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Catalog of rank-4 temperaments: Difference between revisions

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[[Badness]] (Sintel): 0.292
[[Badness]] (Sintel): 0.292
==== Subgroup: 2.3.5.7.11.13.29 ====
[[Comma list]]: 2080/2079, 4096/4095, 112000/111969
{{Mapping|legend=1| 1 0 0 0 17 12 -22| 0 1 0 0 -5 -2 4| 0 0 1 0 0 -1 4| 0 0 0 1 -2 -1 4}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.964{{c}}, ~3/2 = 702.027{{c}}, ~5/4 = 386.259{{c}}, ~7/4 = 968.908{{c}}
: [[error map]]: {{val|-0.036, 0.072, -0.055, 0.083, 0.124, -0.177, -0.016}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.087{{c}}, ~5/4 = 386.334{{c}}, ~7/4 = 969.007{{c}}
: error map: {{val|0.000, 0.132, 0.020, 0.182, 0.233, -0.042, 0.134}}
{{Optimal ET sequence|legend=1|TBA}}
[[Badness]] (Sintel): 0.638


=== Metaolympic ===
=== Metaolympic ===
Line 968: Line 983:
Optimal tunings:  
Optimal tunings:  
* WE: ~2 = 1199.9530{{c}}, ~3/2 = 702.0493{{c}}, ~5/4 = 386.2541{{c}}, ~187/100 = 1084.4393{{c}}
* WE: ~2 = 1199.9530{{c}}, ~3/2 = 702.0493{{c}}, ~5/4 = 386.2541{{c}}, ~187/100 = 1084.4393{{c}}
* [[error map]]: {{val|-0.047, 0.047, -0.154, 0.006, 0.208, -0.088, 0.184}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.0798{{c}}, ~5/4 = 386.2658{{c}}, ~187/100 = 1084.4811{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.0798{{c}}, ~5/4 = 386.2658{{c}}, ~187/100 = 1084.4811{{c}}
* [[error map]]: {{val|0.000, 0.125, -0.057, 0.136, 0.359, 0.094, 0.363}}


{{Optimal ET sequence|legend=0| 43, 53, 84, 94, 137, 176g, 217, 270, 311, 487, 571e, 581, 935, 1516e, 2234eg, 2815eg }}
{{Optimal ET sequence|legend=0| 43, 53, 84, 94, 137, 176g, 217, 270, 311, 487, 571e, 581, 935, 1516e, 2234eg, 2815eg }}
Line 983: Line 1,000:
Optimal tunings:  
Optimal tunings:  
* WE: ~2 = 1199.9539{{c}}, ~3/2 = 702.0464{{c}}, ~5/4 = 386.2644{{c}}, ~187/100 = 1084.4405{{c}}
* WE: ~2 = 1199.9539{{c}}, ~3/2 = 702.0464{{c}}, ~5/4 = 386.2644{{c}}, ~187/100 = 1084.4405{{c}}
* [[error map]]: {{val|-0.046, 0.045, -0.141, 0.009, 0.227, -0.088, 0.192, -0.058}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.0768{{c}}, ~5/4 = 386.2655{{c}}, ~187/100 = 1084.4813{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.0768{{c}}, ~5/4 = 386.2655{{c}}, ~187/100 = 1084.4813{{c}}
* [[error map]]: {{val|0.000, 0.122, -0.048, 0.137, 0.373, 0.090, 0.367, 0.118}}


{{Optimal ET sequence|legend=0| 43, 53, 84, 94, 137, 176g, 217, 270, 311, 487, 571e, 581, 935, 1516e, 2234eg, 2451eg }}
{{Optimal ET sequence|legend=0| 43, 53, 84, 94, 137, 176g, 217, 270, 311, 487, 571e, 581, 935, 1516e, 2234eg, 2451eg }}


Badness (Sintel): 0.764
Badness (Sintel): 0.764
==== 2.3.5.7.11.13.17.19.29 subgroup ====
Comma list: 2080/2079, 3250/3249, 4096/4095, 4200/4199, 112000/111969
Mapping: {{mapping| 1 0 0 1 15 11 -13 6 -18| 0 1 0 0 -5 -2 5 -2 4| 0 0 1 0 0 -1 2 1 4| 0 0 0 2 -4 -2 5 -1 8}}
Optimal tunings:
* WE: ~2 = 1199.951{{c}}, ~3/2 = 701.968{{c}}, ~5/4 = 386.215{{c}}, ~187/100 = 1084.473 {{c}} [[error map]]: {{val|-0.049, 0.013, -0.099, 0.070, 0.219, -0.162, 0.313, 0.000, -0.183}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.048{{c}}, ~5/4 = 386.316{{c}}, ~187/100 = 1084.517{{c}} [[error map]]: {{val|0.000, 0.093, 0.002, 0.208, 0.373, 0.026, 0.502, 0.189, 0.015}}
{{Optimal ET sequence|legend=0|TBA}}
Badness (Sintel): 1.290


== Alphaxenic (131769/131072) ==
== Alphaxenic (131769/131072) ==
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