source file: mills2.txt Date: Tue, 9 Jul 1996 13:50:48 -0700 Subject: Max Meyer From: PAULE Two comments made here about Max Meyer should be addressed: There is indeed a tonality diamond on p. 22 of "The Musician's Arithmetic." It gives cents values for all 16 seven-limit intervals, transposed to within one octave. Of course, four of these intervals are 0 cents. So Partch most likely did get the idea from Meyer, but he rotated it 90 degrees counterclockwise. Someone said in effect that Meyer's system of using numbers rather that ratios limited him to a small subset of just scales. This is not the case. Meyer explicitly ignores powers of 2, and multiplies all ratios by whatever factor is necessary to leave only powers of two in the denominator. This is no different from Brian McLaren's representation of Wilson CPS scales, where Brian leaves only powers of 2 (which Meyer would ignore) in the denominators. Any just scale can be represented in this way. Meyer may have deceived himself in many matters, but his mathematics was sound. Received: from eartha.mills.edu [144.91.3.20] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Wed, 10 Jul 1996 00:03 +0100 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id PAA17716; Tue, 9 Jul 1996 15:03:20 -0700 Date: Tue, 9 Jul 1996 15:03:20 -0700 Message-Id: <199607092202.PAA17623@eartha.mills.edu> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu