Minortone family: Difference between revisions
Hemidomain -> semidomain; 13-limit ore -> orefield (see talk) |
m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| " |
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Comma list: 441/440, 4375/4374, 16384/16335 | Comma list: 441/440, 4375/4374, 16384/16335 | ||
{{Mapping|legend=0| 1 -1 -3 6 10 | 0 17 35 -21 -43 }} | |||
Optimal tuning: | Optimal tuning: | ||
| Line 63: | Line 63: | ||
Comma list: 364/363, 441/440, 3584/3575, 4375/4374 | Comma list: 364/363, 441/440, 3584/3575, 4375/4374 | ||
{{Mapping|legend=0| 1 -1 -3 6 10 11 | 0 17 35 -21 -43 -48 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 78: | Line 78: | ||
Comma list: 364/363, 441/440, 595/594, 1156/1155, 3584/3575 | Comma list: 364/363, 441/440, 595/594, 1156/1155, 3584/3575 | ||
{{Mapping|legend=0| 1 -1 -3 6 10 11 5 | 0 17 35 -21 -43 -48 -6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 93: | Line 93: | ||
Comma list: 385/384, 1331/1323, 4375/4374 | Comma list: 385/384, 1331/1323, 4375/4374 | ||
{{Mapping|legend=0| 1 -1 -3 6 3 | 0 17 35 -21 3 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 108: | Line 108: | ||
Comma list: 169/168, 325/324, 385/384, 1331/1323 | Comma list: 169/168, 325/324, 385/384, 1331/1323 | ||
{{Mapping|legend=0| 1 -1 -3 6 3 4 | 0 17 35 -21 3 -2 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 123: | Line 123: | ||
Comma list: 169/168, 273/272, 325/324, 385/384, 1331/1323 | Comma list: 169/168, 273/272, 325/324, 385/384, 1331/1323 | ||
{{Mapping|legend=0| 1 -1 -3 6 3 4 5 | 0 17 35 -21 3 -2 -6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 138: | Line 138: | ||
Comma list: 352/351, 385/384, 1331/1323, 3267/3250 | Comma list: 352/351, 385/384, 1331/1323, 3267/3250 | ||
{{Mapping|legend=0| 1 -1 -3 6 3 11 | 0 17 35 -21 3 -48 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 153: | Line 153: | ||
Comma list: 352/351, 385/384, 561/560, 715/714, 1452/1445 | Comma list: 352/351, 385/384, 561/560, 715/714, 1452/1445 | ||
{{Mapping|legend=0| 1 -1 -3 6 3 11 5 | 0 17 35 -21 3 -48 -6 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 168: | Line 168: | ||
Comma list: 3025/3024, 4375/4374, 2100875/2097152 | Comma list: 3025/3024, 4375/4374, 2100875/2097152 | ||
{{Mapping|legend=0| 2 -2 -6 12 13 | 0 17 35 -21 -20 }} | |||
Optimal tunings: | Optimal tunings: | ||
| Line 177: | Line 177: | ||
Badness (Sintel): 0.886 | Badness (Sintel): 0.886 | ||
==== 2.3.5.7.11.17 subgroup ==== | |||
Subgroup: 2.3.5.7.11.17 | |||
Comma list: 1089/1088, 1225/1224, 1701/1700, 262395/262144 | |||
{{Mapping|legend=0| 2 -2 -6 12 13 4 | 0 17 35 -21 -20 6 }} | |||
Optimal tunings: | |||
* WE: ~99/70 = 600.0371{{c}}, ~10/9 = 182.4699{{c}} | |||
* CWE: ~99/70 = 600.0000{{c}}, ~10/9 = 182.4589{{c}} | |||
{{Optimal ET sequence|legend=0| 46, 250, 296, 342, 1414de }} | |||
Badness (Sintel): 0.831 | |||
== Domain == | == Domain == | ||
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Comma list: 9801/9800, 151263/151250, 1771561/1771470 | Comma list: 9801/9800, 151263/151250, 1771561/1771470 | ||
{{Mapping|legend=0| 6 -6 -18 -16 -13 | 0 17 35 36 37 }} | |||
: mapping generators: ~55/49, ~10/9 | : mapping generators: ~55/49, ~10/9 | ||
| Line 214: | Line 229: | ||
Badness (Sintel): 0.360 | Badness (Sintel): 0.360 | ||
[[Category:Minortone family| ]] <!-- main article --> | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category: | [[Category:Catalogs of rank-2 temperaments]] | ||