2023/2000: Difference between revisions
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== Temperaments == | == Temperaments == | ||
Note: groundfault uses extensions that identify the ~20/17~13/11 with ~19/16 and tempering out 209/208; however, this leads to considerable damage to prime 19. | |||
=== Pentagoth === | === Pentagoth === | ||
[[Subgroup]]: 2.5.7.17 | [[Subgroup]]: 2.5.7.17 | ||
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[[Badness]] (Sintel): 0.509 | [[Badness]] (Sintel): 0.509 | ||
==== 2.5.7.13/11.17 | ==== 2.5.7.13/11.17.23 ==== | ||
[[Subgroup]]: 2.5.7.13/11.17 | [[Subgroup]]: 2.5.7.13/11.17.23 | ||
[[Comma list]]: 221/220, 161/160, | [[Comma list]]: 221/220, 161/160, 1309/1300 | ||
{{Mapping|legend=2|1 2 2 0 | {{Mapping|legend=2|1 2 2 0 4 5|0 1 1 0 1 0|0 0 2 1 -1 -2}} | ||
[[Optimal tuning]] ([[CWE]]): ~2 = 1\1, ~5/4 = | [[Optimal tuning]] ([[CWE]]): ~2 = 1\1, ~5/4 = 387.513, ~[[13/11]] = 288.786 | ||
[[Badness]] (Sintel): 0. | [[Badness]] (Sintel): 0.191 | ||
===== No-3 23-limit ===== | ===== No-3 no-19 23-limit ===== | ||
[[Subgroup]]: 2.5.7.11.13.17 | [[Subgroup]]: 2.5.7.11.13.17.23 | ||
[[Comma list]]: 176/175, 221/220, 161/160 | [[Comma list]]: 176/175, 221/220, 161/160, 1309/1300 | ||
{{Mapping|legend=2|1 2 2 2 2 | {{Mapping|legend=2|1 2 2 2 2 4 5|0 1 1 3 3 1 0|0 0 2 2 3 -1 -2}} | ||
[[Optimal tuning]] ([[CWE]]): ~2 = 1\1, ~5/4 = | [[Optimal tuning]] ([[CWE]]): ~2 = 1\1, ~5/4 = 390.453, ~[[13/11]] = 288.844 | ||
[[Badness]] (Sintel): 0. | [[Badness]] (Sintel): 0.497 | ||
=== Pentagoth clan === | === Pentagoth clan === | ||
Rank-2 temperaments supporting pentagoth | Rank-2 temperaments supporting pentagoth | ||