28ed5: Difference between revisions
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==28ed5 as a generator== | ==28ed5 as a generator== | ||
28ed5 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 1216/1215, 1445/1444, and 6144/6137, which is a [[cluster temperament]] with 12 clusters of notes in an octave. The small chroma interval between adjacent notes in each cluster is very versatile, representing 1088/1083 ~ 256/255 ~ 289/288 ~ 324/323 ~ 361/360 all tempered together. This temperament is supported by [[12edo]], [[205edo]], and [[217edo]] among others. | 28ed5 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 1216/1215, 1445/1444, and 6144/6137, which is a [[cluster temperament]] with 12 clusters of notes in an octave. The small chroma interval between adjacent notes in each cluster is very versatile, representing 1088/1083 ~ 256/255 ~ 289/288 ~ 324/323 ~ 361/360 all tempered together. This temperament is supported by [[12edo]], [[205edo]], and [[217edo]] among others. | ||
'''<font style="font-size: 1.2em">5-limit 12&205</font>'''<br> | |||
Comma: |56 -28 -5><br><br> | |||
POTE generator: ~4428675/4194304 = 99.526<br><br> | |||
Map: [<1 2 0|, <0 -5 28|]<br><br> | |||
EDOs: 12, 169, 181, 193, 205, 217, 229, 241, 374, 398, 422, 446, 591, 603, 627, 639, 784, 808, 832, 856, 989, 1001, 1013, 1037, 1049, 1061, 1242<br><br> | |||
Badness: 0.399849<br><br> | |||
'''<font style="font-size: 1.2em">2.3.5.17.19 12&205</font>'''<br> | |||
Commas: 1216/1215, 1445/1444, 6144/6137<br><br> | |||
POTE generator: ~18/17 = 99.524<br><br> | |||
Map: [<1 2 0 5 4|, <0 -5 28 -11 3|]<br><br> | |||
EDOs: 12, 169, 181, 193, 205, 217, 229, 241, 374, 398, 422, 446, 591, 603<br><br> | |||
==See also== | ==See also== | ||