Ragismic microtemperaments: Difference between revisions
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→Deca: comma basis and GPV sequence |
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== Deca == | == Deca == | ||
Deca temperament has a period of 1/10 octave and tempers out the [[15/ | Deca temperament has a period of 1/10 octave and tempers out the [[15/14 equal-step tuning|linus comma]], {{monzo| 11 -10 -10 10 }} and {{monzo| 12 -3 -14 9 }} = 165288374272/164794921875 (satritrizo-asepbigu). | ||
Subgroup: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 4375/4374, 165288374272/164794921875 | [[Comma list]]: 4375/4374, 165288374272/164794921875 | ||
[[Mapping]]: [{{val|10 4 9 2}}, {{val|0 5 6 11}}] | [[Mapping]]: [{{val| 10 4 9 2 }}, {{val| 0 5 6 11 }}] | ||
{{Multival|legend=1|50 60 110 -21 34 87}} | {{Multival|legend=1| 50 60 110 -21 34 87 }} | ||
[[POTE generator]]: ~6/5 = 315.577 | [[POTE generator]]: ~6/5 = 315.577 | ||
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Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Comma list: 3025/3024, 4375/4374, | Comma list: 3025/3024, 4375/4374, 391314/390625 | ||
Mapping: [{{val|10 4 9 2 18}}, {{val|0 5 6 11 7}}] | Mapping: [{{val| 10 4 9 2 18 }}, {{val| 0 5 6 11 7 }}] | ||
POTE generator: ~6/5 = 315.582 | POTE generator: ~6/5 = 315.582 | ||
Optimal GPV sequence: {{Val list| 80, 190, 270, 1000, 1270 }} | Optimal GPV sequence: {{Val list| 80, 190, 270, 1000, 1270, 1540e, 1810e }} | ||
Badness: 0.024329 | Badness: 0.024329 | ||
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Comma list: 1001/1000, 3025/3024, 4225/4224, 4375/4374 | Comma list: 1001/1000, 3025/3024, 4225/4224, 4375/4374 | ||
Mapping: [{{val|10 4 9 2 18 37}}, {{val|0 5 6 11 7 0}}] | Mapping: [{{val| 10 4 9 2 18 37 }}, {{val| 0 5 6 11 7 0 }}] | ||
POTE generator: ~6/5 = 315.602 | POTE generator: ~6/5 = 315.602 | ||