24ed5: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''[[Ed5|Division of the 5th harmonic]] into 24 equal parts''' (24ed5) is related to the [[Miracle|miracle temperament]]. The step size about 116.0964 cents. It is similar to every third step of [[31edo]], but with the 5/1 rather than the 2/1 being just. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4. | '''[[Ed5|Division of the 5th harmonic]] into 24 equal parts''' (24ed5) is related to the [[Miracle|miracle temperament]]. The step size about 116.0964 cents. It is similar to every third step of [[31edo]], but with the 5/1 rather than the 2/1 being just. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4. | ||
== Theory == | |||
From a no-twos-or-threes point of view, 24ed5 tempers out 125/121 in the 11-limit, equating [[11/5]] with the step of size [[2ed5]]. This implies a period of 1\2ed5 and a generator of approximately [[7/5]] (in this case 5\24ed5). | |||
== Interval table == | == Interval table == | ||