MOS naming: Difference between revisions

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TAMNAMS uses the following modifiers to denote different interval sizes within a MOS interval class:

* ~~Generator~~: ''perfect'' (~~e.g.~~ perfect mos4th, ~~Pmos4~~)

* For multiples of the period plus or minus 0 or 1 generators: ''perfect''. (Diatonic examples: perfect mos4th (Pmos4th), perfect mos5th (Pmos5th), perfect mos8th (Pmos8th), perfect mos12th (Pmos12th), etc.)

* ~~Smaller~~ interval ~~class~~ (~~when not the generator'~~s): ''~~small~~'' (e.g. ~~small~~ mos3rd, ~~smos3~~)

* For generic interval classes with 2 specific sizes of intervals therein (which are therefore separated by a chroma of c = L - s), ''major'' and ''minor'' are used to distinguish the larger (L) and smaller (s) intervals. Note that the generator, its period-equivalents, and the generator's period-complement and its period-equivalents are the only intervals excluded from this rule due to their inclusion in the previous rule. Diatonic examples: major mos2nd (abbreviated Lmos2nd), minor mos3rd (abbreviated smos3rd), major mos3rd (Lmos3rd), etc.)

* ~~Larger interval class~~ (~~when not the generator's~~): ''~~large~~'' (~~e.g~~. ~~large mos3rd~~, ~~Lmos3)~~

* If you subtract a chroma from a perfect (Pmos) or minor (smos) interval, it becomes ''diminished'' (d; dmos). If you subtract two chromas instead, it becomes ''doubly diminished'' (dd; ddmos). (Diatonic examples: diminished mos3rd (dmos3rd), diminished mos4th (dmos4th), doubly diminished mos5th (ddmos5th), etc.)

* "small" minus chroma or "perfect" minus chroma: ''diminished'' (~~e.g~~. diminished mos3rd, ~~dmos3~~)

* If you add a chroma to a perfect (Pmos) or major (Lmos) interval, it becomes ''augmented'' (A; Amos). If you add two chromas instead, it becomes ''doubly augmented'' (AA; AAmos). (Diatonic examples: augmented mos2nd (Amos2nd), augmented mos4th (Amos4th), doubly augmented mos5th (AAmos5th).)

* ~~"large" plus~~ chroma or ~~"perfect" plus chroma:~~ ''augmented'' (e.g. augmented ~~mos3rd~~, ~~Amos3~~)

* The pattern continues, ddd for triply diminished and AAA for triply augmented. Note that applying this operation more than 3 times is an unlikely usecase, and a shorthand notaton of d^3 and A^3 or an alternative notation or terminology entirely would likely be preferable in such circumstances, hence repetition of the corresponding letter is a sufficient system.

* ~~similarly~~, ~~doubly~~ augmented, ~~doubly diminished~~, ~~etc~~.

To denote interval classes within the MOS, TAMNAMS uses the generic prefix ''mos-'', or the specific prefixes and abbreviations listed below. Usage example: ''In ~~21edo [[oneirotonic]]~~, the ~~large mosthird~~ is a neutral third.''

To denote interval classes within the MOS, TAMNAMS uses the generic prefix ''mos-'', or the specific prefixes and abbreviations listed below. Usage example: ''In 31edo's ultrasoft mosh scale, the major mossecond is a neutral third and the major mosthird is a perfect fifth.''

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 TAMNAMS uses the following modifiers to denote different interval sizes within a MOS interval class:
-* Generator: ''perfect'' (e.g. perfect mos4th, Pmos4)
+* For multiples of the period plus or minus 0 or 1 generators: ''perfect''. (Diatonic examples: perfect mos4th (Pmos4th), perfect mos5th (Pmos5th), perfect mos8th (Pmos8th), perfect mos12th (Pmos12th), etc.)
-* Smaller interval class (when not the generator's): ''small'' (e.g. small mos3rd, smos3)
+* For generic interval classes with 2 specific sizes of intervals therein (which are therefore separated by a chroma of c = L - s), ''major'' and ''minor'' are used to distinguish the larger (L) and smaller (s) intervals. Note that the generator, its period-equivalents, and the generator's period-complement and its period-equivalents are the only intervals excluded from this rule due to their inclusion in the previous rule. Diatonic examples: major mos2nd (abbreviated Lmos2nd), minor mos3rd (abbreviated smos3rd), major mos3rd (Lmos3rd), etc.)
-* Larger interval class (when not the generator's): ''large'' (e.g. large mos3rd, Lmos3)
+* If you subtract a chroma from a perfect (Pmos) or minor (smos) interval, it becomes ''diminished'' (d; dmos). If you subtract two chromas instead, it becomes ''doubly diminished'' (dd; ddmos). (Diatonic examples: diminished mos3rd (dmos3rd), diminished mos4th (dmos4th), doubly diminished mos5th (ddmos5th), etc.)
-* "small" minus chroma or "perfect" minus chroma: ''diminished'' (e.g. diminished mos3rd, dmos3)
+* If you add a chroma to a perfect (Pmos) or major (Lmos) interval, it becomes ''augmented'' (A; Amos). If you add two chromas instead, it becomes ''doubly augmented'' (AA; AAmos). (Diatonic examples: augmented mos2nd (Amos2nd), augmented mos4th (Amos4th), doubly augmented mos5th (AAmos5th).)
-* "large" plus chroma or "perfect" plus chroma: ''augmented'' (e.g. augmented mos3rd, Amos3)
+* The pattern continues, ddd for triply diminished and AAA for triply augmented. Note that applying this operation more than 3 times is an unlikely usecase, and a shorthand notaton of d^3 and A^3 or an alternative notation or terminology entirely would likely be preferable in such circumstances, hence repetition of the corresponding letter is a sufficient system.
-* similarly, doubly augmented, doubly diminished, etc.
-To denote interval classes within the MOS, TAMNAMS uses the generic prefix ''mos-'', or the specific prefixes and abbreviations listed below. Usage example: ''In 21edo [[oneirotonic]], the large mosthird is a neutral third.''
+To denote interval classes within the MOS, TAMNAMS uses the generic prefix ''mos-'', or the specific prefixes and abbreviations listed below. Usage example: ''In 31edo's ultrasoft mosh scale, the major mossecond is a neutral third and the major mosthird is a perfect fifth.''
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