Carlos Beta: Difference between revisions

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'''Carlos Beta''' is a non-octave equal temperament with step size about 63.833 [[cent]]s<ref>Wendy Carlos, "Tuning: At the Crossroads", Computer Music Journal vol. 11 no. 1, 1987, pp. 29-43</ref>, or almost exactly every fifth step of [[94edo]]. It is very close to [[EDF|equal division of the just perfect fifth]] into eleven parts of 63.8141 cents each (11ED3/2), corresponding to 18.8046 [[edo]].
'''Carlos Beta''' is a non-octave equal temperament with step size about 63.833 [[cent]]s<ref>Wendy Carlos, "Tuning: At the Crossroads", Computer Music Journal vol. 11 no. 1, 1987, pp. 29-43</ref>, or almost exactly every fifth step of [[94edo]]. It is very close to [[EDF|equal division of the just perfect fifth]] into eleven parts of 63.8141 cents each (11ED3/2), corresponding to 18.8046 [[edo]].


Carlos Beta divides the octave in <nowiki><math>\frac{11^2 + 6^2 + 5^2}{11\log_2(3/2) + 6\log_2(5/4) + 5\log_2(6/5)}</math></nowiki> ≃ 18.799074 equal steps and the fifth in 10.996753 equal steps of 63.832933 cents each.
Carlos Beta divides the octave in <math>\frac{11^2 + 6^2 + 5^2}{11\log_2(3/2) + 6\log_2(5/4) + 5\log_2(6/5)}</math> ≃ 18.799074 equal steps and the fifth in 10.996753 equal steps of 63.832933 cents each.


== Theory ==
== Theory ==