33edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''33EDT''' is the [[Edt|equal division of the third harmonic]] into 33 parts of 57.6350 [[cent|cents]] each, corresponding to 20.8207 [[edo]]. It has a distinct flat tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, 19, and 23 are all flat. It is consistent to the no-twos 23-limit, tempering out 3125/3087 and 588245/531441 in the 7-limit; 125/121, 3087/3025, and 3773/3645 in the 11-limit; 147/143, 175/169, 847/845, and 2197/2187 in the 13-limit; 119/117, 189/187, 225/221, and 1105/1089 in the 17-limit; 171/169, 175/171, 247/243, and 325/323 in the 19-limit; 209/207, 255/253, and 299/297 in the 23-limit (no-twos subgroup). | '''33EDT''' is the [[Edt|equal division of the third harmonic]] into 33 parts of 57.6350 [[cent|cents]] each, corresponding to 20.8207 [[edo]]. It has a distinct flat tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, 19, and 23 are all flat. It is consistent to the no-twos 23-limit, tempering out 3125/3087 and 588245/531441 in the 7-limit; 125/121, 3087/3025, and 3773/3645 in the 11-limit; 147/143, 175/169, 847/845, and 2197/2187 in the 13-limit; 119/117, 189/187, 225/221, and 1105/1089 in the 17-limit; 171/169, 175/171, 247/243, and 325/323 in the 19-limit; 209/207, 255/253, and 299/297 in the 23-limit (no-twos subgroup). | ||
== Intervals == | |||
{{Interval table}} | |||
== Harmonics == | == Harmonics == | ||
{{Harmonics in equal|33|3|1| | {{Harmonics in equal | ||
| steps = 33 | |||
| num = 3 | |||
| denom = 1 | |||
| intervals = integer | |||
}} | |||
{{Harmonics in equal | |||
| steps = 33 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = integer | |||
}} | |||
{{stub}} | |||