User:Dummy index/Semitritave: Difference between revisions
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==False octave== | ==False octave== | ||
Assuming the semitritave is available for [[Ed5/3 through ed7/3|false octave]]. Differ from [[acoustic phi]] or [[ed7/4]], two equave makes 3:1, well-known equave. | |||
==2*N-edt== | ==2*N-edt== | ||
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| 24edo | | 24edo | ||
| hypopent | | hypopent | ||
| "Fifth" is 11\19edst ≈ 11/8. Can convert easily from 19edo. "minor tenth" (e.g. (19+3+2)\19edst) ~ 2/1. | | "Fifth" is 11\19edst ≈ 11/8. Can convert easily from 19edo. "minor tenth" (e.g. (19+3+2)\19edst) ~ 2/1. "Major triad" ≈ 16:19:22. | ||
|- | |- | ||
| 23 | | 23 | ||
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==Rank-2 temperaments== | ==Rank-2 temperaments== | ||
===Tribilo as micromeantone=== | ===Tribilo as a micromeantone=== | ||
{{See also|Tribilo family}} | {{See also|Tribilo family}} | ||
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[[POTE generator]]: ~121/96 = 400.0108 (or ~11/8 = 550.9667) | [[POTE generator]]: ~121/96 = 400.0108 (or ~11/8 = 550.9667) | ||
Optimal | [[Optimal ET sequence]]: b14, b24, b38, b138, b176, b214, b252 | ||
[[Badness]]: 2.44 × 10<sup>-3</sup> | [[Badness]]: 2.44 × 10<sup>-3</sup> | ||
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http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_11_13%2F5_17&ets=b38_b62&tuning=po | http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_11_13%2F5_17&ets=b38_b62&tuning=po | ||
===b24 & b66 as microaugust=== | ===b24 & b66 as a microaugust=== | ||
Subgroup: 3.5/2.11/8 | Subgroup: 3.5/2.11/8 | ||
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[[Tp tuning|POL2 generator]]: ~288/275 = 82.9018 (or ~11/8 = 551.083) | [[Tp tuning|POL2 generator]]: ~288/275 = 82.9018 (or ~11/8 = 551.083) | ||
Optimal | [[Optimal ET sequence]]: b24, b66, b90, b114, b138, b252 | ||
[[Tp tuning #T2 tuning|RMS error]]: | [[Tp tuning #T2 tuning|RMS error]]: | ||
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http://x31eq.com/cgi-bin/rt.cgi?limit=3_5%2F2_16%2F7_11%2F8_13%2F2&ets=b24_b66p&tuning=po | http://x31eq.com/cgi-bin/rt.cgi?limit=3_5%2F2_16%2F7_11%2F8_13%2F2&ets=b24_b66p&tuning=po | ||
===b32 & b56 as microdiminished=== | ===b32 & b56 as a microdiminished=== | ||
Subgroup: 3.16.5.11 | Subgroup: 3.16.5.11 | ||
http://x31eq.com/cgi-bin/rt.cgi?limit=3_16_5_11&ets=b32_b56&tuning=po | http://x31eq.com/cgi-bin/rt.cgi?limit=3_16_5_11&ets=b32_b56&tuning=po | ||
===b38 & b54 as microsensi=== | ===subgroup 3.7.11 seems to be a lot=== | ||
===Vulture (no-fives Buzzard)=== | |||
Subgroup: 3.2.7 | |||
http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_7&ets=b8_b84&tuning=po | |||
===b38 & b54 as a microsensi=== | |||
Subgroup: 3.2.7.11/5 | Subgroup: 3.2.7.11/5 | ||
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[[Tp tuning|POL2 generator]]: ~896/729 = 351.4241 (or ~99/70 = 599.5534) | [[Tp tuning|POL2 generator]]: ~896/729 = 351.4241 (or ~99/70 = 599.5534) | ||
Optimal | [[Optimal ET sequence]]: b38, b54, b92 | ||
[[Tp tuning #T2 tuning|RMS error]]: | [[Tp tuning #T2 tuning|RMS error]]: | ||
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http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_7_11%2F5_13%2F5&ets=b38_b54&tuning=po | http://x31eq.com/cgi-bin/rt.cgi?limit=3_2_7_11%2F5_13%2F5&ets=b38_b54&tuning=po | ||
===b26 & b88 as microoneirotonic=== | ===b26 & b88 as a microoneirotonic=== | ||
Subgroup: 3.5.7.26 | Subgroup: 3.5.7.26 | ||
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[[POTE generator]]: ~26/21 = 367.0018 (or ~7/5 = 583.9757) | [[POTE generator]]: ~26/21 = 367.0018 (or ~7/5 = 583.9757) | ||
Optimal | [[Optimal ET sequence]]: b10, b16, b26, b62, b88, b114 | ||
[[Badness]]: 1.43 × 10<sup>-3</sup> | [[Badness]]: 1.43 × 10<sup>-3</sup> | ||