Catalog of rank-4 temperaments: Difference between revisions
+ argyric and chrysic |
Move quartismic here |
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Badness (Sintel): 2.63 | Badness (Sintel): 2.63 | ||
== Quartismic (117440512/117406179) == | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 117440512/117406179 | |||
{{Mapping|legend=1| 1 0 0 1 5 | 0 1 0 1 -1 | 0 0 1 0 0 | 0 0 0 5 1 }} | |||
: mapping generators: ~2, ~3, ~5, ~33/32 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1199.9875{{c}}, ~3/2 = 701.9753{{c}}, ~5/4 = 386.3387{{c}}, ~33/32 = 53.3743{{c}} | |||
: [[error map]]: {{val| -0.012 +0.008 -0.000 -0.004 +0.031 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9802{{c}}, ~5/4 = 386.3343{{c}}, ~33/32 = 53.3730{{c}} | |||
: error map: {{val| 0.000 +0.025 +0.021 +0.019 +0.075 }} | |||
{{Optimal ET sequence|legend=1| 21, 22, 43, 46, 65d, 68, 89, 111, 159, 202, 224, 270, 494, 742, 764, 966, 1236, 1506, 2159, 2653, 3125, 3395, 7060, 7554, 10949e, 14614e, 15850ee, 22168bdee, 23404bcdee, 26799bcdeee, 34353bcdeeee }} | |||
[[Badness]] (Sintel): 5.00 | |||
=== Tridecimal quartismic === | |||
[[Subgroup]]: 2.3.5.7.11.13 | |||
[[Comma list]]: 6656/6655, 123201/123200 | |||
{{Mapping|legend=1| 1 0 0 1 5 6 | 0 1 0 1 -1 -3 | 0 0 1 0 0 1 | 0 0 0 5 1 3 }} | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1199.9884{{c}}, ~3/2 = 701.9674{{c}}, ~5/4 = 386.3432{{c}}, ~33/32 = 53.3763{{c}} | |||
: [[error map]]: {{val| -0.012 +0.001 +0.006 -0.000 +0.045 -0.016 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9728{{c}}, ~5/4 = 386.3385{{c}}, ~33/32 = 53.3748{{c}} | |||
: error map: {{val| 0.000 +0.018 +0.025 +0.021 +0.084 +0.017 }} | |||
{{Optimal ET sequence|legend=1| 22, 43f, 46, 65d, 89f, 111, 159, 224, 270, 494, 764, 1012, 1236, 1506, 2901, 3125, 3395, 8026e, 8296e, 11421e, 11691e, 12927e, 13421e, 16322ee, 16816dee }} | |||
[[Badness]] (Sintel): 0.456 | |||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||