Whitewood family: Difference between revisions

+reduced generators
 
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{{Technical data page}}
The '''whitewood family''' of [[temperament]]s [[tempering out|tempers out]] the apotome, [[2187/2048]]. Consequently the [[3/2|fifth]]s are always 4/7 of an [[octave]], a distinctly flat 685.714 [[cent]]s. While quite flat, this is close enough to a just fifth to serve as one, and some people are fond of it.
The '''whitewood family''' of [[temperament]]s [[tempering out|tempers out]] the apotome, [[2187/2048]]. Consequently the [[3/2|fifth]]s are always 4/7 of an [[octave]], a distinctly flat 685.714 [[cent]]s. While quite flat, this is close enough to a just fifth to serve as one, and some people are fond of it.


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{{Mapping|legend=1| 7 11 0 36 | 0 0 1 -1 }}
{{Mapping|legend=1| 7 11 0 36 | 0 0 1 -1 }}
{{Multival|legend=1| 0 7 -7 11 -11 -36 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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{{Mapping|legend=1| 7 11 0 52 | 0 0 1 -2 }}
{{Mapping|legend=1| 7 11 0 52 | 0 0 1 -2 }}
{{Multival|legend=1| 0 7 -14 11 -22 -52 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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{{Mapping|legend=1| 7 11 0 20 | 0 0 1 0 }}
{{Mapping|legend=1| 7 11 0 20 | 0 0 1 0 }}
{{Multival|legend=1| 0 7 0 11 0 -20 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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: mapping generators: ~9/8, ~15/7
: mapping generators: ~9/8, ~15/7
{{Multival|legend=1| 0 14 7 22 11 -23 }}


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
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[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Pages with mostly numerical content]]
[[Category:Whitewood family| ]] <!-- main article -->
[[Category:Whitewood family| ]] <!-- main article -->
[[Category:Whitewood| ]] <!-- key article -->
[[Category:Whitewood| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]