User:CompactStar/Nonoctave extension of ups and downs notation: Difference between revisions
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There seems to be somewhat less standardization | There seems to be somewhat less standardization of notation for nonoctave scales compared to octave-equivalent scales. So, here I will outline some notations for nonoctave scales, largely based on [[ups and downs notation]] and [[TAMNAMS]], with the most common periods (e.g. 3/2, 3/1, 4/1) being prioritized. | ||
== | == 3/2-equivalent notation == | ||
== | == 3/1-equivalent notation == | ||
For no-twos scales we can apply the Pythagorean principle of using the next highest prime number as the generator, and use ~[[5/3]] (rather than ~[[3/2]]) as a generator for the equivalent of the diatonic scale. | |||
Revision as of 09:03, 31 May 2023
There seems to be somewhat less standardization of notation for nonoctave scales compared to octave-equivalent scales. So, here I will outline some notations for nonoctave scales, largely based on ups and downs notation and TAMNAMS, with the most common periods (e.g. 3/2, 3/1, 4/1) being prioritized.
3/2-equivalent notation
3/1-equivalent notation
For no-twos scales we can apply the Pythagorean principle of using the next highest prime number as the generator, and use ~5/3 (rather than ~3/2) as a generator for the equivalent of the diatonic scale.