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...n "perfectly" even distribution (in the sense of every step size occupying MOS positions) may be impossible. ...etter, and the filling MOS is (a mode of) b'''y'''c'''z'''. A specific MOS substitution scale may be denoted {{nowrap|template_MOS_with_slot_letter_X(filling_MOS)} ...

Ternary scales with [[independent]] step sizes are rank-3. However, rank-3 scales need not be ternary. Duodene (16/15 9/8 6/5 5/4 4/3 45/32 3/2 8/5 5/3 9/5 1 == MV3 ternary scales == ...

...lies the hypothesis to definite ratios, whereas in the original aberrismic scales, it's applied to diatonic scale degrees. Commas have been described as a ty ...to avoid pythagorean and wolf intervals. Aberrismas may also appear in MOS scales, such as Garibaldi[17]. Superpyth[12] is a good example of the distinction ...

...[Meantone]]: that is, the minor and major thirds available in the diatonic MOS approximate the [[2.3.7 subgroup|septal]] thirds, [[7/6]] and [[9/7]], ofte ...between a large step and a small step, which is the difference between the MOS' major and minor) while a flat corresponds to -3 (representing the diatonic ...

...compression can be called '''tract'''; these may be prefixed to chords or scales to indicate stretching and compression. For example, [[13edo]]'s 0-4-7\13 ( == Scales == ...

...rrisma|aberrismic]] ternary scale with structure 5L5m6s and the sole [[MOS substitution]] scale of type 6s(5L5m). {{Cat|Ternary scales ...

This flow is facilitated by ILD, in which scales aren't a fixed set of notes, but a template for interval logic to be rearra Scales are useful for ILD, but not technically necessary. One may pick the desired ...

...and to transposition. This is because xenharmonic theory often deals with scales that don't follow the standard pattern of whole tones and semitones. In 12e ...thirds derive from [[4edo]] and [[3edo]], allowing for the construction of scales that repeat at fractions of the octave. This means that 12edo can represent ...

== Scales == ...of 18edo. The notations in parentheses, like "8L2s", are [[MOS]] or [[MOS substitution]] notation that describes the same thing as the other notation more concise ...