Catalog of rank-4 temperaments: Difference between revisions

Kalismic (9801/9800): complete data. Rework on intro to briggs
Line 715: Line 715:
[[Subgroup]]: 2.3.5.7.11.13
[[Subgroup]]: 2.3.5.7.11.13


[[Comma list]]: [[9801/9800]], [[10648/10647]]
[[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 }}
Line 722: Line 722:
[[Optimal tuning]]:  
[[Optimal tuning]]:  
* [[WE]]: ~99/70 = 600.0006{{c}}, ~3/2 = 701.9470{{c}}, ~1053/560 = 1093.1617{{c}}, ~7/4 = 968.8431{{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 = 600.0000{{c}}, ~3/2 = 701.9469{{c}}, ~1053/560 = 1093.1614{{c}}, ~7/4 = 968.8438{{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| 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 }}
{{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 }}
Line 739: Line 739:
Optimal tuning:  
Optimal tuning:  
* WE: ~99/70 = 600.0011{{c}}, ~3/2 = 701.9430{{c}}, ~1053/560 = 1093.1625{{c}}, ~7/4 = 968.8308{{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| 0.002 -0.010 0.012 0.009 -0.044 0.024 0.006 }}
: 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}}
* 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 }}
: error map: {{val| 0.000 -0.012 +0.010 +0.006 -0.048 +0.019 +0.001 }}


{{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 }}
{{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 }}