Septiennealimmal clan: Difference between revisions
m →Ennealimmal: update |
m Text replacement - "Subgroup-val mapping: {{mapping| " to "{{Mapping|legend=2| " Tags: Mobile edit Mobile web edit |
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[[Comma list]]: 40353607/40310784 | [[Comma list]]: 40353607/40310784 | ||
{{Mapping|legend= | {{Mapping|legend=3| 9 0 11 | 0 1 1 }} | ||
: mapping generators: ~2592/2401, ~3 | : mapping generators: ~2592/2401, ~3 | ||
| Line 35: | Line 35: | ||
Comma list: 41503/41472, 43923/43904 | Comma list: 41503/41472, 43923/43904 | ||
{{Mapping|legend=2| 9 0 11 24 | 0 2 2 1 }} | |||
: mapping generators: ~121/112, ~343/198 | : mapping generators: ~121/112, ~343/198 | ||
| Line 89: | Line 89: | ||
Comma list: 2401/2400, 4375/4374, 5632/5625 | Comma list: 2401/2400, 4375/4374, 5632/5625 | ||
{{Mapping|legend=0| 9 1 1 12 -75 | 0 2 3 2 16 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 104: | Line 104: | ||
Comma list: 2080/2079, 2401/2400, 4375/4374, 5632/5625 | Comma list: 2080/2079, 2401/2400, 4375/4374, 5632/5625 | ||
{{Mapping|legend=0| 9 1 1 12 -75 -106 | 0 2 3 2 16 21 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 113: | Line 113: | ||
Badness (Sintel): 0.912 | Badness (Sintel): 0.912 | ||
===== 2.3.5.7.11.13.19 subgroup ===== | |||
Subgroup: 2.3.5.7.11.13.19 | |||
Comma list: 1216/1215, 1540/1539, 2080/2079, 2376/2375, 2401/2400 | |||
{{Mapping|legend=2| 9 1 1 12 -75 -106 -48 | 0 2 3 2 16 21 13 }} | |||
Optimal tunings: | |||
* WE: ~27/25 = 133.3209{{c}}, ~5/3 = 884.3968{{c}} (~36/35 = 48.8494{{c}}) | |||
* CWE: ~27/25 = 133.3333{{c}}, ~5/3 = 884.4722{{c}} (~36/35 = 48.8612{{c}}) | |||
{{Optimal ET sequence|legend=0| 99ef, 171ef, 270, 639h, 909h, 1179h }} | |||
Badness (Sintel): 0.684 | |||
==== Enneabio ==== | ==== Enneabio ==== | ||
| Line 119: | Line 134: | ||
Comma list: 1001/1000, 1716/1715, 4096/4095, 4375/4374 | Comma list: 1001/1000, 1716/1715, 4096/4095, 4375/4374 | ||
{{Mapping|legend=0| 9 1 1 12 -75 93 | 0 2 3 2 16 -9 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 134: | Line 149: | ||
Comma list: 715/714, 1001/1000, 1716/1715, 4096/4095, 4375/4374 | Comma list: 715/714, 1001/1000, 1716/1715, 4096/4095, 4375/4374 | ||
{{Mapping|legend=0| 9 1 1 12 -75 93 -3 | 0 2 3 2 16 -9 6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 149: | Line 164: | ||
Comma list: 715/714, 1001/1000, 1216/1215, 1716/1715, 4096/4095, 4375/4374 | Comma list: 715/714, 1001/1000, 1216/1215, 1716/1715, 4096/4095, 4375/4374 | ||
{{Mapping|legend=0| 9 1 1 12 -75 93 -3 -48 | 0 2 3 2 16 -9 6 13 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 166: | Line 181: | ||
Comma list: 2401/2400, 4375/4374, 131072/130977 | Comma list: 2401/2400, 4375/4374, 131072/130977 | ||
{{Mapping|legend=0| 9 1 1 12 124 | 0 2 3 2 -14 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 181: | Line 196: | ||
Comma list: 2080/2079, 2401/2400, 4096/4095, 4375/4374 | Comma list: 2080/2079, 2401/2400, 4096/4095, 4375/4374 | ||
{{Mapping|legend=0| 9 1 1 12 124 93 | 0 2 3 2 -14 -9 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 196: | Line 211: | ||
Comma list: 936/935, 1225/1224, 1701/1700, 2401/2400, 4096/4095 | Comma list: 936/935, 1225/1224, 1701/1700, 2401/2400, 4096/4095 | ||
{{Mapping|legend=0| 9 1 1 12 124 93 -3 | 0 2 3 2 -14 -9 6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 211: | Line 226: | ||
Comma list: 936/935, 1216/1215, 1225/1224, 1701/1700, 1729/1728, 2401/2400 | Comma list: 936/935, 1216/1215, 1225/1224, 1701/1700, 1729/1728, 2401/2400 | ||
{{Mapping|legend=0| 9 1 1 12 124 93 -3 -48 | 0 2 3 2 -14 -9 6 13 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 231: | Line 246: | ||
Comma list: 243/242, 441/440, 4375/4356 | Comma list: 243/242, 441/440, 4375/4356 | ||
{{Mapping|legend=0| 9 1 1 12 -2 | 0 2 3 2 5 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 250: | Line 265: | ||
Comma list: 243/242, 364/363, 441/440, 625/624 | Comma list: 243/242, 364/363, 441/440, 625/624 | ||
{{Mapping|legend=0| 9 1 1 12 -2 -33 | 0 2 3 2 5 10 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 269: | Line 284: | ||
Comma list: 243/242, 364/363, 375/374, 441/440, 595/594 | Comma list: 243/242, 364/363, 375/374, 441/440, 595/594 | ||
{{Mapping|legend=0| 9 1 1 12 -2 -33 -3 | 0 2 3 2 5 10 6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 288: | Line 303: | ||
Comma list: 243/242, 364/363, 375/374, 441/440, 513/512, 595/594 | Comma list: 243/242, 364/363, 375/374, 441/440, 513/512, 595/594 | ||
{{Mapping|legend=0| 9 1 1 12 -2 -33 -3 78 | 0 2 3 2 5 10 6 -6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 303: | Line 318: | ||
Comma list: 169/168, 243/242, 325/324, 441/440 | Comma list: 169/168, 243/242, 325/324, 441/440 | ||
{{Mapping|legend=0| 9 1 1 12 -2 20 | 0 2 3 2 5 2 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 318: | Line 333: | ||
Comma list: 169/168, 221/220, 243/242, 325/324, 441/440 | Comma list: 169/168, 221/220, 243/242, 325/324, 441/440 | ||
{{Mapping|legend=0| 9 1 1 12 -2 20 -3 | 0 2 3 2 5 2 6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 333: | Line 348: | ||
Comma list: 169/168, 221/220, 243/242, 325/324, 441/440 | Comma list: 169/168, 221/220, 243/242, 325/324, 441/440 | ||
{{Mapping|legend=0| 9 1 1 12 -2 20 -3 25 | 0 2 3 2 5 2 6 2 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 348: | Line 363: | ||
Comma list: 385/384, 1375/1372, 4375/4374 | Comma list: 385/384, 1375/1372, 4375/4374 | ||
{{Mapping|legend=0| 9 1 1 12 51 | 0 2 3 2 -3 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 363: | Line 378: | ||
Comma list: 169/168, 325/324, 385/384, 1375/1372 | Comma list: 169/168, 325/324, 385/384, 1375/1372 | ||
{{Mapping|legend=0| 9 1 1 12 51 20 | 0 2 3 2 -3 2 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 378: | Line 393: | ||
Comma list: 169/168, 221/220, 325/324, 385/384, 1375/1372 | Comma list: 169/168, 221/220, 325/324, 385/384, 1375/1372 | ||
{{Mapping|legend=0| 9 1 1 12 51 20 50 | 0 2 3 2 -3 2 -2 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 393: | Line 408: | ||
Comma list: 153/152, 169/168, 221/220, 325/324, 385/384, 1375/1372 | Comma list: 153/152, 169/168, 221/220, 325/324, 385/384, 1375/1372 | ||
{{Mapping|legend=0| 9 1 1 12 51 20 50 25 | 0 2 3 2 -3 2 -2 2 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 410: | Line 425: | ||
Comma list: 2401/2400, 3025/3024, 4375/4374 | Comma list: 2401/2400, 3025/3024, 4375/4374 | ||
{{Mapping|legend=0| 18 0 -1 22 48 | 0 2 3 2 1 }} | |||
: mapping generators: ~80/77, ~400/231 | : mapping generators: ~80/77, ~400/231 | ||
| Line 430: | Line 445: | ||
Comma list: 676/675, 1001/1000, 1716/1715, 3025/3024 | Comma list: 676/675, 1001/1000, 1716/1715, 3025/3024 | ||
{{Mapping|legend=0| 18 0 -1 22 48 -19 | 0 2 3 2 1 6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 451: | Line 466: | ||
Comma list: 676/675, 715/714, 1001/1000, 1716/1715, 3025/3024 | Comma list: 676/675, 715/714, 1001/1000, 1716/1715, 3025/3024 | ||
{{Mapping|legend=0| 18 0 -1 22 48 -19 -12 | 0 2 3 2 1 6 6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 466: | Line 481: | ||
Comma list: 676/675, 715/714, 1001/1000, 1331/1330, 1716/1715, 3025/3024 | Comma list: 676/675, 715/714, 1001/1000, 1331/1330, 1716/1715, 3025/3024 | ||
{{Mapping|legend=0| 18 0 -1 22 48 -19 -12 48 105 | 0 2 3 2 1 6 6 -2 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 481: | Line 496: | ||
Comma list: 2401/2400, 3025/3024, 4225/4224, 4375/4374 | Comma list: 2401/2400, 3025/3024, 4225/4224, 4375/4374 | ||
{{Mapping|legend=0| 18 0 -1 22 48 88 | 0 4 6 4 2 -3 }} | |||
: mapping generators: ~80/77, ~1053/800 | : mapping generators: ~80/77, ~1053/800 | ||
| Line 497: | Line 512: | ||
Comma list: 2401/2400, 2431/2430, 3025/3024, 4225/4224, 4375/4374 | Comma list: 2401/2400, 2431/2430, 3025/3024, 4225/4224, 4375/4374 | ||
{{Mapping|legend=0| 18 0 -1 22 48 88 -119 | 0 4 6 4 2 -3 27 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 512: | Line 527: | ||
Comma list: 2401/2400, 2431/2430, 2926/2925, 3025/3024, 4225/4224, 4375/4374 | Comma list: 2401/2400, 2431/2430, 2926/2925, 3025/3024, 4225/4224, 4375/4374 | ||
{{Mapping|legend=0| 18 0 -1 22 48 88 -119 -2 | 0 4 6 4 2 -3 27 11 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 529: | Line 544: | ||
Comma list: 2401/2400, 4000/3993, 4375/4374 | Comma list: 2401/2400, 4000/3993, 4375/4374 | ||
{{Mapping|legend=0| 9 3 4 14 18 | 0 6 9 6 7 }} | |||
: mapping generators: ~27/25, ~140/121 | : mapping generators: ~27/25, ~140/121 | ||
| Line 545: | Line 560: | ||
Comma list: 1575/1573, 2080/2079, 2401/2400, 4375/4374 | Comma list: 1575/1573, 2080/2079, 2401/2400, 4375/4374 | ||
{{Mapping|legend=0| 9 3 4 14 18 -8 | 0 6 9 6 7 22 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 560: | Line 575: | ||
Comma list: 2401/2400, 4375/4374, 234375/234256 | Comma list: 2401/2400, 4375/4374, 234375/234256 | ||
{{Mapping|legend=0| 9 1 1 12 -7 | 0 8 12 8 23 }} | |||
: mapping generators: ~27/25, ~25/22 | : mapping generators: ~27/25, ~25/22 | ||
| Line 576: | Line 591: | ||
Comma list: 2401/2400, 4375/4374, 2097152/2096325 | Comma list: 2401/2400, 4375/4374, 2097152/2096325 | ||
{{Mapping|legend=0| 27 1 0 34 177 | 0 2 3 2 -4 }} | |||
: mapping generators: ~2744/2673, ~2352/1375 | : mapping generators: ~2744/2673, ~2352/1375 | ||
| Line 596: | Line 611: | ||
Comma list: 2401/2400, 4375/4374, 117440512/117406179 | Comma list: 2401/2400, 4375/4374, 117440512/117406179 | ||
{{Mapping|legend=0| 45 1 -1 56 226 | 0 2 3 2 -2 }} | |||
: mapping generators: ~3072/3025, ~55/32 | : mapping generators: ~3072/3025, ~55/32 | ||
| Line 612: | Line 627: | ||
Comma list: 2401/2400, 4225/4224, 4375/4374, 6656/6655 | Comma list: 2401/2400, 4225/4224, 4375/4374, 6656/6655 | ||
{{Mapping|legend=0| 45 1 -1 56 226 272 | 0 2 3 2 -2 -3 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 647: | Line 662: | ||
Comma list: 352/351, 847/845, 2401/2400, 3136/3125 | Comma list: 352/351, 847/845, 2401/2400, 3136/3125 | ||
{{Mapping|legend=0| 99 157 230 278 0 24 | 0 0 0 0 1 1 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 680: | Line 695: | ||
Comma list: 625/624, 729/728, 2205/2197, 2401/2400 | Comma list: 625/624, 729/728, 2205/2197, 2401/2400 | ||
{{Mapping|legend=0| 171 271 397 480 0 633 | 0 0 0 0 1 0 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 695: | Line 710: | ||
Comma list: 625/624, 729/728, 833/832, 1225/1224, 2205/2197 | Comma list: 625/624, 729/728, 833/832, 1225/1224, 2205/2197 | ||
{{Mapping|legend=0| 171 271 397 480 0 633 699 | 0 0 0 0 1 0 0 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 710: | Line 725: | ||
Comma list: 2080/2079, 2401/2400, 4375/4374, 32805/32768 | Comma list: 2080/2079, 2401/2400, 4375/4374, 32805/32768 | ||
{{Mapping|legend=0| 171 271 397 480 0 41 | 0 0 0 0 1 1 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 725: | Line 740: | ||
Comma list: 936/935, 1225/1224, 1701/1700, 2025/2023, 11271/11264 | Comma list: 936/935, 1225/1224, 1701/1700, 2025/2023, 11271/11264 | ||
{{Mapping|legend=0| 171 271 397 480 0 41 699 | 0 0 0 0 1 1 0 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 758: | Line 773: | ||
Comma list: 2401/2400, 4096/4095, 4375/4374, 85750/85683 | Comma list: 2401/2400, 4096/4095, 4375/4374, 85750/85683 | ||
{{Mapping|legend=0| 441 699 1024 1238 1526 1632 | 0 0 0 0 -1 0 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 773: | Line 788: | ||
Comma list: 2401/2400, 4096/4095, 4375/4374, 8624/8619, 14161/14157 | Comma list: 2401/2400, 4096/4095, 4375/4374, 8624/8619, 14161/14157 | ||
{{Mapping|legend=0| 441 699 1024 1238 1526 1632 1803 | 0 0 0 0 -1 0 -1 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 793: | Line 808: | ||
Comma list: 169/168, 31213/31104 | Comma list: 169/168, 31213/31104 | ||
{{Mapping|legend=2| 9 0 11 19 | 0 1 1 1 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 805: | Line 820: | ||
[[Category:Septiennealimmal clan| ]] <!-- main article --> | [[Category:Septiennealimmal clan| ]] <!-- main article --> | ||
[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
[[Category:Catalogs of rank-2 temperaments]] | |||