Hemimean clan: Difference between revisions
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Badness: 0.023940 | Badness: 0.023940 | ||
== Mowglic == | |||
The ''mowglic'' temperament (19&161) is an extension of the mowgli temperament which tempers out the hemimean comma and the secanticornisma (177147/175000, laruquingu) in the 7-limit. | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 3136/3125, 177147/175000 | |||
[[Mapping]]: [{{val| 1 0 0 -3 }}, {{val| 0 15 22 55 }}] | |||
{{Multival|legend=1| 15 22 55 0 45 66 }} | |||
[[POTE generator]]: ~27/25 = 126.706 | |||
{{Val list|legend=1| 19, 123d, 142, 161 }} | |||
[[Badness]]: 0.129915 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 540/539, 3136/3125, 72171/71680 | |||
Mapping: [{{val| 1 0 0 -3 8 }}, {{val| 0 15 22 55 -43 }}] | |||
POTE generator: ~27/25 = 126.711 | |||
Vals: {{Val list| 19, 123de, 142, 161 }} | |||
Badness: 0.094032 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 351/350, 540/539, 1701/1690, 3136/3125 | |||
Mapping: [{{val| 1 0 0 -3 8 -2 }}, {{val| 0 15 22 55 -43 54 }}] | |||
POTE generator: ~14/13 = 126.705 | |||
Vals: {{Val list| 19, 123def, 142f, 161 }} | |||
Badness: 0.051571 | |||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 351/350, 540/539, 833/832, 1701/1690, 3136/3125 | |||
Mapping: [{{val| 1 0 0 -3 8 -2 10 }}, {{val| 0 15 22 55 -43 54 -56 }}] | |||
POTE generator: ~14/13 = 126.703 | |||
Vals: {{Val list| 19, 123defg, 142f, 161 }} | |||
Badness: 0.041918 | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 351/350, 476/475, 495/494, 513/512, 540/539, 1701/1690 | |||
Mapping: [{{val| 1 0 0 -3 8 -2 10 9 }}, {{val| 0 15 22 55 -43 54 -56 -45 }}] | |||
POTE generator: ~14/13 = 126.705 | |||
Vals: {{Val list| 19, 123defg, 142f, 161 }} | |||
Badness: 0.032168 | |||
== Quintagar == | == Quintagar == | ||