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| Line 4: |
Line 4: |
| * Canou (94 & 99 & 118) and various extensions | | * Canou (94 & 99 & 118) and various extensions |
| * Lux (41 & 46 & 270) named in cooperation with Godtone | | * Lux (41 & 46 & 270) named in cooperation with Godtone |
| | * Headquarters (22 & 46 & 72) |
| * Luminal (183 & 311) | | * Luminal (183 & 311) |
| * Superlimmal (80 & 311) | | * Superlimmal (80 & 311) |
| Line 24: |
Line 25: |
| * Gary (41 & 135, 2.3.7.11) | | * Gary (41 & 135, 2.3.7.11) |
| * Countertertiaschis (159 & 224) | | * Countertertiaschis (159 & 224) |
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| == 22 & 46 & 72 ==
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| An 11-limit rank-3 temperament. Announced in FB group. To be called "headquarters", to be added to keenanismic temperaments (which doesn't exist now).
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| 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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| === 7-limit ===
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| Subgroup: 2.3.5.7
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| [[Comma list]]: 1500625/1492992
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| [[Mapping]]: [{{val| 2 1 0 7 }}, {{val| 0 2 0 3 }}, {{val| 0 0 1 -1 }}]
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| Mapping generators: ~1225/864, ~35/24, ~5
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| {{Multival|legend=1|rank=3| 4 -4 -6 11 }}
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| [[POTE generator]]s: ~36/35 = 50.9529 or ~48/35 = 549.0471, ~5/4 = 385.3326
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| {{Val list|legend=1| 22, 46, 68, 72, 118, 140, 212, 330, 470, 542d, 872cdd, 1012cdd, 1414ccddd }}
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| [[Badness]]: 0.7042 × 10<sup>-3</sup>
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| [[Comma list]]: 385/384, 9801/9800
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| [[Mapping]]: [{{val| 2 1 0 7 8 }}, {{val| 0 2 0 3 -1 }}, {{val| 0 0 1 -1 0 }}]
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| Mapping generators: ~99/70, ~16/11, ~5
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| [[POTE generator]]s: ~33/32 = 50.7404 or ~11/8 = 549.2596, ~5/4 = 385.0315
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| {{Val list|legend=1| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de }}
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| [[Badness]]: 0.5292 × 10<sup>-3</sup>
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| == 87 & 94 & 111 == | | == 87 & 94 & 111 == |