Very low accuracy temperaments: Difference between revisions

Eufalesio (talk | contribs)
Degeneracy
Tags: Reverted Visual edit
These aren't degenerate. Tempering out 4/3 or 5/4 isn't the same as tempering out 3 or 5.
Tag: Undo
Line 504: Line 504:


== Bixby ==
== Bixby ==
Bixby is identical to the 2.5 [[JI subgroup]], as 4/3 is tempered out and prime 3 is effectively removed from the system. The data shown here is thus degenerate.{{Main| Bixby }}
{{Main| Bixby }}


[[Subgroup]]: 2.''(3)''.5
[[Subgroup]]: 2.3.5


[[Comma list]]: [[4/3]]
[[Comma list]]: [[4/3]]
Line 512: Line 512:
{{Mapping|legend=1| 1 2 0 | 0 0 1 }}
{{Mapping|legend=1| 1 2 0 | 0 0 1 }}


[[Optimal tuning|Degenerate optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1020.058{{c}}, ~5/4 = 674.394{{c}}
* [[WE]]: ~2 = 1020.058{{c}}, ~5/4 = 674.394{{c}}
: [[error map]]: {{val| -179.942 +138.161 -71.803 }}
: [[error map]]: {{val| -179.942 +138.161 -71.803 }}
Line 518: Line 518:
: error map: {{val| 0.000 +498.045 +243.208 }}
: error map: {{val| 0.000 +498.045 +243.208 }}


{{Optimal ET sequence|legend=1| 1, 2b}}
{{Optimal ET sequence|legend=1| 1c, 2b, 3bbcc }}


[[Badness]] (Sintel): 0.424
[[Badness]] (Sintel): 0.424


== Archon ==
== Archon ==
Archon is identical to [[Pythagorean tuning]], as 5/4 is tempered out and prime 5 is effectively removed from the system. The data shown here is thus degenerate.{{Main| Archon }}
{{Main| Archon }}


[[Subgroup]]: 2.3.''(5)''
[[Subgroup]]: 2.3.5


[[Comma list]]: [[5/4]]
[[Comma list]]: [[5/4]]
Line 531: Line 531:
{{Mapping|legend=1| 1 0 2 | 0 1 0 }}
{{Mapping|legend=1| 1 0 2 | 0 1 0 }}


[[Optimal tuning|Degenerate optimal tuning]]s:  
[[Optimal tuning]]s:  
* WE: ~2 = 1268.274{{c}}, ~3/2 = 612.921{{c}}
* WE: ~2 = 1268.274{{c}}, ~3/2 = 612.921{{c}}
: error map: {{val| +68.274 -20.760 -249.765 }}
: error map: {{val| +68.274 -20.760 -249.765 }}
Line 537: Line 537:
: error map: {{val| 0.000 -87.900 -386.314 }}
: error map: {{val| 0.000 -87.900 -386.314 }}


{{Optimal ET sequence|legend=1|1, 2c }}
{{Optimal ET sequence|legend=1| 2c }}


[[Badness]] (Sintel): 0.474
[[Badness]] (Sintel): 0.474


[[Category:Temperament collections]]
[[Category:Temperament collections]]