Very low accuracy temperaments: Difference between revisions

m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
Delete antonym, antony, and geryon, from the precedent of deletion of {7/6}. Perhaps {9/8} should be the threshold for tempering out superparticulars
 
Line 109: Line 109:


{{Mapping|legend=1| 3 5 0 | 0 0 1 }}
{{Mapping|legend=1| 3 5 0 | 0 0 1 }}
: mapping generators: ~4/3, ~5
: mapping generators: ~4/3, ~5


Line 124: Line 123:
== Antonian ==
== Antonian ==
{{Main| Antonian }}
{{Main| Antonian }}
This temperament family is characterized by the [[color notation|yo 2nd]] ([[10/9]]) being tempered out. It identifies [[3/2]] with [[5/3]], [[4/3]] with [[6/5]], and [[5/4]] with [[9/8]].  
This temperament family is characterized by the [[color notation|yo 2nd]] ([[10/9]]) being tempered out. It identifies [[3/2]] with [[5/3]], [[4/3]] with [[6/5]], and [[5/4]] with [[9/8]].  


Line 158: Line 158:


Badness (Sintel): 0.606
Badness (Sintel): 0.606
=== Antonym ===
Subgroup: 2.3.5.7
Comma list: 7/6, 10/9
{{Mapping|legend=0| 1 0 -1 1 | 0 1 2 1 }}
Optimal tunings:
* WE: ~2 = 1209.795{{c}}, ~3/2 = 765.995{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 765.949{{c}}
{{Optimal ET sequence|legend=0| 2cd, 3 }}
Badness (Sintel): 0.568
=== Antony ===
Subgroup: 2.3.5.7
Comma list: 8/7, 10/9
{{Mapping|legend=0| 1 0 -1 3 | 0 1 2 0 }}
Optimal tunings:
* WE: ~2 = 1151.235{{c}}, ~3/2 = 789.399{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 800.996{{c}}
{{Optimal ET sequence|legend=0| 1c, 3d }}
Badness (Sintel): 0.720


=== Brutus ===
=== Brutus ===
Line 331: Line 301:


[[Badness]] (Sintel): 1.22
[[Badness]] (Sintel): 1.22
== Geryon ==
{{See also| Dicot family }}
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 8/7, 25/21
{{Mapping|legend=1| 1 1 2 3 | 0 2 1 0 }}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1164.885{{c}}, ~5/4 = 374.162{{c}}
: [[error map]]: {{val| -35.115 +11.253 -82.382 +125.830 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~5/4 = 375.277{{c}}
: error map: {{val| 0.000 +48.600 -11.036 +231.174 }}
{{Optimal ET sequence|legend=1| 1b, 2b, 3d }}
[[Badness]] (Sintel): 1.29


== Malacoda ==
== Malacoda ==
Line 359: Line 310:


{{Mapping|legend=1| 1 0 3 2 | 0 2 -1 1 }}
{{Mapping|legend=1| 1 0 3 2 | 0 2 -1 1 }}
: mapping generators: ~2, ~7/4
: mapping generators: ~2, ~7/4