Carlos Alpha: Difference between revisions

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'''Carlos Alpha''' is a non-octave equal temperament with step size about 77.965 [[cent]]s<ref>Wendy Carlos, "Tuning: At the Crossroads", Computer Music Journal vol. 11 no. 1, 1987, pp. 29-43</ref>. It is very close to [[EDF|equal division of the just perfect fifth]] into nine parts of 77.995 cents each (9ED3/2), corresponding to 15.3856 [[edo]].
'''Carlos Alpha''' is a non-octave equal temperament with step size about 77.965 [[cent]]s<ref>Wendy Carlos, "Tuning: At the Crossroads", Computer Music Journal vol. 11 no. 1, 1987, pp. 29-43</ref>. It is very close to [[EDF|equal division of the just perfect fifth]] into nine parts of 77.995 cents each (9ED3/2), corresponding to 15.3856 [[edo]].
Carlos Alpha divides the octave in <math>\frac{9^2 + 5^2 + 4^2}{9\log_2(3/2) + 5\log_2(5/4) + 4\log_2(6/5)}</math> ≃ 15.391524 equal steps and the fifth in 9.003464 equal steps of 77.964990 cents each.


== Theory ==
== Theory ==