Porwell temperaments: Difference between revisions
Edo lists reviewed; +categories; +links; formatting |
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Map: [<1 0 -31 52|, <0 1 21 -31|] | Map: [<1 0 -31 52|, <0 1 21 -31|] | ||
EDOs: {{ | EDOs: {{Val list| 46, 121, 167, 288b, 455bcd, 743bcd }} | ||
Badness: 0. | Badness: 0.137995 | ||
== 11-limit == | == 11-limit == | ||
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Map: [<1 0 -31 52 59|, <0 1 21 -31 -35|] | Map: [<1 0 -31 52 59|, <0 1 21 -31 -35|] | ||
EDOs: {{ | EDOs: {{Val list| 46, 121, 167, 288be, 455bcde }} | ||
Badness: 0. | Badness: 0.051131 | ||
== 13-limit == | == 13-limit == | ||
Line 235: | Line 235: | ||
Map: [<1 0 -31 52 59 64|, <0 1 21 -31 -35 -38|] | Map: [<1 0 -31 52 59 64|, <0 1 21 -31 -35 -38|] | ||
EDOs: {{ | EDOs: {{Val list| 46, 121, 167, 288be }} | ||
Badness: 0. | Badness: 0.030292 | ||
== 17-limit == | == 17-limit == | ||
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Map: [<1 0 -31 52 59 64 39|, <0 1 21 -31 -35 -38 -22|] | Map: [<1 0 -31 52 59 64 39|, <0 1 21 -31 -35 -38 -22|] | ||
EDOs: {{ | EDOs: {{Val list| 46, 121, 167, 288beg }} | ||
Badness: 0. | Badness: 0.019051 | ||
= Icositritonic = | |||
The ''icositritonic'' temperament (46&161, named by [[User:Xenllium|Xenllium]]) has a period of 1/23 octave, so six period represents [[6/5]] and nine period represents [[21/16]]. | |||
Commas: 6144/6125, 9920232/9765625 | |||
Map: [<23 37 54 64|, <0 -1 -1 1|] | |||
POTE generator: ~64/63 = 29.3586 | |||
EDOs: 23, 46, 69, 115, 161, 207 | |||
Badness: 0.196622 | |||
== 11-limit == | |||
Commas: 441/440, 6144/6125, 35937/35840 | |||
Map: [<23 37 54 64 79|, <0 -1 -1 1 1|] | |||
POTE generator: ~64/63 = 29.3980 | |||
EDOs: 23, 46, 69, 115, 161, 207 | |||
Badness: 0.064613 | |||
== 13-limit == | |||
Commas: 351/350, 441/440, 847/845, 3584/3575 | |||
Map: [<23 37 54 64 79 84|, <0 -1 -1 1 1 2|] | |||
POTE generator: ~64/63 = 29.2830 | |||
EDOs: 46, 115, 161, 207 | |||
Badness: 0.040484 | |||
== 17-limit == | |||
Commas: 351/350, 441/440, 561/560, 847/845, 1089/1088 | |||
Map: [<23 37 54 64 79 84 94|, <0 -1 -1 1 1 2 0|] | |||
POTE generator: ~64/63 = 29.2800 | |||
EDOs: 46, 115, 161, 207 | |||
Badness: 0.024676 | |||
== 19-limit == | |||
Commas: 351/350, 441/440, 456/455, 476/475, 513/512, 847/845 | |||
Map: [<23 37 54 64 79 84 94 96|, <0 -1 -1 1 1 2 0 3|] | |||
POTE generator: ~64/63 = 29.3760 | |||
EDOs: 46, 115, 161, 207 | |||
Badness: 0.021579 | |||
== 23-limit == | |||
Commas: 276/275, 351/350, 391/390, 441/440, 456/455, 476/475, 847/845 | |||
Map: [<23 37 54 64 79 84 94 96 104|, <0 -1 -1 1 1 2 0 3 0|] | |||
POTE generator: ~64/63 = 29.3471 | |||
EDOs: 46, 115, 161, 207 | |||
Badness: 0.017745 | |||
[[Category:Theory]] | [[Category:Theory]] |