User:FloraC/Temperament name proposal: Difference between revisions
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* Aureusma (1445/1444) | * Aureusma (1445/1444) | ||
* Noema (1225/1224) | * Noema (1225/1224) | ||
Variations on existing roots: | |||
* Semiseptiquarter (94 & 198) | |||
* Semiparamint (80 & 118) | |||
* Semiparawolf (80 & 118f) | |||
* Gary (41 & 135, 2.3.7.11) | |||
== 22 & 46 & 72 == | == 22 & 46 & 72 == | ||
An 11-limit rank-3 temperament. Announced in FB group. | An 11-limit rank-3 temperament. Announced in FB group. To be called "headquarters". | ||
It tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, [[385/384]], the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit. It features splitting the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most valuable for those who would like to make extensive use of quartertones. It can be viewed as one which is joined by the three quartertone-sized edos: [[22edo]], [[24edo]], and [[26edo]]. It shares the [[optimal patent val]], [[284edo]] with [[Keenanismic family|keenanismic]]. | It tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, [[385/384]], the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit. It features splitting the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most valuable for those who would like to make extensive use of quartertones. It can be viewed as one which is joined by the three quartertone-sized edos: [[22edo]], [[24edo]], and [[26edo]]. It shares the [[optimal patent val]], [[284edo]] with [[Keenanismic family|keenanismic]]. | ||
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[[POTE generator]]s: ~36/35 = 50.9529 or ~48/35 = 549.0471, ~5/4 = 385.3326 | [[POTE generator]]s: ~36/35 = 50.9529 or ~48/35 = 549.0471, ~5/4 = 385.3326 | ||
{{Val list|legend=1| 22, 46, 68, 72, 118, 140, 212, 330, 470 }} | {{Val list|legend=1| 22, 46, 68, 72, 118, 140, 212, 330, 470, 542d, 872cdd, 1012cdd, 1414ccddd }} | ||
[[Badness]]: 0.7042 × 10<sup>-3</sup> | [[Badness]]: 0.7042 × 10<sup>-3</sup> | ||
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[[POTE generator]]s: ~33/32 = 50.7404 or ~11/8 = 549.2596, ~5/4 = 385.0315 | [[POTE generator]]s: ~33/32 = 50.7404 or ~11/8 = 549.2596, ~5/4 = 385.0315 | ||
{{Val list|legend=1| 22, 46, 68, 72, 118, 190, 212, 284, 330e }} | {{Val list|legend=1| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }} | ||
[[Badness]]: 0.5292 × 10<sup>-3</sup> | [[Badness]]: 0.5292 × 10<sup>-3</sup> | ||
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[[Mapping]]: [{{val| 1 0 2 12 1 6 }}, {{val| 0 1 2 -4 2 -1 }}, {{val| 0 0 4 4 1 1 }}] | [[Mapping]]: [{{val| 1 0 2 12 1 6 }}, {{val| 0 1 2 -4 2 -1 }}, {{val| 0 0 4 4 1 1 }}] | ||
{{Val list|legend=1| | {{Val list|legend=1| 87, 111, 181, 198, 379f, 490f }} | ||
[[Badness]]: | [[Badness]]: 1.650 × 10<sup>-3</sup> | ||
== 41 & 46 & 53 & 58 == | == 41 & 46 & 53 & 58 == | ||
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[[POTE generator]]s: ~3/2 = 702.9075, ~5/4 = 387.0723, ~11/8 = 551.4538 | [[POTE generator]]s: ~3/2 = 702.9075, ~5/4 = 387.0723, ~11/8 = 551.4538 | ||
{{Val list|legend=1| 12f, 17c, 29, 41, 46, 53, 58, 87, 111, 140, 198 }} | {{Val list|legend=1| 12f, 17c, 29, 41, 46, 53, 58, 87, 111, 140, 198, 350f, 437f, 490f }} | ||
[[Badness]]: 2.550 × 10<sup>-6</sup> | [[Badness]]: 2.550 × 10<sup>-6</sup> | ||