Gamelismic clan: Difference between revisions
m balad |
added 17- and 19-limit extensions of mothra |
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| Line 129: | Line 129: | ||
[[Badness]] (Smith): 0.037146 | [[Badness]] (Smith): 0.037146 | ||
Badness (Dirichlet): 0.940 | |||
=== 11-limit === | === 11-limit === | ||
| Line 144: | Line 145: | ||
Badness (Smith): 0.025642 | Badness (Smith): 0.025642 | ||
Badness (Dirichlet): 0.848 | |||
==== 13-limit ==== | ==== 13-limit ==== | ||
| Line 159: | Line 161: | ||
Badness (Smith): 0.023954 | Badness (Smith): 0.023954 | ||
Badness (Dirichlet): 0.990 | |||
; Music | ; Music | ||
* ''Prelude for solo piano'' (2014) by [[Chris Vaisvil]] – [https://web.archive.org/web/20201127013310/http://micro.soonlabel.com/16-ET/mothra/20141028_mothra16br4.mp3 play] | [https://www.chrisvaisvil.com/prelude-for-solo-piano-in-mothra16-brat-4-tuning/ blog] – in Mothra[16], brat 4 tuning | * ''Prelude for solo piano'' (2014) by [[Chris Vaisvil]] – [https://web.archive.org/web/20201127013310/http://micro.soonlabel.com/16-ET/mothra/20141028_mothra16br4.mp3 play] | [https://www.chrisvaisvil.com/prelude-for-solo-piano-in-mothra16-brat-4-tuning/ blog] – in Mothra[16], brat 4 tuning | ||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 81/80, 99/98, 105/104, 120/119, 144/143 | |||
Mapping: {{mapping| 1 1 0 3 5 1 | 0 3 12 -1 -8 14 16 }} | |||
Optimal tunings: | |||
* CTE: ~2 = 1200.000, ~8/7 = 231.891 | |||
* POTE: ~2 = 1200.000, ~8/7 = 231.708 | |||
{{Optimal ET sequence|legend=0| 5g, 26, 31, 57, 88 }} | |||
Badness (Dirichlet): 1.001 | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 81/80, 99/98, 105/104, 120/119, 144/143, 153/152 | |||
Mapping: {{mapping| 1 1 0 3 5 1 | 0 3 12 -1 -8 14 16 22 }} | |||
Optimal tunings: | |||
* CTE: ~2 = 1200.000, ~8/7 = 231.837 | |||
* POTE: ~2 = 1200.000, ~8/7 = 231.653 | |||
{{Optimal ET sequence|legend=0| 5gh, 26, 31, 57 }} | |||
Badness (Dirichlet): 1.053 | |||
=== Mosura === | === Mosura === | ||
| Line 179: | Line 212: | ||
Badness (Smith): 0.031334 | Badness (Smith): 0.031334 | ||
Badness (Dirichlet): 1.036 | |||
==== 13-limit ==== | ==== 13-limit ==== | ||
| Line 194: | Line 228: | ||
Badness (Smith): 0.036857 | Badness (Smith): 0.036857 | ||
Badness (Dirichlet): 1.523 | |||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 81/80, 144/143, 176/175, 189/187, 196/195 | |||
Mapping: {{mapping| 1 1 0 3 -1 7 | 0 3 12 -1 23 -17 -15 }} | |||
Optimal tunings: | |||
* CTE: ~2 = 1200.000, ~8/7 = 232.681 | |||
* POTE: ~2 = 1200.000, ~8/7 = 232.693 | |||
{{Optimal ET sequence|legend=0| 31, 67, 98 }} | |||
Badness (Dirichlet): 1.527 | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 81/80, 96/95, 144/143, 153/152, 176/175, 196/195 | |||
Mapping: {{mapping| 1 1 0 3 -1 7 | 0 3 12 -1 23 -17 -15 -9 }} | |||
Optimal tunings: | |||
* CTE: ~2 = 1200.000, ~8/7 = 232.717 | |||
* POTE: ~2 = 1200.000, ~8/7 = 232.730 | |||
{{Optimal ET sequence|legend=0| 31, 67, 98h }} | |||
Badness (Dirichlet): 1.496 | |||
=== Cynder === | === Cynder === | ||