Carlos Gamma: Difference between revisions

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It is very close to the [[EDF|equal division of the just perfect fifth]] into twenty parts of 35.0978 [[cent|cents]] each (20ED3/2), which has been oft-misquoted as actually being Wendy Carlos's gamma scale. Carlos's original gamma scale has the fifth just slightly sharp (about 0.2 cents) in order to evenly spread out the tuning error amongst a large set of JI intervals.
It is very close to the [[EDF|equal division of the just perfect fifth]] into twenty parts of 35.0978 [[cent|cents]] each (20ED3/2), which has been oft-misquoted as actually being Wendy Carlos's gamma scale. Carlos's original gamma scale has the fifth just slightly sharp (about 0.2 cents) in order to evenly spread out the tuning error amongst a large set of JI intervals.
Carlos Gamma divides the octave in <math>\frac{20^2 + 11^2 + 9^2}{20\log_2(3/2) + 11\log_2(5/4) + 9\log_2(6/5)}</math> ≃ 34.189454 equal steps and the fifth in 19.999549 equal steps of 35.098542 cents each.


== Theory ==
== Theory ==