11ed6: Difference between revisions
Jump to navigation
Jump to search
m Infobox ET added |
m linking EDOs |
||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
'''11ED6''' is the [[Ed6|equal division of the sixth harmonic]] into six parts of 281.9959 [[cent|cents]] each, corresponding to 4.2554 [[edo]]. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by 17, 34, 149, 166, 183, 200, 217, and 234 EDOs. | '''11ED6''' is the [[Ed6|equal division of the sixth harmonic]] into six parts of 281.9959 [[cent|cents]] each, corresponding to 4.2554 [[edo]]. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by {{EDOs|17, 34, 149, 166, 183, 200, 217, and 234}} EDOs. | ||
==Related temperament== | ==Related temperament== | ||
| Line 10: | Line 10: | ||
Mapping: [<1 -1 -5|, <0 11 36|] | Mapping: [<1 -1 -5|, <0 11 36|] | ||
EDOs: 17, 34, 166, 183, 200, 217, 366, 383, 400, 566 | EDOs: {{EDOs|17, 34, 166, 183, 200, 217, 366, 383, 400, 566}} | ||
===2.3.11.13 subgroup 17&183=== | ===2.3.11.13 subgroup 17&183=== | ||
| Line 19: | Line 19: | ||
Mapping: [<1 -1 -5 -1|, <0 11 36 20|] | Mapping: [<1 -1 -5 -1|, <0 11 36 20|] | ||
EDOs: 17, 34, 149, 166, 183, 200, 217, 234, 366 | EDOs: {{EDOs|17, 34, 149, 166, 183, 200, 217, 234, 366}} | ||
[[Category:Ed6]] | [[Category:Ed6]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 15:12, 10 November 2023
| ← 10ed6 | 11ed6 | 12ed6 → |
11ED6 is the equal division of the sixth harmonic into six parts of 281.9959 cents each, corresponding to 4.2554 edo. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by 17, 34, 149, 166, 183, 200, 217, and 234 EDOs.
Related temperament
2.3.11 subgroup 17&183
Comma: |-19 36 0 0 -11>
POTE generator: ~|7 -13 0 0 4> = 281.9832
Mapping: [<1 -1 -5|, <0 11 36|]
EDOs: 17, 34, 166, 183, 200, 217, 366, 383, 400, 566
2.3.11.13 subgroup 17&183
Commas: 28561/28512, 85293/85184
POTE generator: ~286/243 = 281.9821
Mapping: [<1 -1 -5 -1|, <0 11 36 20|]