No-threes subgroup temperaments: Difference between revisions

Switch to Sintel's badness, WE & CWE tunings (1/)
Augment: + 2.5.7
Line 179: Line 179:
{{See also| Chromatic pairs #Augment }}
{{See also| Chromatic pairs #Augment }}


Augment is related to [[augmented]].  
Augment is related to [[augmented]], but for 2.5.7 instead of 2.3.5.  


[[Subgroup]]: 2.5.7
[[Comma list]]: 128/125
{{Mapping|legend=2| 3 7 0 | 0 0 1 }}
{{Mapping|legend=3| 3 0 7 0 | 0 0 0 1 }}
: mapping generators: ~5/4, ~7
[[Optimal tuning]]s:
* [[WE]]: ~5/4 = 399.0128{{c}}, ~7/4 = 974.7085{{c}}
: [[error map]]: {{val| -2.962 +6.776 -0.040 }}
* [[CWE]]: ~5/4 = 400.0000{{c}}, ~7/4 = 974.3418{{c}}
: error map: {{val| 0.000 +13.686 +5.516 }}
{{Optimal ET sequence|legend=1| 3, 6, 15, 21, 27, 102ccd, 129ccd }}
[[Badness]] (Sintel): 0.296
==== 2.3.7.11 subgroup ====
Subgroup: 2.5.7.11
Subgroup: 2.5.7.11


Line 191: Line 211:


Optimal tunings:  
Optimal tunings:  
* [[WE]]: ~5/4 = 398.9239{{c}}, ~7/4 = 969.1106{{c}}
* WE: ~5/4 = 398.9239{{c}}, ~7/4 = 969.1106{{c}}
* [[CWE]]: ~5/4 = 400.0000{{c}}, ~7/4 = 968.4397{{c}}
* CWE: ~5/4 = 400.0000{{c}}, ~7/4 = 968.4397{{c}}


{{Optimal ET sequence|legend=0| 3, 6, 15, 21 }}
{{Optimal ET sequence|legend=0| 3, 6, 15, 21 }}