TAMNAMS: Difference between revisions
Wrote the "Alternate non-ordinal names" section |
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* 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).) | * 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. | * 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. | ||
=== Alternate non-ordinal names === | |||
The way intervals are named above (and in 12edo theory) has a problem. An interval that's n steps wide is named "(n+1)th". This means that adding two intervals is more complicated than it should be. Stacking two fifths makes a ninth, when naively it would make a tenth. We're used to this for the diatonic scale, but when dealing with unfamiliar scale structures, it can be very confusing. | |||
I (SupahstarSaga) propose a variant name system. (This is similar to the "k-shift" suggestion above.) First, use the term "mosstep" for steps of the mos, large or small. From there, an interval which is k mossteps wide is a "k-mosstep", short for "k-mosstep interval". Major, minor, perfect, etc would apply as established. The names "mosoctave" and "mosunison" could still be used, interchangeably with "n-mosstep" (for an n-tone mos) and "0-mosstep" respectively. This change makes the arithmetic needed to understand mos intervals much smoother. | |||
Note: If this change becomes more accepted, it could replace the ordinal names above. | |||
{| class="wikitable" | |||
|+Example: 3L4s | |||
!Interval name | |||
!Abbreviation | |||
!10edo Size | |||
!Gens up | |||
|- | |||
|Perfect mosunison | |||
|P0ms | |||
|0\10 | |||
|0 | |||
|- | |||
|Minor mosstep (or small mosstep) | |||
|m1ms | |||
|1\10 | |||
| -3 | |||
|- | |||
|Major mosstep (or large mosstep) | |||
|M1ms | |||
|2\10 | |||
|4 | |||
|- | |||
|Diminished 2-mosstep | |||
|d2ms | |||
|2\10 | |||
| -6 | |||
|- | |||
|Perfect 2-mosstep | |||
|P2ms | |||
|3\10 | |||
|1 | |||
|- | |||
|Minor 3-mosstep | |||
|m3ms | |||
|4\10 | |||
| -2 | |||
|- | |||
|Major 3-mosstep | |||
|M3ms | |||
|5\10 | |||
|5 | |||
|- | |||
|Minor 4-mosstep | |||
|m4ms | |||
|5\10 | |||
| -5 | |||
|- | |||
|Major 4-mosstep | |||
|M4ms | |||
|6\10 | |||
|2 | |||
|- | |||
|Perfect 5-mosstep | |||
|P5ms | |||
|7\10 | |||
| -1 | |||
|- | |||
|Augmented 5-mosstep | |||
|A5ms | |||
|8\10 | |||
|6 | |||
|- | |||
|Minor 6-mosstep | |||
|m6ms | |||
|8\10 | |||
| -4 | |||
|- | |||
|Major 6-mosstep | |||
|M6ms | |||
|9\10 | |||
|3 | |||
|- | |||
|Perfect mosoctave | |||
|P7ms | |||
|10\10 | |||
|0 | |||
|} | |||
== MOS pattern names == | == MOS pattern names == | ||