57ed12: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''57ED12''' is the [[ED12|equal division of the twelfth harmonic]] into 57 equal parts. It is similar to [[16edo]], but has the [[12/1]] tuned just instead of the octave. Octaves are stretched by 7.6{{c}} and the step size is 75.47{{c}}. It can be used as a tuning for [[Mavila]] and also approximates [[Pelog]] tunings in Indonesian gamelan music. | '''57ED12''' is the [[ED12|equal division of the twelfth harmonic]] into 57 equal parts. It is similar to [[16edo]], but has the [[12/1]] tuned just instead of the octave. Octaves are stretched by 7.6{{c}} and the step size is 75.47{{c}}. It can be used as a tuning for [[Mavila]] and also approximates [[Pelog]] tunings in Indonesian gamelan music. | ||
== Theory == | |||
This tuning tempers out 36/35 and 50/49 in the 7-limit; 33/32 and 45/44 in the 11-limit; 65/64, 66/65, and 78/77 in the 13-limit; 51/50 and 85/84 in the 17-limit; 39/38, 57/56, 77/76, and 96/95 in the 19-limit; 69/68 and 92/91 in the 23-limit; 58/57 and 87/85 in the 29-limit; 63/62, 93/92, and 93/91 in the 31-limit; and 75/74 in the 37-limit. | |||
== Intervals == | == Intervals == | ||