Horwell family: Difference between revisions
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{{Technical data page}} | {{Technical data page}} | ||
The '''horwell family''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the [[horwell comma]] ({{monzo|legend=1| -16 1 5 1 }}, 65625/65536). | The '''horwell family''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the [[horwell comma]] ({{monzo|legend=1| -16 1 5 1 }}, [[ratio]]: 65625/65536). | ||
== Horwell == | == Horwell == | ||
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: 5/4 length = 0.6213, 16/15 length = 1.3863 | : 5/4 length = 0.6213, 16/15 length = 1.3863 | ||
: Angle (5/4, 16/15) = 64.6379 | : Angle (5/4, 16/15) = 64.6379 | ||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.0937{{c}}, ~3/2 = 701.8466{{c}}, ~5/4 = 385.9684{{c}} | |||
: [[error map]]: {{val| +0.094 -0.015 -0.158 -0.046 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.8243{{c}}, ~5/4 = 385.9221{{c}} | |||
: error map: {{val| 0.000 -0.131 -0.392 -0.261 }} | |||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
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{{Mapping|legend=1| 1 0 0 16 -9 | 0 1 0 -1 2 | 0 0 1 -5 4 }} | {{Mapping|legend=1| 1 0 0 16 -9 | 0 1 0 -1 2 | 0 0 1 -5 4 }} | ||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.2765{{c}}, ~3/2 = 702.1662{{c}}, ~5/4 = 386.2362{{c}} | |||
: [[error map]]: {{val| +0.276 +0.488 +0.475 -0.791 -1.764 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.1206{{c}}, ~5/4 = 386.1124{{c}} | |||
: error map: {{val| 0.000 +0.166 -0.201 -1.508 -2.627 }} | |||
{{Optimal ET sequence|legend=1| 22, 31, 53, 84e, 87, 118, 258e, 376de, 547dee }} | {{Optimal ET sequence|legend=1| 22, 31, 53, 84e, 87, 118, 258e, 376de, 547dee }} | ||
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{{Mapping|legend=1| 1 0 0 16 10 | 0 1 0 -1 1 | 0 0 2 -10 -7 }} | {{Mapping|legend=1| 1 0 0 16 10 | 0 1 0 -1 1 | 0 0 2 -10 -7 }} | ||
: mapping generators: ~2, ~3, ~352/315 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.0937{{c}}, ~3/2 = 701.8440{{c}}, ~352/315 = 192.9848{{c}} | |||
: [[error map]]: {{val| +0.094 -0.017 -0.157 -0.049 +0.007 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.8212{{c}}, ~352/315 = 192.9618{{c}} | |||
: error map: {{val| 0.000 -0.134 -0.390 -0.265 -0.229 }} | |||
{{Optimal ET sequence|legend=1| 25e, 31, 75e, 87, 118, 193, 224, 311, 342, 1592c, 1934ce, 2276cde, 2587cde, 2929cde, 3271ccde, 3613ccde, 5205bcccddee }} | {{Optimal ET sequence|legend=1| 25e, 31, 75e, 87, 118, 193, 224, 311, 342, 1592c, 1934ce, 2276cde, 2587cde, 2929cde, 3271ccde, 3613ccde, 5205bcccddee }} | ||
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[[Badness]] (Sintel): 0.607 | [[Badness]] (Sintel): 0.607 | ||
[[Category:Horwell family| ]] <!-- main article --> | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category: | [[Category:Catalogs of rank-3 temperaments]] | ||