Schismatic family: Difference between revisions
Correction (pontiac's 7-limit normal comma isn't the nanisma) |
|||
| Line 1,638: | Line 1,638: | ||
Optimal tuning (POTE): ~2 = 1\1, ~256/231 = 175.406 | Optimal tuning (POTE): ~2 = 1\1, ~256/231 = 175.406 | ||
{{Optimal ET sequence | Optimal ET sequence: {{Optimal ET sequence| 41, 89, 130, 301e, 431e }} | ||
Badness: 0.029306 | Badness: 0.029306 | ||
| Line 1,651: | Line 1,651: | ||
Optimal tuning (POTE): ~2 = 1\1, ~72/65 = 175.409 | Optimal tuning (POTE): ~2 = 1\1, ~72/65 = 175.409 | ||
{{Optimal ET sequence | Optimal ET sequence: {{Optimal ET sequence| 41, 89, 130, 301e, 431e }} | ||
Badness: 0.022396 | Badness: 0.022396 | ||
===== Sesquartia ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 243/242, 364/363, 441/440, 595/594, 3584/3575 | |||
Mapping: {{mapping| 1 1 7 5 2 -2 -6 | 0 4 -32 -15 10 39 69 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~72/65 = 175.424 | |||
Optimal ET sequence: {{Optimal ET sequence| 41, 89g, 130, 171, 301e }} | |||
Badness: 0.023126 | |||
====== 19-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 243/242, 361/360, 364/363, 441/440, 456/455, 595/594 | |||
Mapping: {{mapping| 1 1 7 5 2 -2 -6 6 | 0 4 -32 -15 10 39 69 -12 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~21/19 = 175.419 | |||
Optimal ET sequence: {{Optimal ET sequence| 41, 89g, 130, 171, 301eh }} | |||
Badness: 0.020466 | |||
====== 23-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19.23 | |||
Comma list: 243/242, 323/322, 361/360, 364/363, 441/440, 456/455, 595/594 | |||
Mapping: {{mapping| 1 1 7 5 2 -2 -6 6 -6 | 0 4 -32 -15 10 39 69 -12 72 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~21/19 = 175.412 | |||
Optimal ET sequence: {{Optimal ET sequence| 41i, 89gi, 130, 171, 301eh }} | |||
Badness: 0.019043 | |||
===== Heartia ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 243/242, 256/255, 273/272, 364/363, 441/440 | |||
Mapping: {{mapping| 1 1 7 5 2 -2 0 | 0 4 -32 -15 10 39 28 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~72/65 = 175.386 | |||
Optimal ET sequence: {{Optimal ET sequence| 41, 89, 130g }} | |||
Badness: 0.028443 | |||
====== 19-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 171/170, 243/242, 256/255, 273/272, 324/323, 441/440 | |||
Mapping: {{mapping| 1 1 7 5 2 -2 0 6 | 0 4 -32 -15 10 39 28 -12 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~21/19 = 175.380 | |||
Optimal ET sequence: {{Optimal ET sequence| 41, 89, 130g }} | |||
Badness: 0.023059 | |||
===== Hearty ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 221/220, 243/242, 364/363, 441/440, 1632/1625 | |||
Mapping: {{mapping| 1 1 7 5 2 -2 13 | 0 4 -32 -15 10 39 -61 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~72/65 = 175.377 | |||
Optimal ET sequence: {{Optimal ET sequence| 41g, 89, 130, 609ceefgg }} | |||
Badness: 0.030680 | |||
====== 19-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 221/220, 243/242, 361/360, 364/363, 441/440, 456/455 | |||
Mapping: {{mapping| 1 1 7 5 2 -2 13 6 | 0 4 -32 -15 10 39 -61 -12 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~21/19 = 175.377 | |||
Optimal ET sequence: {{Optimal ET sequence| 41g, 89, 130, 609ceefggh }} | |||
Badness: 0.022816 | |||
====== 23-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19.23 | |||
Comma list: 221/220, 243/242, 276/275, 323/322, 361/360, 364/363, 441/440 | |||
Mapping: {{mapping| 1 1 7 5 2 -2 13 6 13 | 0 4 -32 -15 10 39 -61 -12 -58 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~21/19 = 175.376 | |||
Optimal ET sequence: {{Optimal ET sequence| 41g, 89, 130, 609ceefggh }} | |||
Badness: 0.019121 | |||
=== Bisesqui === | === Bisesqui === | ||