TAMNAMS: Difference between revisions
m →Naming mos intervals: Corrected "augment" to "augmented" |
m →Naming specific mos intervals: Clarified multi-period mos interval modifiers |
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*For k-mossteps where k is greater than the number of pitches in the mos, those intervals have the same modifiers as an octave-reduced interval. Similarly, multiples of a mosoctave are perfect, as are generators raised by some multiple of the mosoctave. | *For k-mossteps where k is greater than the number of pitches in the mos, those intervals have the same modifiers as an octave-reduced interval. Similarly, multiples of a mosoctave are perfect, as are generators raised by some multiple of the mosoctave. | ||
For multi-period mosses, the additional rules apply: | For multi-period mosses, the additional rules apply: | ||
*For multi-period mosses | *For all multi-period mosses, there is an interval that occurs periodically that only appears as one size rather than two sizes. This interval, the mos's period, is '''perfect'''. Additionally: | ||
**Multiples of the period are '''perfect''', as are multiples of a mosoctave. | **Multiples of the period are '''perfect''', as are multiples of a mosoctave. | ||
**Both the bright and dark generators appear in every period, not just every octave. Generators that are raised some multiple of the mos's period are also '''perfect''', as are generators raised by some multiple of the mosoctave. | **Both the bright and dark generators appear in every period, not just every octave. Generators that are raised some multiple of the mos's period are also '''perfect''', as are generators raised by some multiple of the mosoctave. | ||
* | *Specifically for multi-period mosses that are of the form nL ns, the generators are '''major''' and '''minor''' rather than augmented, perfect, and diminished, and all other intervals (the mosoctave, mosunison, and multiples of the period) are perfect. This is to prevent ambiguity over calling every interval perfect. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Names for mos intervals for 3L 4s | |+Names for mos intervals for 3L 4s | ||