Schismatic family: Difference between revisions
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[[Badness]]: 0.019950 | [[Badness]]: 0.019950 | ||
== Terminal == | |||
The ''terminal'' temperament (12&159, named by [[User:Xenllium|Xenllium]]) tempers out 441/440 and 4375/4356. In this temperament, 44/35 and 63/50 is represented as one period of 1/3 octave. | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 441/440, 4375/4356, 32805/32768 | |||
Mapping: [{{val|3 5 5 4 4}}, {{val|0 -1 8 18 26}}] | |||
POTE generator: ~35/33 = 98.176 | |||
Vals: {{Val list| 12, 147de, 159, 330 }} | |||
Badness: 0.059502 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 364/363, 441/440, 625/624, 13720/13689 | |||
Mapping: [{{val|3 5 5 4 4 3}}, {{val|0 -1 8 18 26 33}}] | |||
POTE generator: ~35/33 = 98.179 | |||
Vals: {{Val list| 12f, 147def, 159, 330 }} | |||
Badness: 0.037082 | |||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 364/363, 375/374, 441/440, 595/594, 8624/8619 | |||
Mapping: [{{val|3 5 5 4 4 3 13}}, {{val|0 -1 8 18 26 33 -3}}] | |||
POTE generator: ~18/17 = 98.190 | |||
Vals: {{Val list|12f, 147def, 159, 171, 330 }} | |||
Badness: 0.027073 | |||
== Hemiterm == | |||
The ''hemiterm'' temperament (12&342, named by [[User:Xenllium|Xenllium]]) has a period of 1/6 octave and tempers out [[9801/9800]] (kalisma) and 151263/151250 (odiheim comma). | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 9801/9800, 32805/32768, 151263/151250 | |||
Mapping: [{{val|6 10 10 8 7}}, {{val|0 -1 8 18 28}}] | |||
POTE generator: ~35/33 = 98.254 | |||
Vals: {{Val list| 12, 342, 1380, 1722, 2064, 2406c }} | |||
Badness: 0.029438 | |||
= Sesquiquartififths = | = Sesquiquartififths = | ||