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| ** Deuteromere (94 & 111 & 118) – 2.3.5.11.17.19 retraction, part of a series of -mere names devised in cooperation with Aura | | ** Deuteromere (94 & 111 & 118) – 2.3.5.11.17.19 retraction, part of a series of -mere names devised in cooperation with Aura |
| *** Syndeute (94 & 111 & 118f) – 19-limit extension thereof | | *** Syndeute (94 & 111 & 118f) – 19-limit extension thereof |
| * Orthocanousmic (94 & 99 & 99ef & 118f) – full 19-limit rank-4 nullity-4 temperament
| | * Canou (94 & 99 & 118) – 2.3.5.7.17.19 subgroup temperament |
| ** Canou (94 & 99 & 118) – 2.3.5.7.17.19 retraction, a counterpart of deuteromere
| | ** Synca (94 & 99ef & 118f) – 19-limit extension thereof |
| *** Synca (94 & 99ef & 118f) – 19-limit extension thereof
| | ** Canta (75e & 80 & 104c) – alternative 13-limit extension thereof |
| *** Canta (75e & 80 & 104c) – alternative 13-limit extension thereof
| | ** Humorous (198 & 311) – 13-limit temperament thereof, weak extension of amicable |
| *** Humorous (198 & 311) – 13-limit temperament thereof, weak extension of amicable
| | ** Superlimmal (80 & 311) – 13-limit temperament thereof, with its own extensions in the higher limit |
| *** Superlimmal (80 & 311) – 13-limit temperament thereof, with its own extensions in the higher limit
| | * Reiwa (99 & 111 & 113ghh) – 2.3.5.7.17.19 subgroup temperament, another counterpart of deuteromere |
| * Paracanousmic (87 & 99ef & 111 & 113ghh) – full 19-limit rank-4 nullity-4 temperament
| | ** Synre (99ef & 111 & 113ghh) – 19-limit extension thereof |
| ** Reiwa (99 & 111 & 113ghh) – 2.3.5.7.17.19 retraction, another counterpart of deuteromere
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| *** Synre (99ef & 111 & 113ghh) – 19-limit extension thereof
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| * Demisymbiotic (94 & 99ef & 111 & 118f) – full 19-limit rank-4 nullity-4 temperament. Symbiotic was found by Aura. This extends it through a split of the second generator. | | * Demisymbiotic (94 & 99ef & 111 & 118f) – full 19-limit rank-4 nullity-4 temperament. Symbiotic was found by Aura. This extends it through a split of the second generator. |
| ** Demiwill – 2.3.5.13.17.19 retraction thereof | | ** Demiwill – 2.3.5.13.17.19 retraction thereof |
| * Semicanou (94 & 118f & 198gh) – merge of semicanousmic and orthocanousmic | | * Semicanou (94 & 118f & 198gh) |
| * Hemireiwa (87 & 111 & 212gh) – merge of semicanousmic and paracanousmic | | * Hemireiwa (87 & 111 & 212gh) |
| * Floral (198 & 212) – merge of semicanou and hemireiwa, weak extension of amicable | | * Floral (198 & 212) – merge of semicanou and hemireiwa, weak extension of amicable |
| * Artoneutral (87 & 94) | | * Artoneutral (87 & 94) |
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| [[Badness]]: 0.0961 | | [[Badness]]: 0.0961 |
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| == Orthocanousmic ==
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| [[Subgroup]]: 2.3.5.7.11.13
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| [[Comma list]]: 2080/2079, 4621925/4605822
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| {{Mapping|legend=1| 1 0 0 -1 0 -6 | 0 1 2 2 0 3 | 0 0 -4 3 0 7 | 0 0 0 0 1 1 }}
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| [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.3120, ~81/70 = 254.6177, ~11/8 = 551.2945
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| {{Optimal ET sequence|legend=1| 94, 113, 193e, 193f, 198, 311, 509, 721, 938, 1249 }}
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| [[Badness]]: 26.5 × 10<sup>-6</sup>
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 1225/1224, 2080/2079, 256564/255879
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| Mapping: {{mapping| 1 0 0 -1 0 -6 -5 | 0 1 2 2 0 3 6 | 0 0 -4 3 0 7 -2 | 0 0 0 0 1 1 0 }}
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| Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3391, ~81/70 = 254.6143, ~11/8 = 551.2678
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| {{Optimal ET sequence|legend=1| 94, 118f, 193e, 193f, 198g, 212g, 217, 311, 509, 721, 938, 1447b, 1659b }}
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| Badness: 41.6 × 10<sup>-6</sup>
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| === 19-limit ===
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| Subgroup: 2.3.5.7.11.13.17.19
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| Comma list: 1216/1215, 1225/1224, 1445/1444, 2080/2079
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| Mapping: {{mapping| 1 0 0 -1 0 -6 -5 -6 | 0 1 2 2 0 3 6 7 | 0 0 -4 3 0 7 -2 -4 | 0 0 0 0 1 1 0 0 }}
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| Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3182, ~81/70 = 254.6205, ~11/8 = 551.2767
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| {{Optimal ET sequence|legend=1| 94, 118f, 193e, 193f, 198gh, 212gh, 217, 311, 627h, 721, 938, 1032, 1249 }}
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| Badness: 47.2 × 10<sup>-6</sup>
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| == Paracanousmic ==
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| [[Subgroup]]: 2.3.5.7.11.13
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| [[Comma list]]: 2080/2079, 831875/830466
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| {{Mapping|legend=1| 1 0 2 7 0 0 | 0 1 0 -3 0 0 | 0 0 4 7 0 3 | 0 0 0 0 1 1 }}
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| [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.1596, ~55/52 = 96.5027, ~11/8 = 551.1788
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| {{Optimal ET sequence|legend=1| 87, 111, 186, 198, 224, 311, 422, 634, 733f, 858, 945, 1169, 1367, 1591f }}
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| [[Badness]]: 9.66 × 10<sup>-6</sup>
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 2080/2079, 2500/2499, 41140/41067
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| Mapping: {{mapping| 1 0 2 7 0 0 -4 | 0 1 0 -3 0 0 5 | 0 0 4 7 0 3 2 | 0 0 0 0 1 1 0 }}
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| Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3034, ~55/52 = 96.5472, ~11/8 = 551.1166
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| {{Optimal ET sequence|legend=1| 87, 99ef, 111, 198g, 212g, 299, 311, 422, 721, 733f, 931fg, 1143, 1565bf }}
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| Badness: 32.2 × 10<sup>-6</sup>
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| === 19-limit ===
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| Subgroup: 2.3.5.7.11.13.17.19
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| Comma list: 1216/1215, 1445/1444, 2080/2079, 2500/2499
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| Mapping: {{mapping| 1 0 2 7 0 0 -4 -4 | 0 1 0 -3 0 0 5 5 | 0 0 4 7 0 3 2 4 | 0 0 0 0 1 1 0 0 }}
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| Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.2902, ~55/52 = 96.5420, ~11/8 = 551.1238
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| {{Optimal ET sequence|legend=1| 87, 99ef, 111, 198gh, 210efgh, 212g, 299, 311, 422, 733f, 1056, 1143h, 1454fh }}
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| Badness: 37.2 × 10<sup>-6</sup>
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| == 87 & 94 & 111 == | | == 87 & 94 & 111 == |