Pseudo-MOS scale: Difference between revisions

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A '''pseudo-MOS scale'''{{idiosyncratic}} is a [[ternary scale]] which is a [[MOS scale]] with a single step smaller than all the others, inserted at the end of the scale once per period. This "ultra-small step" is sometimes but not always equivalent to the aberrisma in [[aberrismic theory]]. In this case, the former large and small steps of the MOS are notated as L and M, and the new step is notated as s.  
A '''pseudo-MOS scale'''{{idiosyncratic}} is a [[ternary scale]] which is a [[MOS scale]] with a single step smaller than all the others, inserted at the end of the scale once per period. This "ultra-small step" is sometimes but not always equivalent to the aberrisma in [[aberrismic theory]]. In this case, the former large and small steps of the MOS are notated as L and M, and the new step is notated as s.  


The name was coined by [[User:CompactStar|CompactStar]]. Pseudo-MOSes are simpler in structure than other ternary scales, because they are simply a [[stretched tuning|compressed]] MOS scale with a pure octave at the end. However, importantly, the modes of a pseudo-MOS scale are not always pseudo-MOS (even if other pseudo-MOSes can be created from different modes of the original scale), and pseudo-MOS scales are not necessarily [[max-variety 3]]. There is a distinction that is required between the modes of a pseudo-MOS and pseudo-MOS versions of the modes of the original scale, thus CompactStar has coined ''pseudo-modes'' for the latter. A pseudo-MOS scale exhibits [[Rothenberg propriety]] provided the MOS scale without the small step is proper.
The name was coined by [[User:CompactStar|CompactStar]]. Pseudo-MOSes are simpler in structure than other ternary scales, because they are simply a [[stretched tuning|compressed]] MOS scale with a pure octave at the end. However, importantly, the modes of a pseudo-MOS scale are not always pseudo-MOS (even if other pseudo-MOSes can be created from different modes of the original scale), and pseudo-MOS scales are not necessarily [[MV3]]. There is a distinction that is required between the modes of a pseudo-MOS and pseudo-MOS versions of the modes of the original scale, thus CompactStar has coined ''pseudo-modes'' for the latter. A pseudo-MOS scale exhibits [[Rothenberg propriety]] provided the MOS scale without the small step is proper.


[[Pinedye]] (5L 2m 1s) is the "pseudo-diatonic scale" and it is a simple example of pseudo-MOS scale. Not all 5L 2m 1s patterns are considered a pseudo-MOS, including the only one which is condiitionally MV3, as it is not a diatonic mode with a small step at the end. In groundfalt's aberrismic theory, the small step of pinedye represents an [[81/80]] commatic inflection in the 5-limit untempered interpretation.
[[Pinedye]] (5L 2m 1s) is the "pseudo-diatonic scale" and it is a simple example of pseudo-MOS scale. Not all 5L 2m 1s patterns are considered a pseudo-MOS, including the only one which is condiitionally MV3, as it is not a diatonic mode with a small step at the end. In groundfalt's aberrismic theory, the small step of pinedye represents an [[81/80]] commatic inflection in the 5-limit untempered interpretation.

Revision as of 08:18, 4 March 2024

A pseudo-MOS scale[idiosyncratic term] is a ternary scale which is a MOS scale with a single step smaller than all the others, inserted at the end of the scale once per period. This "ultra-small step" is sometimes but not always equivalent to the aberrisma in aberrismic theory. In this case, the former large and small steps of the MOS are notated as L and M, and the new step is notated as s.

The name was coined by CompactStar. Pseudo-MOSes are simpler in structure than other ternary scales, because they are simply a compressed MOS scale with a pure octave at the end. However, importantly, the modes of a pseudo-MOS scale are not always pseudo-MOS (even if other pseudo-MOSes can be created from different modes of the original scale), and pseudo-MOS scales are not necessarily MV3. There is a distinction that is required between the modes of a pseudo-MOS and pseudo-MOS versions of the modes of the original scale, thus CompactStar has coined pseudo-modes for the latter. A pseudo-MOS scale exhibits Rothenberg propriety provided the MOS scale without the small step is proper.

Pinedye (5L 2m 1s) is the "pseudo-diatonic scale" and it is a simple example of pseudo-MOS scale. Not all 5L 2m 1s patterns are considered a pseudo-MOS, including the only one which is condiitionally MV3, as it is not a diatonic mode with a small step at the end. In groundfalt's aberrismic theory, the small step of pinedye represents an 81/80 commatic inflection in the 5-limit untempered interpretation.