4L 3s/Temperaments: Difference between revisions

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update w/r/t final conclusions of discussion with Milne and others
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Mapping generators: ~2, ~5/3
Mapping generators: ~2, ~5/3
{{Multival|legend=1| 10 9 7 -9 -17 -9 }}


[[POTE generator]]: ~6/5 = 310.146
[[POTE generator]]: ~6/5 = 310.146
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* 7- and [[9-odd-limit]]
* 7- and [[9-odd-limit]]
: [{{monzo| 1 0 0 0 }}, {{monzo| 0 1 0 0 }}, {{monzo| 9/10 9/10 0 0 }}, {{monzo| 17/10 7/10 0 0 }}]
: [{{monzo| 1 0 0 0 }}, {{monzo| 0 1 0 0 }}, {{monzo| 9/10 9/10 0 0 }}, {{monzo| 17/10 7/10 0 0 }}]
: [[Eigenmonzo]]s: 2, 3
: [[Eigenmonzo]]s (unchanged-intervals): 2, 3


{{Val list|legend=1| 27, 31, 58, 89 }}
{{Optimal ET sequence|legend=1| 27, 31, 58, 89 }}


[[Badness]]: 0.0270
[[Badness]]: 0.0270
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* diamond monotone and tradeoff range: [315.641, 317.263]
* diamond monotone and tradeoff range: [315.641, 317.263]


{{Val list|legend=1| 15, 19, 34, 53, 458, 511c, …, 882c }}
{{Optimal ET sequence|legend=1| 15, 19, 34, 53, 458, 511c, …, 882c }}


== Orgone ==
== Orgone ==
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POTE generator: ~77/64 = 323.372
POTE generator: ~77/64 = 323.372


Sval map: [<1 2 4|, <0 3 -2|]
Sval mapping: [<1 2 4|, <0 3 -2|]


EDOs: 7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308, 475bc, 783bc
EDOs: {{EDOs|7, 11, 15, 26, 37, 63, 89, 115, 141, 167, 308, 475bc, 783bc}}


== Dual-3 Sixix ==
== Dual-3 Sixix ==
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2.9.5 POTE generator: 335.8409
2.9.5 POTE generator: 335.8409


{{Val list|legend=1| 18, 25, 43 }}
{{Optimal ET sequence|legend=1| 18, 25, 43 }}
== Sixix ==
== Sixix ==


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POTE generator: ~6/5 = 338.365
POTE generator: ~6/5 = 338.365


{{Val list|legend=1| 7, 25, 32 }}
{{Optimal ET sequence|legend=1| 7, 25, 32 }}


Badness: 0.1531
Badness: 0.1531


[[Category:Smitonic|T]]
[[Category:Smitonic|T]]
[[Category:Temperament]]
[[Category:Lists of temperaments]]