Catalog of rank-4 temperaments: Difference between revisions
m →Azazoth ({{monzo| −20 −16 12 5 1 }}): use standard characters |
Harmonismatic Tags: Reverted Visual edit |
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[[Badness]] (Sintel): 0.164 | [[Badness]] (Sintel): 0.164 | ||
== Harmonismatic (10648/10647) == | |||
The subgroup-minimal temperament tempering out 10648/10647 in the no-5 13-limit, being a natural detemperament of [[parapyth]] where the fourth generator can be taken to be 352/351~364/363. [[#Kalimera]] is a weak extension to the whole 13-limit. | |||
[[Subgroup]]: 2.3.7.11.13 | |||
[[Comma list]]: 10648/10647 | |||
{{Mapping|legend=1|1 0 0 1 3|0 1 0 0 −1|0 0 1 1 1 | |||
|0 0 0 2 3}} | |||
: mapping generators: ~2, ~3, ~7, ~39/44 | |||
[[Optimal tuning]]: | |||
* [[WE]]: ~2 = 1199.9974{{c}}, ~3/2 = 701.9619{{c}}, ~7/4 = 968.8378{{c}}, ~44/39 = 208.7715{{c}} | |||
: [[error map]]: {{val|−0.0026 +0.0043 +0.0068 −0.0308 +0.0235}} | |||
* [[CWE]]: ~99/70 = 1200.0000{{c}}, ~3/2 = 701.9615 {{c}}, ~7/4 = 968.8365{{c}}, ~44/39 = 208.7728{{c}} | |||
: error map: {{val|0.0000 +0.0065 +0.0106 −0.0270 +0.0290}} | |||
{{Optimal ET sequence|legend=1|12f, 16, 17, 41, 46, 58, 87, 103, 104, 149, 166, 207, 270, 431, 477, 701, 971, 1012, 1178, 1282, 1489, 1506, 1983, 7455, 7662, 9645, 11628, 13134, 15117, 17100…}} | |||
[[Badness]] (Sintel): 0.038 | |||
== Unisquary (12005/11979) == | == Unisquary (12005/11979) == | ||