User:Ganaram inukshuk/Notes: Difference between revisions
→Miscellaneous notation: Added proposal for a strict and weak definition of a chromatic pair; doesn't cover all the possible cases for the chromatic pair page |
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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 == | |||
=== Strict definition === | |||
A '''chromatic pair''' is a pair of mosses zL ws and xL ys within some temperament, such that x = z + w and y = z, where zL ws is a '''haplotonic''' '''scale''' and xL ys is an '''albitonic''' '''scale'''. The large steps of the albitonic scale are such that haplotonic scale can be found within the large steps, forming a '''chromatic scale''' of either xL (x+y)s or (x+y)L xs. | |||
=== 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. | |||