Pythagorean family: Difference between revisions
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=Catler temperament= | =Catler temperament= | ||
In terms of the normal comma list, catler is characterized by the addition of the schisma, 32805/32768, to the Pythagorean comma, though it can also be characterized as adding 81/80, 128/125 or 648/625. In any event, the 5-limit is exactly the same as the 5-limit of [[ | In terms of the normal comma list, catler is characterized by the addition of the schisma, 32805/32768, to the Pythagorean comma, though it can also be characterized as adding 81/80, 128/125 or 648/625. In any event, the 5-limit is exactly the same as the 5-limit of [[12edo]]. Catler can also be characterized as the 12&24 temperament. [[36edo]] or [[48edo]] are possible tunings, and 36/35, 21/20, 15/14, 8/7, 7/6, 6/5, 9/7 or 7/5 are possible generators. | ||
Commas: 81/80, 128/125 | Commas: 81/80, 128/125 | ||
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Badness: 0.0284 | Badness: 0.0284 | ||
==Duodecim== | |||
Commas: 36/35, 50/49, 64/63 | |||
POTE generator: ~45/44 = 34.977 | |||
Map: [<12 19 28 34 0|, <0 0 0 0 1|] | |||
EDOs: 12, 24d | |||
=Omicronbeta temperament= | =Omicronbeta temperament= | ||