source file: m1471.txt Date: Fri, 10 Jul 1998 12:29:56 -0700 Subject: Various From: Carl Lumma >>[Explain decatonic scales in Partchian terms?] > >Did you mean something like this? > >Let's start with the familiar diatonic (heptatonic) scale in JI. > >1. 1/1 >2. 10/9 or 9/8 >3. 5/4 >4. 4/3 >5. 3/2 >6. 5/3 >7. 15/8 >----- Yes, this is exactly what I meant. Most excellent, dude. >This appears in Brian McLaren's article: >---- > >Looking at the sources listed in the back of Brian's paper, several 1874 >Bosanquet articles are listed. It is probably: > >>"On the temperament, or the division of the octave." Philosophical >>Magazine, Fourth Series, Vol. 48, No. 321 (Supplement) July-December, >>1874, article No. 27, pp. 215-218. Rasch lists this paper in his paper, but he does not mention that it mentioned 22 in particular. Rather, he says it presents serveral theorems about equal temperaments in general, mostly stuff that plays with order, class, and number of tones to make comparisons with 12tET. I'm anxious to read the article... Carl