Miscellaneous 5-limit temperaments: Difference between revisions

m Units
- hogzilla, stump, unsmate, counterhanson, and countermeantone (addressed in the equivalence continuum of 19et)
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[[Badness]] (Sintel): 4.70
[[Badness]] (Sintel): 4.70
== Stump ==
: ''For extensions, see [[Sensamagic clan #Pycnic]] and [[Marvel temperaments #Triton]].''
[[Subgroup]]: 2.3.5
[[Comma list]]: 273375/262144
{{Mapping|legend=1| 1 0 6 | 0 3 -7 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~64/45 = 631.504{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~64/45 = 631.737{{c}}
{{Optimal ET sequence|legend=1| 17, 19, 207bbccc }}
[[Badness]] (Sintel): 4.71


== Dodifo ==
== Dodifo ==
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[[Badness]] (Sintel): 7.20
[[Badness]] (Sintel): 7.20
== Counterhanson ==
: ''For extensions, see [[Ragismic microtemperaments #Counterkleismic]].''
[[Subgroup]]: 2.3.5
[[Comma list]]: {{monzo| -20 -24 25 }}
{{Mapping|legend=1| 1 -5 -4 | 0 25 24 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~6/5 = 316.084{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~6/5 = 316.081{{c}}
{{Optimal ET sequence|legend=1| 19, …, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c }}
[[Badness]] (Sintel): 7.45


== Nessafof ==
== Nessafof ==
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[[Badness]] (Sintel): 8.45
[[Badness]] (Sintel): 8.45
== Countermeantone ==
[[Subgroup]]: 2.3.5
[[Comma list]]: {{monzo| 10 23 -20 }}
{{Mapping|legend=1| 1 -10 -11 | 0 20 23 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~78125/52488 = 695.082{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~78125/52488 = 695.087{{c}}
{{Optimal ET sequence|legend=1| 19, …, 126, 145, 164, 183, 713, 896c, 1079c, 1262c, 1445c }}
[[Badness]] (Sintel): 8.76


== Tritonic ==
== Tritonic ==
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Scales (Scala files): [[wizard22]]
Scales (Scala files): [[wizard22]]
== Hogzilla ==
: ''For extensions, see [[Semaphoresmic clan #Helayo]].''
[[Subgroup]]: 2.3.5
[[Comma list]]: 4428675/4194304
{{Mapping|legend=1| 1 0 11 | 0 2 -11 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~2048/1215 = 946.982{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~2048/1215 = 947.351{{c}}
{{Optimal ET sequence|legend=1| 14, 19 }}
[[Badness]] (Sintel): 9.96


== Merman ==
== Merman ==
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[[Badness]] (Sintel): 10.6
[[Badness]] (Sintel): 10.6
== Unsmate ==
[[Subgroup]]: 2.3.5
[[Comma list]]: 17578125/16777216
{{Mapping|legend=1| 1 3 2 | 0 -9 2 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~2048/1875 = 188.773{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~2048/1875 = 189.049{{c}}
{{Optimal ET sequence|legend=1| 13, 19, 89c, 108c, 127c, 146cc }}
[[Badness]] (Sintel): 10.8


== Nusecond ==
== Nusecond ==