User:Ganaram inukshuk/Notes: Difference between revisions
→Proposal: strict and weak definitions for a chromatic pair: Added stipulations, per talk page for chromatic pairs; definition (or at least my attempt at such) is still wip |
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If the quantities of mossteps s1 and s2 are different, then the symmetric chrods are quasisymmetric instead. The interval sizes don't need to be major or minor, either; they can also be augmented, perfect, or diminished if it's a generator. | If the quantities of mossteps s1 and s2 are different, then the symmetric chrods are quasisymmetric instead. The interval sizes don't need to be major or minor, either; they can also be augmented, perfect, or diminished if it's a generator. | ||
== Proposal: strict and weak definitions for a chromatic pair == | == Proposal (wip): strict and weak definitions for a chromatic pair == | ||
=== Strict definition === | === Strict definition === | ||
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=== Weak definition === | === Weak definition === | ||
A chromatic pair, under the weak definition, is a pair of mosses zL ws and xL ys, such that x = nz + w and y = z. The strict definition is such that n = 1. However, rather than the mosses zL ys and xL ys that form the chromatic scale of xA (x+y)B, it's the mosses zL ((n-1)z+w)s and xL ys that form the chromatic scale. | A chromatic pair, under the weak definition, is a pair of mosses zL ws and xL ys, such that x = nz + w and y = z. The strict definition is such that n = 1. However, rather than the mosses zL ys and xL ys that form the chromatic scale of xA (x+y)B, it's the mosses zL ((n-1)z+w)s and xL ys that form the chromatic scale. | ||
=== Things to consider === | |||
* A haplotonic scale's note count should be 4 or 5 notes, corresponding to the note counts of the grandchild mosses of 1L 1s: 2L 3s, 3L 2s, 1L 3s, and 3L 1s. | |||
* An albitonic scale's note count should be around 7 notes. | |||