53edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''53EDT''' is the [[Edt|equal division of the third harmonic]] into 53 parts of 35.8859 [[cent|cents]] each, corresponding to 33.4393 [[edo]]. It has a generally sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, and 17 are all sharp. It tempers out 413343/390625 and 823543/820125 in the 7-limit; 891/875, 3087/3025, and 164025/161051 in the 11-limit; 637/625, 729/715, 847/845, and 1575/1573 in the 13-limit; 189/187, 429/425, 459/455, and 833/825 in the 17-limit; 171/169, 247/245, 361/357, and 855/847 in the 19-limit (no-twos subgroup). | '''53EDT''' is the [[Edt|equal division of the third harmonic]] into 53 parts of 35.8859 [[cent|cents]] each, corresponding to 33.4393 [[edo]]. It has a generally sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, and 17 are all sharp. It tempers out 413343/390625 and 823543/820125 in the 7-limit; 891/875, 3087/3025, and 164025/161051 in the 11-limit; 637/625, 729/715, 847/845, and 1575/1573 in the 13-limit; 189/187, 429/425, 459/455, and 833/825 in the 17-limit; 171/169, 247/245, 361/357, and 855/847 in the 19-limit (no-twos subgroup). | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 53 | |||
| num = 3 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 53 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
==Intervals== | ==Intervals== | ||