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Switch to Sintel's badness, WE & CWE tunings, per community consensus (1/)
Switch to Sintel's badness, WE & CWE tunings, per community consensus (2/2)
Line 789: Line 789:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~5/4 = 378.744{{c}}
* [[WE]]: ~2 = 1203.9554{{c}}, ~5/4 = 379.7269{{c}}
: [[error map]]: {{val| +3.955 -3.321 +1.324 -7.137 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/4 = 378.5328{{c}}
: error map: {{val| 0.000 -9.291 -7.781 -18.555 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~5/4 = 378.744{{c}}
: [[error map]]: {{val| 0.000 -8.235 -7.570 -20.034 }}
: [[error map]]: {{val| 0.000 -8.235 -7.570 -20.034 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~5/4 = 378.479{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~5/4 = 378.479{{c}}
: error map: {{val| 0.000 -9.558 -7.834 -18.181 }}
: error map: {{val| 0.000 -9.558 -7.834 -18.181 }} -->


[[Tuning ranges]]:  
[[Tuning ranges]]:  
Line 801: Line 805:
{{Optimal ET sequence|legend=1| 16, 19, 73bcd, 92bcdd, 111bcddd }}
{{Optimal ET sequence|legend=1| 16, 19, 73bcd, 92bcdd, 111bcddd }}


[[Badness]] (Smith): 0.056206
[[Badness]] (Sintel): 1.42


=== 11-limit ===
=== 11-limit ===
Line 811: Line 815:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~5/4 = 378.228{{c}}
* WE: ~2 = 1203.0804{{c}}, ~5/4 = 378.6936{{c}}
* POTE: ~2 = 1200.000{{c}}, ~5/4 = 377.724{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 377.8174{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/4 = 378.228{{c}}
* POTE: ~2 = 1200.000{{c}}, ~5/4 = 377.724{{c}} -->


Tuning ranges:  
Tuning ranges:  
Line 820: Line 826:
{{Optimal ET sequence|legend=0| 16, 19, 35, 54bd }}
{{Optimal ET sequence|legend=0| 16, 19, 35, 54bd }}


Badness (Smith): 0.048038
Badness (Sintel): 1.59


==== 13-limit ====
==== 13-limit ====
Line 830: Line 836:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~5/4 = 378.176{{c}}
* WE: ~2 = 1203.4291{{c}}, ~5/4 = 378.7321{{c}}
* POTE: ~2 = 1200.000{{c}}, ~5/4 = 377.653{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 377.7336{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/4 = 378.176{{c}}
* POTE: ~2 = 1200.000{{c}}, ~5/4 = 377.653{{c}} -->


{{Optimal ET sequence|legend=0| 16, 19, 35f, 54bdf }}
{{Optimal ET sequence|legend=0| 16, 19, 35f, 54bdf }}


Badness (Smith): 0.030386
Badness (Sintel): 1.26


=== Muggloid ===
=== Muggloid ===
Line 845: Line 853:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~5/4 = 377.724{{c}}
* WE: ~2 = 1205.6044{{c}}, ~5/4 = 379.5966{{c}}
* POTE: ~2 = 1200.000{{c}}, ~5/4 = 377.832{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 377.8142{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/4 = 377.724{{c}}
* POTE: ~2 = 1200.000{{c}}, ~5/4 = 377.832{{c}} -->


{{Optimal ET sequence|legend=0| 3, 16, 19e, 35ee, 54bdeee }}
{{Optimal ET sequence|legend=0| 3, 16, 19e, 35ee, 54bdeee }}


Badness (Smith): 0.046970
Badness (Sintel): 1.55


==== 13-limit ====
==== 13-limit ====
Line 860: Line 870:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~5/4 = 377.652{{c}}
* WE: ~2 = 1205.4897{{c}}, ~5/4 = 379.5667{{c}}
* POTE: ~2 = 1200.000{{c}}, ~5/4 = 377.838{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 377.8118{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/4 = 377.652{{c}}
* POTE: ~2 = 1200.000{{c}}, ~5/4 = 377.838{{c}} -->


{{Optimal ET sequence|legend=0| 3, 16, 19e, 35eef }}
{{Optimal ET sequence|legend=0| 3, 16, 19e, 35eef }}


Badness (Smith): 0.028732
Badness (Sintel): 1.19


== Darkstone ==
== Darkstone ==
Line 877: Line 889:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~5/4 = 377.385{{c}}
* [[WE]]: ~2 = 1201.7458{{c}}, ~5/4 = 377.2996{{c}}
: [[error map]]: {{val| 0.000 -15.028 -8.928 +27.643 }}
: [[error map]]: {{val| +1.746 -15.457 -5.523 +26.870 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~5/4 = 376.963{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~5/4 = 376.9630{{c}}
: error map: {{val| 0.000 -18.198 -9.562 +21.937 }}
: error map: {{val| 0.000 -17.140 -9.351 +23.841 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~5/4 = 377.385{{c}}
: error map: {{val| 0.000 -15.028 -8.928 +27.643 }} -->


{{Optimal ET sequence|legend=1| 3d, …, 13b, 16 }}
{{Optimal ET sequence|legend=1| 3d, …, 13b, 16 }}


[[Badness]] (Smith): 0.084213
[[Badness]] (Sintel): 2.13


=== 11-limit ===
=== 11-limit ===
Line 894: Line 908:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~5/4 = 377.388{{c}}
* WE: ~2 = 1201.7428{{c}}, ~5/4 = 377.3134{{c}}
* CWE: ~2 = 1200.000{{c}}, ~5/4 = 376.973{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 376.9735{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/4 = 377.388{{c}} -->


{{Optimal ET sequence|legend=0| 3de, 13be, 16 }}
{{Optimal ET sequence|legend=0| 3de, 13be, 16 }}


Badness (Smith): 0.046775
Badness (Sintel): 1.55


=== 13-limit ===
=== 13-limit ===
Line 909: Line 924:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~5/4 = 376.914{{c}}
* WE: ~2 = 1201.7428{{c}}, ~5/4 = 377.3134{{c}}
* CWE: ~2 = 1200.000{{c}}, ~5/4 = 376.422{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 376.4221{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/4 = 376.914{{c}} -->


{{Optimal ET sequence|legend=0| 3def, 13beff, 16 }}
{{Optimal ET sequence|legend=0| 3def, 13beff, 16 }}


Badness (Smith): 0.038328
Badness (Sintel): 1.58


== Brightstone ==
== Brightstone ==
Line 924: Line 940:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~5/4 = 381.955{{c}}
* [[WE]]: ~2 = 1198.1701{{c}}, ~5/4 = 381.3741{{c}}
: [[error map]]: {{val| 0.000 +7.818 -4.359 +11.627 }}
: error map: {{val| -1.830 +4.915 -8.599 +6.454 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~5/4 = 381.956{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/4 = 381.9562{{c}}
: error map: {{val| 0.000 +7.826 -4.358 +11.613 }}
: error map: {{val| 0.000 +7.826 -4.358 +11.613 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~5/4 = 381.955{{c}}
: error map: {{val| 0.000 +7.818 -4.359 +11.627 }} -->


{{Optimal ET sequence|legend=1| 3, 19d, 22 }}
{{Optimal ET sequence|legend=1| 3, 19d, 22 }}


[[Badness]] (Smith): 0.088072
[[Badness]] (Sintel): 2.23


=== 11-limit ===
=== 11-limit ===
Line 941: Line 959:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~5/4 = 381.790{{c}}
* WE: ~2 = 1198.8032{{c}}, ~5/4 = 381.3145{{c}}
* CWE: ~2 = 1200.000{{c}}, ~5/4 = 381.712{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 381.7119{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/4 = 381.790{{c}} -->


{{Optimal ET sequence|legend=0| 3, 19d, 22 }}
{{Optimal ET sequence|legend=0| 3, 19d, 22 }}


Badness (Smith): 0.047379
Badness (Sintel): 1.57


=== 13-limit ===
=== 13-limit ===
Line 956: Line 975:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~5/4 = 381.732{{c}}
* WE: ~2 = 1199.9726{{c}}, ~5/4 = 381.7271{{c}}
* CWE: ~2 = 1200.000{{c}}, ~5/4 = 381.736{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 381.7362{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~5/4 = 381.732{{c}} -->


{{Optimal ET sequence|legend=0| 3, 22 }}
{{Optimal ET sequence|legend=0| 3, 22 }}


Badness (Smith): 0.039703
Badness (Sintel): 1.64


== Hocum ==
== Hocum ==
Line 968: Line 988:
[[Comma list]]: 3125/3072, 4000/3969
[[Comma list]]: 3125/3072, 4000/3969


{{Mapping|legend=1| 1 5 3 -3 | 0 -10 -2 17 }}
{{Mapping|legend=1| 1 -5 1 14 | 0 10 2 -17 }}


: mapping generators: ~2, ~63/50
: mapping generators: ~2, ~63/40


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~63/50 = 409.836{{c}}
* [[WE]]: ~2 = 1200.8375{{c}}, ~63/40 = 790.7032{{c}}
: [[error map]]: {{val| +0.838 +0.890 -4.070 +0.944 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~63/40 = 790.1542{{c}}
: error map: {{val| 0.000 -0.413 -6.005 -1.447 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~63/40 = 790.164{{c}}
: [[error map]]: {{val| 0.000 -0.316 -5.986 -1.612 }}
: [[error map]]: {{val| 0.000 -0.316 -5.986 -1.612 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~63/50 = 410.108{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~63/40 = 789.892{{c}}
: error map: {{val| 0.000 -0.437 -6.010 -1.406 }}
: error map: {{val| 0.000 -0.437 -6.010 -1.406 }} -->


{{Optimal ET sequence|legend=1| 3, 38, 41, 161c }}
{{Optimal ET sequence|legend=1| 3, 38, 41, 161c }}


[[Badness]] (Smith): 0.107115
[[Badness]] (Sintel): 2.71


== Trismegistus ==
== Trismegistus ==
{{See also| No-threes subgroup temperaments #Mabilic }}{{Main|Mabilic and trismegistus}}
{{Main| Mabilic and trismegistus }}
{{See also| No-threes subgroup temperaments #Mabilic }}


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7
Line 989: Line 1,014:
[[Comma list]]: 1029/1024, 3125/3072
[[Comma list]]: 1029/1024, 3125/3072


{{Mapping|legend=1| 1 10 4 0 | 0 -15 -3 5 }}
{{Mapping|legend=1| 1 -5 1 5 | 0 15 3 -5 }}


: mapping generators: ~2, ~147/100
: mapping generators: ~2, ~168/125


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~147/100 = 673.187{{c}}
* [[WE]]: ~2 = 1201.0799{{c}}, ~168/125 = 527.1841{{c}}
: [[error map]]: {{val| +1.080 +0.408 -3.681 +0.653 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~168/125 = 526.7349{{c}}
: error map: {{val| 0.000 -0.932 -6.109 -2.500 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~168/125 = 526.813{{c}}
: [[error map]]: {{val| 0.000 +0.240 -5.875 -2.891 }}
: [[error map]]: {{val| 0.000 +0.240 -5.875 -2.891 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~147/100 = 673.290{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~168/125 = 526.710{{c}}
: error map: {{val| 0.000 -0.932 -6.109 -2.500 }}
: error map: {{val| 0.000 -0.932 -6.109 -2.500 }} -->


{{Optimal ET sequence|legend=1| 16, 25, 41, 139c, 180c, 221cc, 262ccd }}
{{Optimal ET sequence|legend=1| 16, 25, 41, 139c, 180c, 221cc, 262ccd }}


[[Badness]] (Smith): 0.098334
[[Badness]] (Sintel): 2.49


=== 11-limit ===
=== 11-limit ===
Line 1,008: Line 1,037:
Comma list: 385/384, 441/440, 625/616
Comma list: 385/384, 441/440, 625/616


Mapping: {{mapping| 1 10 4 0 13 | 0 -15 -3 5 -17 }}
Mapping: {{mapping| 1 -5 1 5 -4 | 0 15 3 -5 17 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~22/15 = 673.241{{c}}
* WE: ~2 = 1200.8404{{c}}, ~15/11 = 527.0289{{c}}
* POTE: ~2 = 1200.000{{c}}, ~22/15 = 673.340{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/11 = 526.6826{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/11 = 526.759{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/11 = 526.660{{c}} -->


{{Optimal ET sequence|legend=0| 16, 25e, 41, 98c }}
{{Optimal ET sequence|legend=0| 16, 25e, 41, 98c }}


Badness (Smith): 0.045623
Badness (Sintel): 1.51


=== 13-limit ===
=== 13-limit ===
Line 1,023: Line 1,054:
Comma list: 105/104, 144/143, 275/273, 625/616
Comma list: 105/104, 144/143, 275/273, 625/616


Mapping: {{mapping| 1 10 4 0 13 11 | 0 -15 -3 5 -17 -13 }}
Mapping: {{mapping| 1 -5 1 5 -4 -2 | 0 15 3 -5 17 13 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~22/15 = 673.294{{c}}
* WE: ~2 = 1200.4759{{c}}, ~15/11 = 526.8502{{c}}
* POTE: ~2 = 1200.000{{c}}, ~22/15 = 673.359{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/11 = 526.6548{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~15/11 = 526.706{{c}}
* POTE: ~2 = 1200.000{{c}}, ~15/11 = 526.641{{c}} -->


{{Optimal ET sequence|legend=0| 16, 25e, 41, 98c }}
{{Optimal ET sequence|legend=0| 16, 25e, 41, 98c }}


Badness (Smith): 0.033081
Badness (Sintel): 1.37


=== 2.3.5.7.11.13.19 subgroup ===
=== 2.3.5.7.11.13.19 subgroup ===
Line 1,038: Line 1,071:
Comma list: 105/104, 144/143, 441/440, 210/209, 625/616
Comma list: 105/104, 144/143, 441/440, 210/209, 625/616


Subgroup-val mapping: {{mapping| 1 10 4 0 13 11 2 | 0 -15 -3 5 -17 -13 4 }}
Subgroup-val mapping: {{mapping| 1 -5 1 5 -4 -2 6 | 0 15 3 -5 17 13 -4 }}


Optimal tunings:
Optimal tunings:
* CWE: ~2 = 1200.000{{c}}, ~22/15 = 673.363{{c}}
* WE: ~2 = 1200.5832{{c}}, ~15/11 = 526.8804{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~15/11 = 526.6368{{c}}


{{Optimal ET sequence|legend=0| 16, 25e, 41, 98c }}
{{Optimal ET sequence|legend=0| 16, 25e, 41, 98c }}
Badness (Sintel): 1.26


== Quadrimage ==
== Quadrimage ==
Line 1,050: Line 1,086:
[[Comma list]]: 2401/2400, 3125/3072
[[Comma list]]: 2401/2400, 3125/3072


{{Mapping|legend=1| 1 5 3 4 | 0 -20 -4 -7 }}
{{Mapping|legend=1| 1 -15 -1 -3 | 0 20 4 7 }}


: mapping generators: ~2, ~28/25
: mapping generators: ~2, ~25/14


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~28/25 = 204.860{{c}}
* [[WE]]: ~2 = 1201.2708{{c}}, ~25/14 = 996.0669{{c}}
: [[error map]]: {{val| +1.271 +0.322 -3.317 -0.170 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~25/14 = 995.0515{{c}}
: error map: {{val| 0.000 -0.926 -6.108 -3.466 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~25/14 = 995.140{{c}}
: [[error map]]: {{val| 0.000 +0.853 -5.752 -2.843 }}
: [[error map]]: {{val| 0.000 +0.853 -5.752 -2.843 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~28/25 = 204.987{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~25/14 = 995.013{{c}}
: error map: {{val| 0.000 -1.691 -6.261 -3.733 }}
: error map: {{val| 0.000 -1.691 -6.261 -3.733 }} -->


{{Optimal ET sequence|legend=1| 6, 29b, 35, 41, 158cd, 199ccd, 240ccd, 281ccd }}
{{Optimal ET sequence|legend=1| 6, …, 35, 41, 158cd, 199ccd, 240ccd, 281ccd }}


[[Badness]] (Smith): 0.127422
[[Badness]] (Sintel): 3.22


=== 11-limit ===
=== 11-limit ===
Line 1,069: Line 1,109:
Comma list: 245/242, 385/384, 625/616
Comma list: 245/242, 385/384, 625/616


Mapping: {{mapping| 1 5 3 4 5 | 0 -20 -4 -7 -9 }}
Mapping: {{mapping| 1 -15 -1 -3 -4 | 0 20 4 7 9 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~28/25 = 204.881{{c}}
* WE: ~2 = 1200.6716{{c}}, ~25/14 = 995.6009{{c}}
* POTE: ~2 = 1200.000{{c}}, ~28/25 = 204.956{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/14 = 995.0633{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~25/14 = 995.119{{c}}
* POTE: ~2 = 1200.000{{c}}, ~25/14 = 995.044{{c}} -->


{{Optimal ET sequence|legend=0| 6, 35, 41 }}
{{Optimal ET sequence|legend=0| 6, 35, 41 }}


Badness (Smith): 0.061572
Badness (Sintel): 2.04


=== 13-limit ===
=== 13-limit ===
Line 1,087: Line 1,129:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~28/25 = 204.956{{c}}
* WE: ~2 = 1200.6276{{c}}, ~25/14 = 995.4920{{c}}
* POTE: ~2 = 1200.000{{c}}, ~28/25 = 205.028{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~25/14 = 994.9901{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~25/14 = 995.044{{c}}
* POTE: ~2 = 1200.000{{c}}, ~25/14 = 994.972{{c}} -->


{{Optimal ET sequence|legend=0| 6f, 35f, 41, 117c }}
{{Optimal ET sequence|legend=0| 6f, 35f, 41, 117c }}


Badness (Smith): 0.044047
Badness (Sintel): 1.82


== Quinmage ==
== Quinmage ==
Line 1,104: Line 1,148:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~48/35 = 556.123{{c}}
* [[WE]]: ~2 = 1201.3334{{c}}, ~48/35 = 556.6311{{c}}
: [[error map]]: {{val| 0.000 +1.132 -5.696 -2.480 }}
: error map: {{val| +1.333 +0.489 -3.158 -0.835 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~48/35 = 556.050{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~48/35 = 556.0504{{c}}
: error map: {{val| 0.000 -0.695 -6.062 -3.868 }}
: error map: {{val| 0.000 -0.695 -6.062 -3.868 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~48/35 = 556.123{{c}}
: [[error map]]: {{val| 0.000 +1.132 -5.696 -2.480 }} -->


{{Optimal ET sequence|legend=1| 13b, 28b, 41, 177bcd, 218bccdd, 259bccdd, 300cccdd }}
{{Optimal ET sequence|legend=1| 13b, 28b, 41, 177bcd, 218bccdd, 259bccdd, 300cccdd }}


[[Badness]] (Smith): 0.194548
[[Badness]] (Sintel): 4.92


=== 11-limit ===
=== 11-limit ===
Line 1,121: Line 1,167:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~11/8 = 556.122{{c}}
* WE: ~2 = 1200.4252{{c}}, ~11/8 = 556.2831{{c}}
* CWE: ~2 = 1200.000{{c}}, ~11/8 = 556.095{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~11/8 = 556.0951{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~11/8 = 556.122{{c}} -->


{{Optimal ET sequence|legend=0| 13b, 28b, 41 }}
{{Optimal ET sequence|legend=0| 13b, 28b, 41 }}


Badness (Smith): 0.101724
Badness (Sintel): 3.36


=== 13-limit ===
=== 13-limit ===
Line 1,136: Line 1,183:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~11/8 = 556.106{{c}}
* WE: ~2 = 1199.8239{{c}}, ~11/8 = 556.0389{{c}}
* CWE: ~2 = 1200.000{{c}}, ~11/8 = 556.117{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~11/8 = 556.1171{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~11/8 = 556.106{{c}} -->


{{Optimal ET sequence|legend=0| 13b, 28b, 41 }}
{{Optimal ET sequence|legend=0| 13b, 28b, 41 }}


Badness (Smith): 0.067742
Badness (Sintel): 2.80


== Warlock ==
== Warlock ==
Line 1,153: Line 1,201:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~8/7 = 240.000{{c}}, ~5/4 = 380.499{{c}} (~256/245 = 99.501{{c}})
* [[WE]]: ~8/7 = 240.3877{{c}}, ~5/4 = 380.4267{{c}} (~256/245 = 100.3488{{c}})
: [[error map]]: {{val| 0.000 +0.542 -5.814 -8.826 }}
: error map: {{val| +1.939 +0.178 -2.010 -3.398 }}
* [[CWE]]: ~8/7 = 240.000{{c}}, ~5/4 = 379.997{{c}} (~256/245 = 100.003{{c}})
* [[CWE]]: ~8/7 = 240.0000{{c}}, ~5/4 = 379.9965{{c}} (~256/245 = 100.0035{{c}})
: error map: {{val| 0.000 -1.972 -6.317 -8.826 }}
: error map: {{val| 0.000 -1.972 -6.317 -8.826 }}
<!-- * [[CTE]]: ~8/7 = 240.000{{c}}, ~5/4 = 380.499{{c}} (~256/245 = 99.501{{c}})
: [[error map]]: {{val| 0.000 +0.542 -5.814 -8.826 }} -->


{{Optimal ET sequence|legend=1| 25, 35, 60 }}
{{Optimal ET sequence|legend=1| 25, 35, 60 }}


[[Badness]] (Smith): 0.287190
[[Badness]] (Sintel): 7.27


[[Category:Temperament families]]
[[Category:Temperament families]]
Retrieved from "https://en.xen.wiki/w/Magic_family"