Schismatic family: Difference between revisions
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[[Badness]]: 0.014133 | [[Badness]]: 0.014133 | ||
== Helenoid == | |||
The ''helenoid'' temperament (53&118, named by [[User:Xenllium|Xenllium]]) is closely related to the helenus temperament, but with the [[4375/4374|ragisma]] rather than the [[225/224|marvel comma]] tempered out. | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 385/384, 3388/3375, 4375/4374 | |||
Mapping: [{{val|1 0 15 -59 51}}, {{val|0 1 -8 39 -30}}] | |||
POTE generator: ~3/2 = 701.722 | |||
Vals: {{Val list| 53, 118, 289e, 407de }} | |||
Badness: 0.038863 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 352/351, 385/384, 625/624, 729/728 | |||
Mapping: [{{val|1 0 15 -59 51 56}}, {{val|0 1 -8 39 -30 -33}}] | |||
POTE generator: ~3/2 = 701.745 | |||
Vals: {{Val list| 53, 118, 171e }} | |||
Badness: 0.033677 | |||
== Ponta == | |||
The ''ponta'' temperament (53&224, named by [[User:Xenllium|Xenllium]]) tempers out the [[540/539|swetisma]] and the ragisma. | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 540/539, 4375/4374, 32805/32768 | |||
Mapping: [{{val|1 0 15 -59 135}}, {{val|0 1 -8 39 -83}}] | |||
POTE generator: ~3/2 = 701.783 | |||
Vals: {{Val list| 53, 171, 224, 1291cde, 1515cde, 1739cddee, 1963cddee, 2187ccddee }} | |||
Badness: 0.048692 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 540/539, 625/624, 729/728, 4096/4095 | |||
Mapping: [{{val|1 0 15 -59 135 56}}, {{val|0 1 -8 39 -83 -33}}] | |||
POTE generator: ~3/2 = 701.784 | |||
Vals: {{Val list| 53, 171, 224 }} | |||
Badness: 0.023616 | |||
== Pontic == | |||
The ''pontic'' temperament (118&171, named by [[User:Xenllium|Xenllium]]) tempers out the [[441/440|werckisma]] and the ragisma. | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 441/440, 4375/4374, 32805/32768 | |||
Mapping: [{{val|1 0 15 -59 -136}}, {{val|0 1 -8 39 88}}] | |||
POTE generator: ~3/2 = 701.724 | |||
Vals: {{Val list| 53e, 118, 289, 407d, 696d }} | |||
Badness: 0.049573 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 441/440, 625/624, 729/728, 3584/3575 | |||
Mapping: [{{val|1 0 15 -59 -136 56}}, {{val|0 1 -8 39 88 -33}}] | |||
POTE generator: ~3/2 = 701.738 | |||
Vals: {{Val list| 53e, 118, 171, 289f, 460ef }} | |||
Badness: 0.045308 | |||
== Bipont == | == Bipont == | ||