33ed5: Difference between revisions
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'''33ED5''' is the [[Ed5|equal division of the 5th harmonic]] into 33 parts of 84.4337 [[cent|cents]] each (very close to the minor septimal semitone, [[21/20]], 84.4672 cents). It is related to the 128&270 temperament (''Septisemitonic'' temperament, named by [[User:Xenllium|Xenllium]]), which tempers out 102760448/102515625 and 200120949/200000000 in the 7-limit, supported by [[128edo|128]], [[142edo|142]], [[270edo|270]], 398, 412, 668, and 682 EDOs. | '''33ED5''' is the [[Ed5|equal division of the 5th harmonic]] into 33 parts of 84.4337 [[cent|cents]] each (very close to the minor septimal semitone, [[21/20]], 84.4672 cents). It is related to the 128&270 temperament (''Septisemitonic'' temperament, named by [[User:Xenllium|Xenllium]]), which tempers out 102760448/102515625 and 200120949/200000000 in the 7-limit, supported by [[128edo|128]], [[142edo|142]], [[270edo|270]], 398, 412, 668, and 682 EDOs. | ||
Revision as of 20:41, 5 October 2022
| ← 32ed5 | 33ed5 | 34ed5 → |
33ED5 is the equal division of the 5th harmonic into 33 parts of 84.4337 cents each (very close to the minor septimal semitone, 21/20, 84.4672 cents). It is related to the 128&270 temperament (Septisemitonic temperament, named by Xenllium), which tempers out 102760448/102515625 and 200120949/200000000 in the 7-limit, supported by 128, 142, 270, 398, 412, 668, and 682 EDOs.
Related regular temperaments
7-limit 128&270
Commas: 102760448/102515625, 200120949/200000000
POTE generator: ~21/20 = 84.4463
Mapping: [<2 5 0 -1|, <0 -13 33 47|]
EDOs: 128, 142, 270, 398, 412, 668, 682
Badness: 0.1661
11-limit 128&270
Commas: 3025/3024, 131072/130977, 422576/421875
POTE generator: ~21/20 = 84.4430
Mapping: [<2 5 0 -1 11|, <0 -13 33 47 -29|]
EDOs: 128, 142, 270, 398, 412, 668, 682
Badness: 0.0583