67edt: Difference between revisions
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'''67EDT''' is the [[Edt|equal division of the third harmonic]] into 67 parts of 28.3874 [[cent|cents]] each, corresponding to 42.2723 [[edo]]. It is related to the regular temperament which tempers out 2100875/2097152 and |-36 45 -14 -1> in the 7-limit, which is supported by 296, 465, 761, and 1057 EDOs among others. | '''67EDT''' is the [[Edt|equal division of the third harmonic]] into 67 parts of 28.3874 [[cent|cents]] each, corresponding to 42.2723 [[edo]]. It is related to the regular temperament which tempers out 2100875/2097152 and |-36 45 -14 -1> in the 7-limit, which is supported by 296, 465, 761, and 1057 EDOs among others. | ||
=Related regular temperaments= | ==Related regular temperaments== | ||
==296&465 temperament== | ===296&465 temperament=== | ||
===7-limit=== | ====7-limit==== | ||
Commas: 2100875/2097152, |-36 45 -14 -1> | Commas: 2100875/2097152, |-36 45 -14 -1> | ||
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Mapping: [<1 0 -3 6|, <0 67 225 -135|] | Mapping: [<1 0 -3 6|, <0 67 225 -135|] | ||
EDOs: 296, 465, 761, 1057 | EDOs: {{EDOs|296, 465, 761, 1057}} | ||
===11-limit=== | ====11-limit==== | ||
Commas: 46656/46585, 2100875/2097152, 21437500/21434787 | Commas: 46656/46585, 2100875/2097152, 21437500/21434787 | ||
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EDOs: 296, 465, 761, 1057 | EDOs: 296, 465, 761, 1057 | ||
===13-limit=== | ====13-limit==== | ||
Commas: 1575/1573, 46656/46585, 199927/199650, 216513/216320 | Commas: 1575/1573, 46656/46585, 199927/199650, 216513/216320 | ||
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EDOs: 296, 465, 761, 1057 | EDOs: 296, 465, 761, 1057 | ||
== Intervals == | |||
{{Interval table}} | |||
==Harmonics== | |||
{{Harmonics in equal | |||
| steps = 67 | |||
| num = 3 | |||
| denom = 1 | |||
| intervals = integer | |||
}} | |||
{{Harmonics in equal | |||
| steps = 67 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = integer | |||
}} | |||