101ed7: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''101 divisions of the seventh harmonic''' ('''101ed7''') is related to [[36edo]] (sixth-tone tuning), but with the 7/1 rather than the 2/1 being just. The octave is about 1.2347 [[cent]]s stretched and the step size is about 33.3547 cents. It is consistent to the 8-[[integer-limit]]. This tuning tempers out the [[syntonic comma]].
{{ED intro}}


Lookalikes: [[21edf]], [[36edo]], [[57edt]], [[93ed6]]
101ed7 is related to [[36edo]] (sixth-tone tuning), but with the 7/1 rather than the 2/1 being just. The octave is stretched by about 1.2347 [[cent]]s. It tempers out the [[syntonic comma]] and is consistent to the 8-[[integer-limit]].
 
Lookalikes: [[21edf]], [[36edo]], [[57edt]], [[93ed6]], [[129ed12]]


== Intervals ==
== Intervals ==
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== Harmonics ==
== Harmonics ==
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.
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.


Overall this means 36edo is still better in the [[5-limit]], but 101ed7 is better in the [[13-limit]]. (The [[7-limit]] and [[11-limit]] could go either way.)
Overall this means 36edo is still better in the [[5-limit]], but 101ed7 is better in the [[13-limit]]. (The [[7-limit]] and [[11-limit]] could go either way.)