 1 4 5 8 9 12, but I have only seen heard of it once. I feel like calculating some "theoretical" charts about ET representation, chromatic vs diatonic semitones, etc. Actually, if you solve the equation 5c+7d for positive integer values of c and d, you get interesting results! Like 5, 7, 12, 15, 19, 22, 31, etc... This will be on my web site soon. -Kami $AdditionalHeaders: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C12564DB.00280BBB; Mon, 21 Jul 1997 09:17:24 +0200