Gamelismic family: Difference between revisions
Cmloegcmluin (talk | contribs) adding parenthetical "(unchanged intervals)" to eigenmonzo lists |
+portannic (as proposed by Scott Dakota) |
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The '''gamelismic family''' of temperaments are rank-3 temperaments tempering out [[1029/1024]]. | The '''gamelismic family''' of temperaments are rank-3 temperaments tempering out [[1029/1024]]. | ||
== Gamelan | == Gamelan == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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Scales: [[portent26]] | Scales: [[portent26]] | ||
== Portent | == Portent == | ||
Portent has a [[Normal lists #normal interval list|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. | Portent has a [[Normal lists #normal interval list|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. | ||
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Scales: [[portent26]] | Scales: [[portent26]] | ||
=== Portending | === Portending === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness: 0.627 × 10<sup>-3</sup> | Badness: 0.627 × 10<sup>-3</sup> | ||
=== Portentous | === Portentous === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness: 0.662 × 10<sup>-3</sup> | Badness: 0.662 × 10<sup>-3</sup> | ||
=== Ominous | === Ominous === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness: 0.751 × 10<sup>-3</sup> | Badness: 0.751 × 10<sup>-3</sup> | ||
==== 17-limit | ==== 17-limit ==== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
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Badness: 0.612 × 10<sup>-3</sup> | Badness: 0.612 × 10<sup>-3</sup> | ||
=== Momentous | === Momentous === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness: 0.832 × 10<sup>-3</sup> | Badness: 0.832 × 10<sup>-3</sup> | ||
=== Foreboding | === Foreboding === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness: 0.873 × 10<sup>-3</sup> | Badness: 0.873 × 10<sup>-3</sup> | ||
== Gamel | === Portannic === | ||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 385/384, 441/440, 10985/10976 | |||
Mapping: [{{val| 1 1 2 3 3 4 }}, {{val| 0 3 0 -1 4 -1 }}, {{val| 0 0 3 0 -3 -1 }}] | |||
POTE generators: ~8/7 = 233.6434, ~14/13 = 128.3440 | |||
Vals: {{val list| 10, 36e, 46, 93e, 102, 103, 149, 159, 262df, 570ddeff, 832bcdddeefff }} | |||
Badness: 1.783 × 10<sup>-3</sup> | |||
== Gamel == | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||