Compton family: Difference between revisions
m Recategorize |
+ distinguish notices for duodecic and duodecim. Request completion of data |
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| Line 241: | Line 241: | ||
==== Duodecic ==== | ==== Duodecic ==== | ||
{{Distinguish|Duodecim}} | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 286: | Line 288: | ||
=== Paly === | === Paly === | ||
{{Todo|inline=1|complete section|unify precision|comment= Sort the comma basis. Normalize the mapping. Unify the cent values in optimal tunings to 4 decimal places. Add the optimal ET sequence. <br>Add the data for the 11-, 13-, and 17-limit versions. }} | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 81/80, 91/90, 51/50, 128/125, 76/75, 121/120 | |||
{{Mapping| 24 38 56 48 83 108 98 102 | 0 0 0 1 0 -1 0 0 }} | |||
* | Optimal tunings: | ||
* WE: ~33/32 = 49.994{{c}}, ~7/4 = 965.340{{c}} | |||
: error map: {{val| -0.144 -2.183 +13.350 -3.774 -1.816 -6.516 -5.543 +1.875 }} | |||
* CWE: ~33/32 = 50.000{{c}}, ~7/4 = 965.449{{c}} | |||
: error map: {{val| -0.000 -1.955 +13.686 -3.377 -1.318 -5.977 -4.955 +2.487 }} | |||
: | Badness (Sintel): 2.383 | ||
== Duodecim == | |||
{{Distinguish|Duodecic}} | |||
Duodecim uses exactly the same mapping as the 7-limit of 12edo, only correcting its poor approximation of prime 11. | Duodecim uses exactly the same mapping as the 7-limit of 12edo, only correcting its poor approximation of prime 11. | ||