Syntonic–kleismic equivalence continuum: Difference between revisions

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Restore the optimal GPV sequence with explanation
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== Graywood ==
== Graywood ==
Named by [[CompactStar]] in 2024, graywood tempers out the [[19-comma]], corresponding to {{nowrap| ''n'' {{=}} 0 }}.  
Named by [[CompactStar]] in 2024, graywood tempers out the [[19-comma]], corresponding to {{nowrap| ''n'' {{=}} 0 }}. It takes [[19edo]]'s closed [[circle of fifths]], but adds an independent generator for [[prime interval|prime]] [[5/1|5]]. 19 is the only equal temperament that makes it to the optimal ET sequence as all the small edo tunings, e.g. [[38edo|38c-edo]] or [[57edo|57c-edo]], are not nearly as accurate as 19 itself.  


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5
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: error map: {{val| 0.000 -7.218 -3.525 }}
: error map: {{val| 0.000 -7.218 -3.525 }}


[[Support]]ing [[ET]]s: {{EDOs|19, 38c, 57c, 76c, 95bcc }}
{{Optimal ET sequence|legend=1| 19 }}


[[Badness]] (Sintel): 32.4
[[Badness]] (Sintel): 32.4