Miscellaneous 5-limit temperaments: Difference between revisions

- gracecordial and wronecki (addressed in 12edo's continuum)
 
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[[Badness]] (Sintel): 5.00
[[Badness]] (Sintel): 5.00
== Doublewide ==
: ''For extensions, see [[Jubilismic clan #Doublewide]].''
[[Subgroup]]: 2.3.5
[[Comma list]]: 390625/373248
{{Mapping|legend=1| 2 1 3 | 0 4 3 }}
: mapping generators: ~625/432, ~6/5
[[Optimal tuning]]s:
* [[WE]]: ~625/432 = 600.6814{{c}}, ~6/5 = 325.8892{{c}} (~144/125 = 274.7921{{c}})
: [[error map]]: {{val| +1.363 +2.283 -6.602 }}
* [[CWE]]: ~625/432 = 600.0000{{c}}, ~6/5 = 325.8147{{c}} (~144/125 = 274.185{{c}})
: error map: {{val| 0.000 +1.304 -8.869 }}
{{Optimal ET sequence|legend=1| 4, 14b, 18, 22, 48, 70c, 118c }}
[[Badness]] (Sintel): 5.32


== Shibboleth ==
== Shibboleth ==
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[[Badness]] (Sintel): 6.98
[[Badness]] (Sintel): 6.98
== Gracecordial ==
: ''For extensions, see [[Marvel temperaments #Gracecordial]].''
[[Subgroup]]: 2.3.5
[[Comma list]]: 17433922005/17179869184
{{Mapping|legend=1| 1 0 34 | 0 1 -20 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000, ~3/2 = 700.691
* [[POTE]]: ~2 = 1200.000, ~3/2 = 700.734
{{Optimal ET sequence|legend=1| 12, 113, 125, 137, 1221bbcc }}
[[Badness]] (Sintel): 7.20


== Untriton ==
== Untriton ==
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[[Badness]] (Sintel): 7.85
[[Badness]] (Sintel): 7.85
== Wronecki ==
[[Subgroup]]: 2.3.5
[[Comma list]]: 531441/500000
{{Mapping|legend=1| 6 0 -5 | 0 1 2 }}
[[Optimal tuning]]s:
* [[CTE]]: ~10/9 = 200.000, ~3/2 = 696.229
* [[POTE]]: ~10/9 = 200.000, ~3/2 = 695.040
{{Optimal ET sequence|legend=1| 12, 66b, 78b, 90b, 102b }}
[[Badness]] (Sintel): 8.02


== Delorean ==
== Delorean ==
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[[Badness]] (Sintel): 10.9
[[Badness]] (Sintel): 10.9
== Comic ==
: ''For extensions, see [[Jubilismic clan #Comic]].''
[[Subgroup]]: 2.3.5
[[Comma list]]: 5120000/4782969
{{Mapping|legend=1| 2 1 -3 | 0 2 7 }}
: mapping generators: ~2187/1600, ~40/27
[[Optimal tuning]]s:
* [[WE]]: ~2187/1600 = 598.9674{{c}}, ~40/27 = 654.2542{{c}} (~81/80 = 55.2868{{c}})
: [[error map]]: {{val| -2.065 +5.521 -3.436 }}
* [[CWE]]: ~2187/1600 = 600.0000{{c}}, ~40/27 = 655.0201{{c}} (~81/80 = 55.0201{{c}})
: error map: {{val| 0.000 +8.085 -1.173 }}
{{Optimal ET sequence|legend=1| 20c, 22, 86b, 108b, 130b }}
[[Badness]] (Sintel): 11.5


== Sfourth ==
== Sfourth ==