22L 1s: Difference between revisions
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22L 1s is the scale that is most commonly produced by stacking the interval of [[33/32]]. If it had a name, it would most probably be '''quartismoid''', since its harmonic entropy minimum corresponds to tempering out the [[quartisma]] - five 33/32s being equated with 7/6. | 22L 1s is the scale that is most commonly produced by stacking the interval of [[33/32]]. If it had a name, it would most probably be '''quartismoid''', since its harmonic entropy minimum corresponds to tempering out the [[quartisma]] - five 33/32s being equated with 7/6. | ||
==Relation to equal divisions== | |||
From 1\22 to 4\91, 13 steps amount to a diatonic fifth. Between 4\91 and 1\23, 13 steps amount to a pelog / mavila fifth. | From 1\22 to 4\91, 13 steps amount to a diatonic fifth. Between 4\91 and 1\23, 13 steps amount to a pelog / mavila fifth. | ||
Further breaking down the categories, when the step ratio is greater than 4.472, then 13 generators amount to a superpyth fifth and the tuning approaches [[22edo]]. | |||
6 steps act as a pseudo-6/5, and when they actually act as 6/5 along with 5 steps being equal to 7/6, [[385/384]] is tempered out. If one were to instead tune in favour of 6/5 instead of 7/6, the resulting hardness would be aroun 1.233. | |||
== Scale tree == | == Scale tree == | ||