source file: m1454.txt Date: Sun, 21 Jun 1998 17:12 +0100 (BST) Subject: Re: Prima Sound From: gbreed@cix.compulink.co.uk (Graham Breed) Benjamin Tubb wrote: >The Primatonic Scale (9 octaves x 5 notes = 45 audible notes) can be >represented by the following chart: >: A E I O U A >: |------|-------|-------|-------|-------| >: | | | | | | >:1.0 1.14 1.31 1.49 1.75 2.0 >Which by my calulations relate to the ratios: E (8/7), I (21/16), O (73/49? or >perhaps [pure speculation ] 7 * Log of [7 to the base 2] reduced by "1" >octave, i.e. to 1.49345) and U (7/4). All of which convert to, in cents, >respectively: E (231.174), I (470.781), O (694.379), and U (968.826). >And on page 77 says "Note that the vowel scale designation is arbitrary, was >made before the discoveries of Tomatis, and does not correspond with Tomatis >vowel/chakra alignments." My results are as follows: samples per 100 cycles| relative freq | pitch | my theory 2031 | | | 1781 | 1.140 | 0.190 | 0.193 1557 | 1.304 | 0.383 | 0.385 1345 | 1.510 | 0.595 | 0.596 1162 | 1.748 | 0.806 | 0.807 1013 | 2.005 | 1.004 | 1.000 Pitches are given in octaves rather than cents so you can compare with 5-equal: 0.0, 0.2, 0.4, 0.6, 0.8, 1.0 The O given by Keyserling and Losey looks like (8/7)^3=512/343=1.493. This may be correct: there seem to be some fluctuations on the note I'm measuring here. Sometimes, 10 cycles can be as few as 134 samples but around 138 is more common. This is how I originally measured it, but it is flat even of 512/343, so I measured again and got this result that was either a fluke or miscounting. The given value of I is also consistent with (8/7)^2=64/49=1.306. If the scale is untempered, the interval O-U is 8 cents sharp of a 7/6. Graham Breed gbreed@cix.co.uk www.cix.co.uk/~gbreed/