TAMNAMS: Difference between revisions

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* For nL ns scales, there's an exception to the above two rules. Only multiples of the period (1\n) are called "perfect". Other intervals are called major or minor, despite being period-equivalent to a generator. The reason for this exception is that otherwise all intervals would be called "perfect", leading to ambiguity.

* 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.)

** When modifying unisons or ~~equave~~ multiples, "mosdiminished" and "mosaugmented" could be used (e.g. "mosdiminished octave" instead of "diminished mosoctave"), because the ~~part that changes meaning~~ depending on the mos pattern ~~is not~~ the ~~unison or the equave~~.

** When modifying unisons or octave multiples, "mosdiminished" and "mosaugmented" could be used (e.g. "mosdiminished octave" instead of "diminished mosoctave"), because the unison and the octave don't change depending on the mos pattern, but the meanings of "augmented" and "diminished".

* 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).)

* 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.

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 * For nL ns scales, there's an exception to the above two rules. Only multiples of the period (1\n) are called "perfect". Other intervals are called major or minor, despite being period-equivalent to a generator. The reason for this exception is that otherwise all intervals would be called "perfect", leading to ambiguity.
 * 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.)
-** When modifying unisons or equave multiples, "mosdiminished" and "mosaugmented" could be used (e.g. "mosdiminished octave" instead of "diminished mosoctave"), because the part that changes meaning depending on the mos pattern is not the unison or the equave.
+** When modifying unisons or octave multiples, "mosdiminished" and "mosaugmented" could be used (e.g. "mosdiminished octave" instead of "diminished mosoctave"), because the unison and the octave don't change depending on the mos pattern, but the meanings of "augmented" and "diminished".
 * 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).)
 * 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.

TAMNAMS: Difference between revisions

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