34edt: Difference between revisions
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'''34EDT''' is the [[Edt|equal division of the third harmonic]] into 34 parts of 55.9399 [[cent|cents]] each, corresponding to 21.4516 [[edo]]. It is contorted in the no-twos 11-limit, tempering out 77/75, 245/243, and 1331/1323. Using the patent val, it tempers out 169/165 and 847/845 in the 13-limit (no-twos subgroup). With the patent 4, it tempers out 49/48, 81/80, and 16128/15625 in the 3.4.5.7 subgroup; 77/75, 176/175, 891/875, and 1331/1280 in the 3.4.5.7.11 subgroup; 65/64, 143/140, 169/165, 196/195, and 325/324 in the 3.4.5.7.11.13 subgroup. | {{Infobox ET}} | ||
'''34EDT''' is the [[Edt|equal division of the third harmonic]] into 34 parts of 55.9399 [[cent|cents]] each, corresponding to 21.4516 [[edo]]. It is [[contorted]] in the no-twos 11-limit, tempering out 77/75, 245/243, and 1331/1323. Using the patent val, it tempers out 169/165 and 847/845 in the 13-limit (no-twos subgroup). With the patent 4, it tempers out 49/48, 81/80, and 16128/15625 in the 3.4.5.7 subgroup; 77/75, 176/175, 891/875, and 1331/1280 in the 3.4.5.7.11 subgroup; 65/64, 143/140, 169/165, 196/195, and 325/324 in the 3.4.5.7.11.13 subgroup. | |||
Lookalikes: [[43ed4|43ED4]] | Lookalikes: [[43ed4|43ED4]] | ||
== Intervals == | |||
{{Interval table}} | |||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 34 | |||
| num = 3 | |||
| denom = 1 | |||
| intervals = integer | |||
}} | |||
{{Harmonics in equal | |||
| steps = 34 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = integer | |||
}} | |||
{{stub}} | |||