67edt: Difference between revisions
Created page with "'''67EDT''' is the equal division of the third harmonic into 67 parts of 28.3874 cents each, corresponding to 42.2723 edo. It is related to the regular te..." Tags: Mobile edit Mobile web edit |
m Removing from Category:Edonoi using Cat-a-lot |
||
| (6 intermediate revisions by 5 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | |||
'''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> | ||
POTE generator: ~64/63 = 28.3825 | POTE generator: ~64/63 = 28.3825 | ||
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 | ||
POTE generator: ~64/63 = 28.3824 | POTE generator: ~64/63 = 28.3824 | ||
Mapping: [<1 0 -3 6 1|, <0 67 225 -135 104|] | |||
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 | ||
POTE generator: ~64/63 = 28.3825 | POTE generator: ~64/63 = 28.3825 | ||
Mapping: [<1 0 -3 6 1 -2|, <0 67 225 -135 104 241|] | |||
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 | |||
}} | |||