The Archipelago: Difference between revisions
m →Rank-4 temperaments: update keys |
→Taylor: +extension involving 37, by request |
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=== Taylor === | === Taylor === | ||
Taylor is the "reduction" of [[hemischis]] to the 2.3.5.13 subgroup, tempering out the [[schisma]] in addition to 676/675. It can be reasonably extended to | Taylor is the "reduction" of [[hemischis]] to the 2.3.5.13 subgroup, tempering out the [[schisma]] in addition to 676/675. It can be reasonably extended to include harmonic 19 like most schismic temperaments, but even better, the hemifourth may be interpreted as an octave-reduced harmonic 37 ([[37/32]]). The extension is dubbed ''dakota'' (not to be confused with [[595/594 #Temperaments|dakotismic and/or dakotic]]). | ||
[[Subgroup]]: 2.3.5.13 | [[Subgroup]]: 2.3.5.13 | ||
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[[Badness]]: 0.00575 | [[Badness]]: 0.00575 | ||
===== 2.3.5.13.19.37 subgroup ===== | |||
[[Subgroup]]: 2.3.5.13.19.37 | |||
[[Comma list]]: 361/360, 481/480, 513/512, 676/675 | |||
[[Sval]] [[mapping]]: [{{val| 1 0 15 14 9 6 }}, {{val| 0 2 -16 -13 -6 -1 }}] | |||
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~26/15 = 950.8187 | |||
{{Val list|legend=1| 24, 29, 53, 183, 236h, 289hl, 631fhhll }} | |||
[[Badness]]: 0.00357 | |||
=== Parizekmic === | === Parizekmic === | ||