33ed5: Difference between revisions
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'''33ED5''' is the [[Ed5|equal division of the 5th harmonic]] into 33 parts of 84. | {{Infobox ET}} | ||
'''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]], [[398edo|398]], [[412edo|412]], [[668edo|668]], and [[682edo|682]] EDOs. | |||
==Related regular temperaments== | ==Related regular temperaments== | ||
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POTE generator: ~21/20 = 84.4463 | POTE generator: ~21/20 = 84.4463 | ||
Mapping: [<2 5 0 -1|, <0 -13 33 47|] | |||
EDOs: 128, 142, 270, 398, 412, 668, 682 | EDOs: 128, 142, 270, 398, 412, 668, 682 | ||
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POTE generator: ~21/20 = 84.4430 | 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 | EDOs: 128, 142, 270, 398, 412, 668, 682 | ||
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Badness: 0.0583 | Badness: 0.0583 | ||
== Intervals == | |||
{{Interval table}} | |||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 33 | |||
| num = 5 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 33 | |||
| num = 5 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
{{todo|expand}} | |||