Yeah, I like the discussion of 19-tet systems. I play a 19-tet guitar, which I like very much.... you can find a figure in this cartwright article: http://www.imedea.uib.es/physdept/publications/downfile.php?fid=2576
on page 9, which shows mean quadratic dispersion (from just intonation) of equal tempered scales as a function of the number of subdivisions. You can easily look at the function values for 5, 7, 12, 19, 31, 50 to see a decreasing series. I think that this decreasing series also holds for other fibbonacci sequences. By the way, I'm a big fan of cartwright. Just google for his articles on "dynamic system pitch cartwright," and I think you'll be pleasantly surprised.
Chuck
On 8/10/06, adam armfield adamairmailed@yahoo.com wrote:
http://www.bikexprt.com/tunings/fibonaci.htm
How the Fibonacci series relates to musical scales
all the best
adam
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