Wesley family: Difference between revisions
Review optimal ET sequences |
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{{Technical data page}} | |||
The '''wesley family''' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] the [[wesley comma]], 78125/73728. The wesley comma is unchanged in [[Wesley Woolhouse]]'s 7/26-comma meantone – it is an [[Eigenmonzo|eigenmonzo (i.e. unchanged-interval)]]. Here is [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12793.html a talk by Gene Ward Smith]. | The '''wesley family''' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] the [[wesley comma]], 78125/73728. The wesley comma is unchanged in [[Wesley Woolhouse]]'s 7/26-comma meantone – it is an [[Eigenmonzo|eigenmonzo (i.e. unchanged-interval)]]. Here is [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12793.html a talk by Gene Ward Smith]. | ||
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{{Mapping|legend=1| 1 4 3 8 | 0 -7 -2 -15 }} | {{Mapping|legend=1| 1 4 3 8 | 0 -7 -2 -15 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/7 = 415.519 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/7 = 415.519 | ||
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{{Mapping|legend=1| 1 4 3 9 | 0 -7 -2 -18 }} | {{Mapping|legend=1| 1 4 3 9 | 0 -7 -2 -18 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~35/27 = 413.513 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~35/27 = 413.513 | ||
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== Roman == | == Roman == | ||
{{See also| Avicennmic temperaments | {{See also| Avicennmic temperaments }} | ||
=== 7-limit a.k.a. crusher === | === 7-limit a.k.a. crusher === | ||
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{{Mapping|legend=1| 1 4 3 -1 | 0 -7 -2 11 }} | {{Mapping|legend=1| 1 4 3 -1 | 0 -7 -2 11 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~63/50 = 414.552 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~63/50 = 414.552 | ||
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{{Mapping|legend=1| 2 1 4 5 | 0 7 2 2 }} | {{Mapping|legend=1| 2 1 4 5 | 0 7 2 2 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~192/175 = 185.738 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~192/175 = 185.738 | ||
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[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Wesley family| ]] <!-- main article --> | [[Category:Wesley family| ]] <!-- main article --> | ||
[[Category:Wesley| ]] <!-- key article --> | [[Category:Wesley| ]] <!-- key article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||