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Catalog of rank-4 temperaments: Difference between revisions

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=== Briggs ===
=== Briggs ===
The union of [[abigail]], [[harry]], [[diaschismic]], [[pogo]], [[semihemi]], among many others.
Briggs tempers out [[1716/1715]] and [[2080/2079]], and is the join of [[pessoal]] and [[greenland]], among many others.


[[Subgroup]]: 2.3.5.7.11.13
[[Subgroup]]: 2.3.5.7.11.13


[[Comma list]]: [[1716/1715]], [[2080/2079]]
[[Comma list]]: 1716/1715, 2080/2079


{{Mapping|legend=1| 2 0 0 0 3 -7 | 0 1 0 0 -2 1 | 0 0 1 0 1 0 | 0 0 0 1 1 2 }}
{{Mapping|legend=1| 2 0 0 0 3 -7 | 0 1 0 0 -2 1 | 0 0 1 0 1 0 | 0 0 0 1 1 2 }}
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=== Kalimera ===
=== Kalimera ===
A [[weak extension]] of kalismic by adding the [[chalmersia]], and also an extremely high accuracy detemperament of [[donar]] achieved by observing the [[ragisma]].  
Kalimera is a [[weak extension]] of kalismic by adding the [[harmonisma]], and also an extremely high accuracy detemperament of [[donar]] achieved by observing the [[ragisma]].  


[[Subgroup]]: 2.3.5.7.11.13
[[Subgroup]]: 2.3.5.7.11.13


[[Comma list]]: [[9801/9800]], [[123201/123200]]
[[Comma list]]: [[9801/9800]], [[10648/10647]]


{{Mapping|legend=1| 2 0 1 0 4 9| 0 1 0 0 -2 -4| 0 0 2 0 2 3 | 0 0 0 1 1 1}}
{{Mapping|legend=1| 2 0 1 0 4 9 | 0 1 0 0 -2 -4 | 0 0 2 0 2 3 | 0 0 0 1 1 1 }}
: mapping generators: ~99/70, ~3, ~1053/560, ~7


[[Optimal tuning]]:  
[[Optimal tuning]]:  
* [[WE]]: ~99/70 = 600.001{{c}}, ~3/2 = 1901.948{{c}}, ~1053/560 = 1093.162{{c}}, ~7/4 = 968.845{{c}}
* [[WE]]: ~99/70 = 600.0006{{c}}, ~3/2 = 701.9470{{c}}, ~1053/560 = 1093.1617{{c}}, ~7/4 = 968.8431{{c}}
: [[error map]]: {{val|0.001, -0.007, 0.010, 0.020, -0.043, 0.015}}
: [[error map]]: {{val| 0.001 -0.007 0.010 0.020 -0.043 0.015 }}
* [[CWE]]: ~99/70 = 600.000{{c}}, ~3/2 = 701.947{{c}}, ~1053/560 = 1093.161{{c}}, ~7/4 = 968.844 {{c}}
* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9469{{c}}, ~1053/560 = 1093.1614{{c}}, ~7/4 = 968.8438{{c}}
: error map: {{val|0.000, -0.008, 0.009, 0.018, -0.045, 0.013}}
: error map: {{val| 0.000 -0.008 0.009 0.018 -0.045 0.013 }}


{{Optimal ET sequence|legend=1|TBA}}
{{Optimal ET sequence|legend=1| 12f, 22, 34d, 46, 58, 80, 104c, 132de, 144, 166, 190, 224, 270, 494, 684, 764, 954, 1178, 1236, 1448, 1506, 2190, 2684, 4190, 5144, 6380, 7828, 9334, 12018 }}


[[Badness]] (Sintel): 0.164
[[Badness]] (Sintel): 0.164


==== 17-limit ====
==== 17-limit ====
[[Comma list]]: [[9801/9800]], [[123201/123200]], [[194481/194480]]
Subgroup: 2.3.5.7.11.13.17


{{Mapping|legend=1| 2 0 1 0 4 9 -22| 0 1 0 0 -2 -4 10| 0 0 2 0 2 3 -7| 0 0 0 1 1 1 2}}
Comma list: 9801/9800, 10648/10647, 194481/194480


[[Optimal tuning]]:  
Mapping: {{mapping| 2 0 1 0 4 9 -22 | 0 1 0 0 -2 -4 10 | 0 0 2 0 2 3 -7 | 0 0 0 1 1 1 2 }}
* [[WE]]: ~99/70 = 600.001{{c}}, ~3/2 = 1901.945{{c}}, ~1053/560 = 1093.162{{c}}, ~7/4 = 968.835{{c}}
 
: [[error map]]: {{val|0.002, -0.010, 0.012, 0.009, -0.044, 0.024, 0.006}}
Optimal tuning:  
* [[CWE]]: ~99/70 = 600.000{{c}}, ~3/2 = 701.943{{c}}, ~1053/560 = 1093.162{{c}}, ~7/4 = 968.832 {{c}}
* WE: ~99/70 = 600.0011{{c}}, ~3/2 = 701.9430{{c}}, ~1053/560 = 1093.1625{{c}}, ~7/4 = 968.8308{{c}}
: error map: {{val|0.000, -0.012, 0.010, 0.006, -0.048, 0.019, 0.001}}
: error map: {{val| 0.002 -0.010 0.012 0.009 -0.044 0.024 0.006 }}
* CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 701.9426{{c}}, ~1053/560 = 1093.1618{{c}}, ~7/4 = 968.8316{{c}}
: error map: {{val| 0.000 -0.012 0.010 0.006 -0.048 0.019 0.001 }}


{{Optimal ET sequence|legend=1|TBA}}
{{Optimal ET sequence|legend=0| 46, 58, 104c, 166, 178, 212, 224, 270, 494g, 552g, 684g, 896ef, 908, 954, 1178, 1236, 1506, 2414, 2460, 3638, 3920, 4874, 5144, 6380, 10018e, 11524, 16398e }}


[[Badness]] (Sintel): 0.655
Badness (Sintel): 0.655


== Unisquary (12005/11979) ==
== Unisquary (12005/11979) ==
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