42ed11: Difference between revisions
Created page with "'''Division of the 11th harmonic into 42 equal parts''' (42ed11) is related to 12 edo, but with the 11/1 rather than the 2/1 being just. The octave is about..." |
m Removing from Category:Edonoi using Cat-a-lot |
||
| (8 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
'''[[Ed11|Division of the 11th harmonic]] into 42 equal parts''' ( | {{Infobox ET}} | ||
'''[[Ed11|Division of the 11th harmonic]] into 42 equal parts''' (42ED11) is related to [[12edo|12 EDO]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the 11-[[integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the 10-integer-limit. | |||
{| class="wikitable" | {| class="wikitable" | ||
| Line 15: | Line 16: | ||
| | 1 | | | 1 | ||
| | 98.8409 | | | 98.8409 | ||
| | | | | 18/17 | ||
| | | | | | ||
|- | |- | ||
| Line 25: | Line 26: | ||
| | 3 | | | 3 | ||
| | 296.5227 | | | 296.5227 | ||
| | | | | 19/16 | ||
| | | | | | ||
|- | |- | ||
| Line 40: | Line 41: | ||
| | 6 | | | 6 | ||
| | 593.0454 | | | 593.0454 | ||
| | | | | 45/32 | ||
| | | | | | ||
|- | |- | ||
| Line 50: | Line 51: | ||
| | 8 | | | 8 | ||
| | 790.7272 | | | 790.7272 | ||
| | | | | 30/19 | ||
| | | | | | ||
|- | |- | ||
| Line 60: | Line 61: | ||
| | 10 | | | 10 | ||
| | 988.4090 | | | 988.4090 | ||
| | | | | 16/9 | ||
| | | | | | ||
|- | |- | ||
| Line 85: | Line 86: | ||
| | 15 | | | 15 | ||
| | 1482.6136 | | | 1482.6136 | ||
| | | | | 33/14 | ||
| | | | | | ||
|- | |- | ||
| Line 145: | Line 146: | ||
| | 27 | | | 27 | ||
| | 2668.7044 | | | 2668.7044 | ||
| | | | | 14/3 | ||
| | | | | | ||
|- | |- | ||
| Line 224: | Line 225: | ||
|} | |} | ||
==See also== | == Regular temperaments == | ||
* [[12edo|12EDO]] | {{See also| Quintaleap family }} | ||
* [[19ed3| | |||
* [[28ed5|28ED5]] | 42ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''[[Quintaleap family #Quintapole|quintapole]]'' temperament, 12&85). Alternative 12&97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit. | ||
* [[31ed6|31ED6]] | |||
* [[34ed7|34ED7]] | == See also == | ||
* [[40ed10|40ED10]] | * [[12edo|12EDO]] - relative EDO | ||
* [[19ed3|19ED3]] - relative EDT | |||
* [[28ed5|28ED5]] - relative ED5 | |||
* [[31ed6|31ED6]] - relative ED6 | |||
* [[34ed7|34ED7]] - relative ED7 | |||
* [[40ed10|40ED10]] - relative ED10 | |||
{{todo|expand}} | |||