Hemimean family: Difference between revisions
→Hemimean: +semiorion |
+optimal tunings and review OGPV sequences |
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| Line 17: | Line 17: | ||
: 28/25 length = 0.5055, 3/2 length = 1.5849 | : 28/25 length = 0.5055, 3/2 length = 1.5849 | ||
: Angle (28/25, 3/2) = 90 degrees | : Angle (28/25, 3/2) = 90 degrees | ||
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.9550, ~28/25 = 193.6499 | |||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
| Line 23: | Line 25: | ||
: [[Eigenmonzo basis]]: 2.3.7 | : [[Eigenmonzo basis]]: 2.3.7 | ||
{{Val list|legend=1| 12, 19, 31, 68, 80, 87, 99, 217, 229, 328, 347, 446 | {{Val list|legend=1| 12, 19, 31, 68, 80, 87, 99, 217, 229, 328, 347, 446, 675c }} | ||
[[Badness]]: 0.160 × 10<sup>-3</sup> | [[Badness]]: 0.160 × 10<sup>-3</sup> | ||
| Line 103: | Line 105: | ||
: 28/25 length = 0.3829, 16/15 length = 1.1705 | : 28/25 length = 0.3829, 16/15 length = 1.1705 | ||
: Angle (28/25, 16/15) = 93.2696 | : Angle (28/25, 16/15) = 93.2696 | ||
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.7205, ~28/25 = 193.5545 | |||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
| Line 109: | Line 113: | ||
: [[Eigenmonzo basis]]: 2.9/7.11/5 | : [[Eigenmonzo basis]]: 2.9/7.11/5 | ||
{{Val list|legend=1| 12, 19e, 31, 87, 99e, 118, 130, 217, 248 | {{Val list|legend=1| 12, 19e, 31, 68e, 87, 99e, 118, 130, 217, 248 }} | ||
[[Badness]]: 0.609 × 10<sup>-3</sup> | [[Badness]]: 0.609 × 10<sup>-3</sup> | ||
| Line 123: | Line 127: | ||
Mapping: [{{val| 1 0 0 -3 -9 15 }}, {{val| 0 1 0 0 2 -2 }}, {{val| 0 0 2 5 8 -7 }}] | Mapping: [{{val| 1 0 0 -3 -9 15 }}, {{val| 0 1 0 0 2 -2 }}, {{val| 0 0 2 5 8 -7 }}] | ||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.8219, ~28/25 = 193.5816 | |||
Optimal GPV sequence: {{Val list| 31, 43, 56, 74, 87, 118, 130, 217, 248, 347e, 378, 465, 595e }} | Optimal GPV sequence: {{Val list| 31, 43, 56, 74, 87, 118, 130, 217, 248, 347e, 378, 465, 595e }} | ||
| Line 133: | Line 139: | ||
Comma list: 196/195, 352/351, 625/624 | Comma list: 196/195, 352/351, 625/624 | ||
Mapping: [{{val| 0 0 -3 -9 -4 }}, {{val| 0 1 0 0 2 -1 }}, {{val| 0 0 2 5 8 8 }}] | Mapping: [{{val| 1 0 0 -3 -9 -4 }}, {{val| 0 1 0 0 2 -1 }}, {{val| 0 0 2 5 8 8 }}] | ||
Optimal GPV sequence: {{Val list| 12f, 19e, 31, 56, 68e, 87, 118, 205d | Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.5667, ~28/25 = 193.2493 | ||
Optimal GPV sequence: {{Val list| 12f, 19e, 31, 56, 68e, 87, 118, 186ef, 205d }} | |||
Badness: 1.26 × 10<sup>-3</sup> | Badness: 1.26 × 10<sup>-3</sup> | ||
| Line 146: | Line 154: | ||
[[Mapping]]: [{{val| 1 0 0 -3 8 }}, {{val| 0 1 0 0 3 }}, {{val| 0 0 2 5 -8 }}] | [[Mapping]]: [{{val| 1 0 0 -3 8 }}, {{val| 0 1 0 0 3 }}, {{val| 0 0 2 5 -8 }}] | ||
Mapping generators: ~2, ~3, ~ | Mapping generators: ~2, ~3, ~56/25 | ||
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.1636, ~28/25 = 193.8645 | |||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
| Line 153: | Line 163: | ||
: [[Eigenmonzo basis]]: 2.3.11/10 | : [[Eigenmonzo basis]]: 2.3.11/10 | ||
{{Val list|legend=1| 12e, 19, 31, 68e, 80, 99e, 130, 241, 340ce, 371ce, | {{Val list|legend=1| 12e, 18e, 19, 31, 68e, 80, 99e, 130, 210e, 241, 340ce, 371ce, 470cdee, 501cde, 581cdee, 711ccdee }} | ||
[[Badness]]: 0.870 × 10<sup>-3</sup> | [[Badness]]: 0.870 × 10<sup>-3</sup> | ||
| Line 166: | Line 176: | ||
Mapping generators: ~2, ~3, ~18/11 | Mapping generators: ~2, ~3, ~18/11 | ||
{{Val list|legend=1| 31, 80, 87, 111, 118, 198, 316, 545c | [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.2875, ~18/11 = 854.3132 | ||
{{Val list|legend=1| 24d, 31, 80, 87, 111, 118, 198, 316, 514c, 545c }} | |||
[[Badness]]: 0.819 × 10<sup>-3</sup> | [[Badness]]: 0.819 × 10<sup>-3</sup> | ||