Ragismic microtemperaments: Difference between revisions
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Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: 540/539, | Comma list: 540/539, 625/624, 729/728, 1375/1372 | ||
Mapping: [{{val|8 1 3 3 16 -21}}, {{val|0 3 4 5 3 13}}] | Mapping: [{{val|8 1 3 3 16 -21}}, {{val|0 3 4 5 3 13}}] | ||
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; Music | ; Music | ||
* [http://www.archive.org/details/Dreyfus http://www.archive.org/details/Dreyfus] [http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3 play] | * [http://www.archive.org/details/Dreyfus http://www.archive.org/details/Dreyfus] [http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3 play] | ||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 375/374, 540/539, 625/624, 715/714, 729/728 | |||
Mapping: [{{val|8 1 3 3 16 -21 -14}}, {{val|0 3 4 5 3 13 12}}] | |||
POTE generator: ~7/5 = 583.842 | |||
Vals: {{Val list| 72, 152fg, 224, 296, 520g }} | |||
Badness: 0.014304 | |||
Scales: [[Octoid72]], [[Octoid80]] | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 324/323, 375/374, 400/399, 495/494, 540/539, 715/714 | |||
Mapping: [{{val|8 1 3 3 16 -21 -14 34}}, {{val|0 3 4 5 3 13 12 0}}] | |||
POTE generator: ~7/5 = 583.932 | |||
Vals: {{Val list| 72, 152fg, 224 }} | |||
Badness: 0.016036 | |||
Scales: [[Octoid72]], [[Octoid80]] | |||
=== Octopus === | === Octopus === | ||
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Scales: [[Octoid72]], [[Octoid80]] | Scales: [[Octoid72]], [[Octoid80]] | ||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 169/168, 221/220, 289/288, 325/324, 540/539 | |||
Mapping: [{{val|8 1 3 3 16 14 21}}, {{val|0 3 4 5 3 4 3}}] | |||
POTE generator: ~7/5 = 583.811 | |||
Vals: {{Val list| 72, 152, 224fg, 296ffg }} | |||
Badness: 0.015614 | |||
Scales: [[Octoid72]], [[Octoid80]] | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 169/168, 221/220, 286/285, 289/288, 325/324, 400/399 | |||
Mapping: [{{val|8 1 3 3 16 14 21 34}}, {{val|0 3 4 5 3 4 3 0}}] | |||
POTE generator: ~7/5 = 584.064 | |||
Vals: {{Val list| 72, 152, 224fg, 376ffgh }} | |||
Badness: 0.016321 | |||
Scales: [[Octoid72]], [[Octoid80]] | |||
=== Hexadecoid === | |||
Hexadecoid (80&144) has a period of 1/16 octave and tempers out 4225/4224. | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 540/539, 1375/1372, 4000/3993, 4225/4224 | |||
Mapping: [{{val|16 26 38 46 56 59}}, {{val|0 -3 -4 -5 -3 1}}] | |||
POTE generator: ~13/8 = 841.015 | |||
Vals: {{Val list| 80, 144, 224 }} | |||
Badness: 0.030818 | |||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 540/539, 715/714, 936/935, 4000/3993, 4225/4224 | |||
Mapping: [{{val|16 26 38 46 56 59 65}}, {{val|0 -3 -4 -5 -3 1 2}}] | |||
POTE generator: ~13/8 = 840.932 | |||
Vals: {{Val list| 80, 144, 224, 528dg }} | |||
Badness: 0.028611 | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 400/399, 540/539, 715/714, 936/935, 1331/1330, 1445/1444 | |||
Mapping: [{{val|16 26 38 46 56 59 65 68}}, {{val|0 -3 -4 -5 -3 1 2 0}}] | |||
POTE generator: ~13/8 = 840.896 | |||
Vals: {{Val list| 80, 144, 224, 304dh, 528dghh }} | |||
Badness: 0.023731 | |||
== Amity == | == Amity == | ||