No-threes subgroup temperaments: Difference between revisions

Switch to Sintel's badness, WE & CWE tunings (3/)
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{{See also| Chromatic pairs #Wizz }}
{{See also| Chromatic pairs #Wizz }}


Wizz, the 6 & 16 temperament in the 2.5.11 subgroup, tempers out [[15625/15488]], and is related to [[wizard]].  
Wizz, the 6 & 16 temperament in the 2.5.11 subgroup, tempers out [[15625/15488]], and is the common [[restriction]] of [[astrology]] and [[wizard]].  


[[Subgroup]]: 2.5.11
[[Subgroup]]: 2.5.11
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Sephiroth is the no-7 [[restriction]] of [[muggles]].  
Sephiroth is the no-7 [[restriction]] of [[muggles]].  


[[Subgroup]]: 2.5.11
[[Comma list]]: 34375/32768
{{Mapping|legend=2| 1 0 15 | 0 1 -5 }}
{{Mapping|legend=3| 1 0 0 0 15 | 0 0 1 0 -5 }}
: mapping generators: ~2, ~5
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1203.3290{{c}}, ~5/4 = 373.6097{{c}}
: [[error map]]: {{val| +3.329 -6.046 -2.722 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/4 = 372.1586{{c}}
: error map: {{val| 0.000 -14.155 -12.111 }}
{{Optimal ET sequence|legend=0| 3, 10, 13, 16, 29, 132cceee }}
[[Badness]] (Sintel): 1.85
==== 2.5.11.13 subgroup ====
Subgroup: 2.5.11.13
Comma list: 65/64, 6875/6656
Subgroup-val mapping: {{mapping| 1 0 15 6 | 0 1 -5 -1 }}
Gencom mapping: {{mapping| 1 0 0 0 15 6 | 0 0 1 0 -5 -1 }}
Optimal tunings:
* WE: ~2 = 1203.3825{{c}}, ~5/4 = 373.6318{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 372.1519{{c}}
{{Optimal ET sequence|legend=0| 3, 10, 13, 16, 29, 132cceeeff }}
Badness (Sintel): 0.410
==== 2.5.11.13.17 subgroup ====
Subgroup: 2.5.11.13.17
Subgroup: 2.5.11.13.17


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Subgroup-val mapping: {{mapping| 1 0 15 6 11 | 0 1 -5 -1 -3 }}
Subgroup-val mapping: {{mapping| 1 0 15 6 11 | 0 1 -5 -1 -3 }}


Gencom mapping: {{mapping| 1 0 2 0 5 4 5 | 0 0 1 0 -5 -1 -3 }}
Gencom mapping: {{mapping| 1 0 0 0 15 6 11 | 0 0 1 0 -5 -1 -3 }}
: mapping generators: ~2, ~5/4


Optimal tunings:  
Optimal tunings: