Xenharmonic Wiki

Greenwoodmic temperaments: Difference between revisions

← Older editNewer edit →
VisualWikitext
m Units, misc. cleanup, - redundant category
Switch to Sintel's badness, WE & CWE tunings
Line 21: Line 21:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~16/15 = 138.454{{c}}
* [[WE]]: ~2 = 1203.6786{{c}}, ~16/15 = 138.3805{{c}}
: [[error map]]: {{val| 0.000 -9.684 -17.038 +0.353 }}
: [[error map]]: {{val| +3.679 -6.374 -5.561 +7.195 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~16/15 = 137.958{{c}}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 138.0648{{c}}
: error map: {{val| 0.000 -12.167 -14.059 -3.123 }}
: error map: {{val| 0.000 -11.631 -14.702 -2.372 }}


{{Optimal ET sequence|legend=1| 9, 17, 26, 61bc, 87bcc }}
{{Optimal ET sequence|legend=1| 9, 17, 26, 61bc, 87bcc }}


[[Badness]] (Smith): 0.089840
[[Badness]] (Sintel): 2.27


=== 11-limit ===
=== 11-limit ===
Line 38: Line 38:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~12/11 = 138.420{{c}}
* WE: ~2 = 1202.9415{{c}}, ~12/11 = 138.2377{{c}}
* POTE: ~2 = 1200.000{{c}}, ~12/11 = 137.900{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/11 = 137.9970{{c}}


{{Optimal ET sequence|legend=0| 9, 17, 26, 61bc }}
{{Optimal ET sequence|legend=0| 9, 17, 26, 61bc }}


Badness (Smith): 0.042562
Badness (Sintel): 1.41


==== 13-limit ====
==== 13-limit ====
Line 53: Line 53:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~12/11 = 137.455{{c}}
* WE: ~2 = 1202.4465{{c}}, ~12/11 = 137.2165{{c}}
* POTE: ~2 = 1200.000{{c}}, ~12/11 = 136.937{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~12/11 = 137.0309{{c}}


{{Optimal ET sequence|legend=0| 9, 35 }}
{{Optimal ET sequence|legend=0| 9, 35 }}


Badness (Smith): 0.049684
Badness (Sintel): 2.05


==== Secundly ====
==== Secundly ====
Line 68: Line 68:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~13/12 = 138.583{{c}}
* WE: ~2 = 1203.0195{{c}}, ~13/12 = 138.2642{{c}}
* POTE: ~2 = 1200.000{{c}}, ~13/12 = 137.917{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~13/12 = 138.0317{{c}}


{{Optimal ET sequence|legend=0| 9, 17, 26, 61bcf }}
{{Optimal ET sequence|legend=0| 9, 17, 26, 61bcf }}


Badness (Smith): 0.026212
Badness (Sintel): 1.08


== Semishallowtone ==
== Semishallowtone ==
Line 86: Line 86:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~189/128 = 600.000{{c}}, ~3/2 = 681.532{{c}} (~64/63 = 81.532{{c}})
* [[WE]]: ~189/128 = 603.1653{{c}}, ~3/2 = 686.6365{{c}} (~64/63 = 83.4712{{c}})
: [[error map]]: {{val| 0.000 -20.423 -1.629 -13.421 }}
: [[error map]]: {{val| +6.331 -8.988 -2.034 -0.248 }}
* [[CWE]]: ~189/128 = 600.000{{c}}, ~3/2 = 682.650{{c}} (~64/63 = 82.650{{c}})
* [[CWE]]: ~189/128 = 600.0000{{c}}, ~3/2 = 682.6498{{c}} (~64/63 = 82.6498{{c}})
: error map: {{val| 0.000 -19.305 -12.811 -16.775 }}
: error map: {{val| 0.000 -19.305 -12.811 -16.775 }}


Line 103: Line 103:


Optimal tunings:  
Optimal tunings:  
* CTE: ~189/128 = 600.000{{c}}, ~3/2 = 681.438{{c}} (~64/63 = 81.438{{c}})
* WE: ~189/128 = 603.0536{{c}}, ~3/2 = 686.6175{{c}} (~64/63 = 83.5640{{c}})
* CWE: ~189/128 = 600.000{{c}}, ~3/2 = 682.724{{c}} (~64/63 = 82.724{{c}})
* CWE: ~189/128 = 600.0000{{c}}, ~3/2 = 682.7238{{c}} (~64/63 = 82.7238{{c}})


{{Optimal ET sequence|legend=0| 14c, 44bd, 58bcde, 72bbccddee }}
{{Optimal ET sequence|legend=0| 14c, 44bd, 58bcde, 72bbccddee }}
Line 118: Line 118:


Optimal tunings:  
Optimal tunings:  
* CTE: ~91/64 = 600.000{{c}}, ~3/2 = 681.406{{c}} (~64/63 = 81.406{{c}})
* WE: ~91/64 = 601.8872{{c}}, ~3/2 = 684.4774{{c}} (~64/63 = 82.5902{{c}})
* CWE: ~91/64 = 600.000{{c}}, ~3/2 = 682.168{{c}} (~64/63 = 82.168{{c}})
* CWE: ~91/64 = 600.0000{{c}}, ~3/2 = 682.1676{{c}} (~64/63 = 82.1676{{c}})


{{Optimal ET sequence|legend=0| 14c, 30b }}
{{Optimal ET sequence|legend=0| 14c, 30b }}
Retrieved from "https://en.xen.wiki/w/Greenwoodmic_temperaments"