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Trienstonic clan: Difference between revisions

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VisualWikitext
Unify to 3 decimal places. Misc cleanup
+Error maps, spell out 1\1 in decimal, and note the badness metric being used
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[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~3/2 = 717.517
* [[CTE]]: ~2 = 1200.000, ~3/2 = 717.517
* [[POTE]]: ~2 = 1\1, ~3/2 = 721.559
: [[error map]]: {{val| 0.000 +15.562 -16.274 }}
* [[POTE]]: ~2 = 1200.000, ~3/2 = 721.559
: error map: {{val| 0.000 +19.604 -4.150 }}


{{Optimal ET sequence|legend=1| 2d, 3d, 5 }}
{{Optimal ET sequence|legend=1| 2d, 3d, 5 }}
[[Badness]] (Smith): 0.00685


== Father ==
== Father ==
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[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 731.394
* [[CTE]]: ~2 = 1200.000, ~3/2 = 731.394
* [[POTE]]: ~2 = 1\1, ~3/2 = 731.177
: [[error map]]: {{val| 0.000 +30.268 +20.350 +27.842 }}
* [[POTE]]: ~2 = 1200.000, ~3/2 = 731.177
: error map: {{val| 0.000 +29.222 +26.622 +24.706 }}


[[Minimax tuning]]:  
[[Minimax tuning]]:  
* [[7-odd-limit]] [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.5/3
* [[7-odd-limit]] [[eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.5/3
* [[9-odd-limit]] [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.9/5
* [[9-odd-limit]] [[eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.9/5


{{Optimal ET sequence|legend=1| 5, 13d, 18, 23bc, 41bbcd }}
{{Optimal ET sequence|legend=1| 5, 13d, 18, 23bc, 41bbcd }}


[[Badness]]: 0.072653
[[Badness]] (Smith): 0.072653


== Wallaby ==
== Wallaby ==
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[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 691.757
* [[CTE]]: ~2 = 1200.000, ~3/2 = 691.757
* [[POTE]]: ~2 = 1\1, ~3/2 = 691.351
: [[error map]]: {{val| 0.000 -8.515 -66.635 -88.505 }}
* [[POTE]]: ~2 = 1200.000, ~3/2 = 691.351
: error map: {{val| 0.000 -10.604 -60.368 -94.772 }}


{{Optimal ET sequence|legend=1| 2d, 5c, 7d, 19ccdd }}
{{Optimal ET sequence|legend=1| 2d, 5c, 7d, 19ccdd }}


[[Badness]]: 0.058468
[[Badness]] (Smith): 0.058468


== Octokaidecal ==
== Octokaidecal ==
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[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~27/20 = 1\2, ~3/2 = 726.548
* [[CTE]]: ~27/20 = 600.000, ~3/2 = 723.608 (~10/9 = 123.608)
* [[POTE]]: ~27/20 = 1\2, ~3/2 = 729.097
: [[error map]]: {{val| 0.000 +21.653 -15.490 }}
* [[POTE]]: ~27/20 = 600.000, ~3/2 = 729.097 (~10/9 = 129.097)
: error map: {{val| 0.000 +27.142 +0.976 }}


{{Optimal ET sequence|legend=1| 8, 10, 18, 28b }}
{{Optimal ET sequence|legend=1| 8, 10, 18, 28b }}


[[Badness]]: 0.122848
[[Badness]] (Smith): 0.122848


=== 7-limit ===
=== 7-limit ===
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[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~7/5 = 1\2, ~3/2 = 723.371
* [[CTE]]: ~7/5 = 600.000, ~3/2 = 723.371 (~15/14 = 123.371)
* [[POTE]]: ~7/5 = 1\2, ~3/2 = 728.874
: [[error map]]: {{val| 0.000 +21.416 -16.201 +1.287 }}
* [[POTE]]: ~7/5 = 600.000, ~3/2 = 728.874 (~15/14 = 128.874)
: error map: {{val| 0.000 +26.919 +0.307 +17.795 }}


[[Minimax tuning]]:  
[[Minimax tuning]]:  
* [[7-odd-limit|7-]] and [[9-odd-limit]] [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.5
* [[7-odd-limit|7-]] and [[9-odd-limit]] [[eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.5


{{Optimal ET sequence|legend=1| 8d, 10, 18, 28b }}
{{Optimal ET sequence|legend=1| 8d, 10, 18, 28b }}


[[Badness]]: 0.036747
[[Badness]] (Smith): 0.036747


=== 11-limit ===
=== 11-limit ===
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Optimal tunings:
Optimal tunings:
* CTE: ~7/5 = 1\2, ~3/2 = 723.371
* CTE: ~7/5 = 600.000, ~3/2 = 723.371 (~15/14 = 123.371)
* POTE: ~7/5 = 1\2, ~3/2 = 732.330
* POTE: ~7/5 = 600.000, ~3/2 = 732.330 (~15/14 = 132.330)


Optimal ET sequence: {{Optimal ET sequence| 8d, 10, 18e }}
Optimal ET sequence: {{Optimal ET sequence| 8d, 10, 18e }}


Badness: 0.030235
Badness (Smith): 0.030235


== Parakangaroo ==
== Parakangaroo ==
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[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~10/7 = 638.863
* [[CTE]]: ~2 = 1200.000, ~10/7 = 638.863
* [[POTE]]: ~2 = 1\1, ~10/7 = 639.672
: [[error map]]: {{val| 0.000 +14.633 +2.314 -19.061 }}
* [[POTE]]: ~2 = 1200.000, ~10/7 = 639.672
: error map: {{val| 0.000 +17.060 +10.404 -11.780 }}


{{Optimal ET sequence|legend=1| 2cd, …, 13cd, 15 }}
{{Optimal ET sequence|legend=1| 2cd, …, 13cd, 15 }}


[[Badness]]: 0.077857
[[Badness]] (Smith): 0.077857


=== 11-limit ===
=== 11-limit ===
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Optimal tunings:
Optimal tunings:
* CTE: ~2 = 1\1, ~10/7 = 639.036
* CTE: ~2 = 1200.000, ~10/7 = 639.036
* POTE: ~2 = 1\1, ~10/7 = 639.845
* POTE: ~2 = 1200.000, ~10/7 = 639.845


Optimal ET sequence: {{Optimal ET sequence| 15 }}
Optimal ET sequence: {{Optimal ET sequence| 15 }}


Badness: 0.043195
Badness (Smith): 0.043195


=== 13-limit ===
=== 13-limit ===
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Optimal tunings:
Optimal tunings:
* CTE: ~2 = 1\1, ~10/7 = 638.717
* CTE: ~2 = 1200.000, ~10/7 = 638.717
* POTE: ~2 = 1\1, ~10/7 = 640.230
* POTE: ~2 = 1200.000, ~10/7 = 640.230


Optimal ET sequence: {{Optimal ET sequence| 15 }}
Optimal ET sequence: {{Optimal ET sequence| 15 }}


Badness: 0.032653
Badness (Smith): 0.032653


[[Category:Temperament clans]]
[[Category:Temperament clans]]
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