101ed7: Difference between revisions

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m stub or Todo:expand • add table or make collapsible if needed • add harmonics if missing • improve linking if needed • add subheadings if needed
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Harmonics: Add detailed comparison with 36edo
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== Harmonics ==
== Harmonics ==
{{Harmonics in equal|101|7|1|intervals=prime}}
Compared to 36edo, 101ed7’s harmonics are almost exactly the same, but it has a slightly better 3/1, 7/1 and 13/1, and a slightly worse 2/1 and 5/1 versus 36edo.
{{Harmonics in equal|101|7|1|intervals=prime|collapsed=1|start=12}}
 
Overall this means 36edo is still better in the [[5-limit]], but 101ed7 better in the [[13-limit]]. And the [[7-limit]] and [[11-limit]] could go either way.
 
36edo’s 5-limit dominance flips on its head, though, if one approaches it as a [[dual-n|dual-5]] tuning. In that case, the fact that 101ed7’s 5/1 is closer to 50% relative error is actually a ''good'' thing, because it means the error on the worse of the two 5/1s is less.
 
So as a single-5 5-limit tuning, 36edo is better. But as a dual-5 5-limit tuning, 101ed7 is better.
 
And as a dual-5, dual-11 [[31-limit]] tuning, 101ed7 is exceptional for its size. It is very accurate.
{{Harmonics in equal|101|7|1|intervals=prime|columns=12}}
 
 
36edo for comparsion:
{{Harmonics in equal|36|2|1|intervals=prime|columns=12}}




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[[Category:Edonoi]]
[[Category:Edonoi]]