User:Dummy index/Semitritave: Difference between revisions
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* so 30edt? | * so 30edt? | ||
To do mechanical translation from diatonic scores, "fifth" sound is preferred to be consonance. 7/5 is better, but it makes [[3L 2s]]. 11/8 corresponds to micro- meantone region. (for this purpose, 7/5 ≈ 3\5 of ed7/4 and 7/5 ≈ 4\7 of [[ed9/5]] are both extreme...) | To do mechanical translation from diatonic scores, "fifth" sound is preferred to be consonance. 7/5 is better, but it makes "[[3L 2s]]". 11/8 corresponds to micro- meantone region. (for this purpose, 7/5 ≈ 3\5 of ed7/4 and 7/5 ≈ 4\7 of [[ed9/5]] are both extreme...) | ||
(more to say, 7/5 results in "[[5L 3s]]", micro- oneirotonic.) | |||
{| class="wikitable" | {| class="wikitable" | ||
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===Tribilo as micromeantone=== | ===Tribilo as micromeantone=== | ||
{{See also|Tribilo family}} | {{See also|Tribilo family}} | ||
Subgroup: 3.2.11 | Subgroup: 3.2.11 | ||
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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 microaugust=== | ||
Subgroup: 3.5/2.11/8 | Subgroup: 3.5/2.11/8 | ||
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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=== | |||
Subgroup: 3.5.7.26 | |||
[[Comma list]]: 16875/16807, 676/675 | |||
[[Sval]] [[mapping]]: [{{val| 2 1 2 4 }}, {{val| 0 5 4 5 }}] | |||
Sval mapping generators: ~26/15, ~26/21 | |||
[[POTE generator]]: ~26/21 = 367.0018 (or ~7/5 = 583.9757) | |||
Optimal GPV sequence: b10, b16, b26, b62, b88, b114 | |||
[[Badness]]: 1.43 × 10<sup>-3</sup> | |||
====17-limit==== | |||
Subgroup: 3.4.5.7.11.17.26 | |||
http://x31eq.com/cgi-bin/rt.cgi?limit=3_4_5_7_11_17_26&ets=b26_b88&tuning=po | |||
==Relationship== | ==Relationship== | ||
On this micromeantone, "minor tenth" (e.g. "(19+3+2)\19") ~ 2/1. Re-breaking by real octave, results in [[6L 3s]] e. g. LsLLLsLLs, tribilo or triforce. | On this micromeantone, "minor tenth" (e.g. "(19+3+2)\19") ~ 2/1. Re-breaking by real octave, results in [[6L 3s]] e. g. LsLLLsLLs, tribilo or triforce. | ||