Meantone family: Difference between revisions
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Badness: 0.019953 | Badness: 0.019953 | ||
===== 19-limit ===== | ====== 19-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
| Line 565: | Line 565: | ||
Badness: 0.017791 | Badness: 0.017791 | ||
===== Meanpoid ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 81/80, 105/104, 120/119, 126/125, 144/143 | |||
Mapping: [{{val|1 0 -4 -13 24 -20 12}}, {{val|0 1 4 10 -13 15 -5}}] | |||
POTE generator: ~3/2 = 696.408 | |||
Optimal GPV sequence: {{Val list| 12ef, 19, 31, 81g, 112bfgg }} | |||
Badness: 0.022870 | |||
====== 19-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 77/76, 81/80, 96/95, 105/104, 120/119, 126/125 | |||
Mapping: [{{val|1 0 -4 -13 24 -20 12 9}}, {{val|0 1 4 10 -13 15 -5 -3}}] | |||
POTE generator: ~4/3 = 503.501 | |||
Optimal GPV sequence: {{Val list| 12ef, 19, 31, 81gh, 112bfgghh }} | |||
Badness: 0.020488 | |||
==== Meanplop ==== | ==== Meanplop ==== | ||
| Line 582: | Line 608: | ||
Badness: 0.027666 | Badness: 0.027666 | ||
===== 17-limit ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 52/51, 65/64, 78/77, 81/80, 91/90 | |||
Mapping: [{{val|1 0 -4 -13 24 10 12}}, {{val|0 1 4 10 -13 -4 -5}}] | |||
POTE generator: ~3/2 = 696.414 | |||
Optimal GPV sequence: {{Val list| 12e, 19, 31f }} | |||
Badness: 0.026836 | |||
====== 19-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 39/38, 52/51, 65/64, 77/76, 81/80, 91/90 | |||
Mapping: [{{val|1 0 -4 -13 24 10 12 9}}, {{val|0 1 4 10 -13 -4 -5 -3}}] | |||
POTE generator: ~3/2 = 696.497 | |||
Optimal GPV sequence: {{Val list| 12e, 19, 31f }} | |||
Badness: 0.023540 | |||
===== Meanploid ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 51/50, 65/64, 78/77, 81/80, 85/84 | |||
Mapping: [{{val|1 0 -4 -13 24 10 -7}}, {{val|0 1 4 10 -13 -4 7}}] | |||
POTE generator: ~3/2 = 696.415 | |||
Optimal GPV sequence: {{Val list| 12e, 19g, 31fg }} | |||
Badness: 0.026094 | |||
====== 19-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 51/50, 57/56, 65/64, 76/75, 78/77, 81/80 | |||
Mapping: [{{val|1 0 -4 -13 24 10 -7 -10}}, {{val|0 1 4 10 -13 -4 7 9}}] | |||
POTE generator: ~3/2 = 696.583 | |||
Optimal GPV sequence: {{Val list| 12e, 19gh, 31fgh }} | |||
Badness: 0.023104 | |||
=== Meanenneadecal === | === Meanenneadecal === | ||
| Line 627: | Line 705: | ||
Badness: 0.022980 | Badness: 0.022980 | ||
===== 19-limit ===== | ====== 19-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
| Line 639: | Line 717: | ||
Badness: 0.020293 | Badness: 0.020293 | ||
===== Meanenneadecoid ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 34/33, 45/44, 51/50, 56/55, 78/77 | |||
Mapping: [{{val|1 0 -4 -13 -6 -20 -7}}, {{val|0 1 4 10 6 15 7}}] | |||
POTE generator: ~3/2 = 696.025 | |||
Optimal GPV sequence: {{Val list| 7dfg, 12f, 19g, 31eg, 50eegg }} | |||
Badness: 0.020171 | |||
====== 19-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 34/33, 45/44, 51/50, 56/55, 57/55, 78/77 | |||
Mapping: [{{val|1 0 -4 -13 -6 -20 -7 -10}}, {{val|0 1 4 10 6 15 7 9}}] | |||
POTE generator: ~3/2 = 696.121 | |||
Optimal GPV sequence: {{Val list| 7dfgh, 12f, 19gh, 31egh, 50eegghh }} | |||
Badness: 0.018045 | |||
==== Vincenzo ==== | ==== Vincenzo ==== | ||