Gamelismic family: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
m Cleanup |
||
| Line 2: | Line 2: | ||
== Gamelan == | == Gamelan == | ||
{{Main| Portent }} | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 36: | Line 37: | ||
== Portent == | == Portent == | ||
{{Main| Portent }} | |||
Portent has a [[Normal lists #normal interval list|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. | Portent has a [[Normal lists #normal interval list|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. | ||
| Line 68: | Line 71: | ||
=== Portending === | === Portending === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 77: | Line 79: | ||
POTE generators: ~8/7 = 233.9128, ~5/4 = 384.7278 | POTE generators: ~8/7 = 233.9128, ~5/4 = 384.7278 | ||
{{ | Optimal GPV sequence: {{val list| 15, 26, 41, 46, 72, 87, 159, 477cdf }} | ||
Badness: 0.627 × 10<sup>-3</sup> | Badness: 0.627 × 10<sup>-3</sup> | ||
=== Portentous === | === Portentous === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 91: | Line 92: | ||
POTE generators: ~8/7 = 233.6843, ~5/4 = 384.9830 | POTE generators: ~8/7 = 233.6843, ~5/4 = 384.9830 | ||
{{ | Optimal GPV sequence: {{val list| 15, 31, 56, 72, 87, 103, 159, 190, 262df, 349f, 452cdef, 611cdef }} | ||
Badness: 0.662 × 10<sup>-3</sup> | Badness: 0.662 × 10<sup>-3</sup> | ||
=== Ominous === | === Ominous === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 105: | Line 105: | ||
POTE generators: ~8/7 = 233.4088, ~5/4 = 385.3825 | POTE generators: ~8/7 = 233.4088, ~5/4 = 385.3825 | ||
{{ | Optimal GPV sequence: {{val list| 26, 31, 46, 72, 103, 149, 221ef, 324bdef, 473bdef }} | ||
Badness: 0.751 × 10<sup>-3</sup> | Badness: 0.751 × 10<sup>-3</sup> | ||
==== 17-limit ==== | ==== 17-limit ==== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 132: | Line 131: | ||
: Eigenmonzos (unchanged intervals): 2, 13/11, 11/9 | : Eigenmonzos (unchanged intervals): 2, 13/11, 11/9 | ||
{{ | Optimal GPV sequence: {{val list| 26, 31, 46, 72, 103, 149, 175f, 221ef }} | ||
Badness: 0.612 × 10<sup>-3</sup> | Badness: 0.612 × 10<sup>-3</sup> | ||
=== Momentous === | === Momentous === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 146: | Line 144: | ||
POTE generators: ~8/7 = 233.4088, ~5/4 = 385.3825 | POTE generators: ~8/7 = 233.4088, ~5/4 = 385.3825 | ||
{{ | Optimal GPV sequence: {{val list| 10, 31, 41, 46, 77, 87, 118, 164, 205d, 574def }} | ||
Badness: 0.832 × 10<sup>-3</sup> | Badness: 0.832 × 10<sup>-3</sup> | ||
=== Foreboding === | === Foreboding === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 160: | Line 157: | ||
POTE generators: ~8/7 = 233.3664, ~5/4 = 382.3425 | POTE generators: ~8/7 = 233.3664, ~5/4 = 382.3425 | ||
{{ | Optimal GPV sequence: {{val list| 5, 10, 15, 26, 31, 41, 72f, 185cf }} | ||
Badness: 0.873 × 10<sup>-3</sup> | Badness: 0.873 × 10<sup>-3</sup> | ||
| Line 173: | Line 170: | ||
POTE generators: ~8/7 = 233.6434, ~14/13 = 128.3440 | POTE generators: ~8/7 = 233.6434, ~14/13 = 128.3440 | ||
Optimal GPV sequence: {{val list| 10, 36e, 46, 93e, 102, 103, 149, 159, 262df, 570ddeff, 832bcdddeefff }} | |||
Badness: 1.783 × 10<sup>-3</sup> | Badness: 1.783 × 10<sup>-3</sup> | ||
| Line 186: | Line 183: | ||
POTE generators: ~8/7 = 233.6803, ~14/13 = 128.4149 | POTE generators: ~8/7 = 233.6803, ~14/13 = 128.4149 | ||
Optimal GPV sequence: {{val list| 10, 36e, 46, 93e, 102, 103, 149, 159, 262df, 308def }} | |||
Badness: 1.303 × 10<sup>-3</sup> | Badness: 1.303 × 10<sup>-3</sup> | ||
== Gamel == | == Gamel == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 207: | Line 203: | ||
[[Category:Gamelismic family| ]] <!-- main article --> | [[Category:Gamelismic family| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||