Parakleismic family: Difference between revisions
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Badness (Sintel): 1.67 | Badness (Sintel): 1.67 | ||
== Paraguay == | |||
Named by [[Xenllium]] in 2026, paraguay tempers out [[12005/11664]] and may be described as the {{nowrap| 19 & 61 }} temperament. It is a variant of septimal parakleismic, mapping 7th harmonic to 16 generators. | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 126/125, 12005/11664 | |||
{{Mapping|legend=1| 1 -8 -8 -9 | 0 13 14 16 }} | |||
: mapping generators: ~2, ~5/3 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.6421{{c}}, ~5/3 = 885.3232{{c}} | |||
: [[error map]]: {{val| +0.642 +2.110 +3.074 -9.434 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/3 = 884.8949{{c}} | |||
: error map: {{val| 0.000 +1.678 +2.214 -10.508 }} | |||
{{Optimal ET sequence|legend=1| 19, 61, 80d, 99d }} | |||
[[Badness]] (Sintel): 2.47 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 56/55, 100/99, 12005/11664 | |||
Mapping: {{mapping| 1 -8 -8 -9 2 | 0 13 14 16 2 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1197.7783{{c}}, ~5/3 = 883.6140{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~5/3 = 885.1383{{c}} | |||
{{Optimal ET sequence|legend=0| 19, 42e, 61e }} | |||
Badness (Sintel): 2.49 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 56/55, 91/90, 100/99, 343/338 | |||
Mapping: {{mapping| 1 -8 -8 -9 2 -14 | 0 13 14 16 2 24 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1197.7848{{c}}, ~5/3 = 883.6431{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~5/3 = 885.1623{{c}} | |||
{{Optimal ET sequence|legend=0| 19, 42ef, 61e }} | |||
Badness (Sintel): 1.86 | |||
[[Category:Parakleismic family| ]] <!-- main article --> | [[Category:Parakleismic family| ]] <!-- main article --> | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||