No-twos subgroup temperaments: Difference between revisions
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Classified by focusing on the mapping of 5th harmonic, similar to [[Rank-2 temperaments by mapping of 3]]. | Classified by focusing on the mapping of 5th harmonic, similar to [[Rank-2 temperaments by mapping of 3]]. | ||
* Arcturus, antares, aldebaran and polaris have a 3/1 period and ~5/3 generator. There is one-to-one correspondence between the 3.5 subgroup and mapped intervals. | * Arcturus, antares, aldebaran, delta centauri and polaris have a 3/1 period and ~5/3 generator. There is one-to-one correspondence between the [[3.5 subgroup]] and mapped intervals. | ||
* BPS has a ~9/7 generator, two of which give the ~5/3. | * BPS has a ~9/7 generator, two of which give the ~5/3. | ||
* Sirius has a ~25/21 generator, three of which give the ~5/3. | * Sirius has a ~25/21 generator, three of which give the ~5/3. | ||
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Badness (Sintel): 0.177 | Badness (Sintel): 0.177 | ||
== Vega == | |||
[[Subgroup]]: 3.5.7 | |||
[[Comma list]]: 6561/6125 | |||
{{Mapping|legend=3| 1 0 4 | 0 2 -3 }} | |||
: mapping generators: ~3, ~81/35 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~3 = 1891.9431{{c}}, ~81/35 = 1397.0975{{c}} | |||
: [[error map]]: {{val| -10.012 +7.881 +7.654 }} | |||
* [[CWE]]: ~3 = 1901.9550{{c}}, ~81/35 = 1404.6664{{c}} | |||
: error map: {{val| 0.000 +23.019 +24.995 }} | |||
[[Optimal ET sequence]]: [[4edt|b4]], [[11edt|b11d]], [[15edt|b15]], [[19edt|b19]], [[23edt|b23]], [[42edt|b42d]], [[65edt|b65cd]] | |||
[[Badness]] (Sintel): 1.34 | |||
== Sirius == | == Sirius == | ||