User:Ganaram inukshuk/Notes: Difference between revisions

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 |19 (reduced to 0)
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+N(k) notation can also be used to build a genchain that is agnostic of the size (in cents) of the generator and equave. For example, the genchain for standard notation can be written as N(0), N(4), N(8), N(12), N(16), N(20), N(24)+c, N(28)+c for the ascending chain. The descending chain can be written as N(0), N(3), N(6)-c, N(9)-c, N(12)-c, N(15)-c, N(18)-c, N(21)-c, or as N(0), N(-4), N(-8)-c, N(-12)-c, N(-16)-c, N(-20)-c, N(-24)-c, N(-28)-c. The value k isn't entered into the function, but rather its remainder when divided by the number of steps in the mos (modulo 7, for the case of standard notation), so N(8) is equivalent to N(1) for example.
+Since the gamut on C is based on the ionian mode, or produced using 5 generators going up and 1 going down, the first note after N(20) has a chroma added, producing N(24)+c. Simply put, the first 5 notes after the root have zero chromas added, the next 6 after that have 1 chroma added, the next 6 have 2 chromas added, and so on. For the descending chain, accidentals are subtracted after the first note, and every 6 notes thereafter has one more chroma subtracted.
+Ups and downs may also be represented, using the variable u. Up-C-sharp, or ^C#, is written as N(0)+c+u, where u is an edostep.
 === Chord notation using mossteps ===
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 * 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.
+== Warped scales ==
+A somewhat generalized notion of warping, described by the addition, removal, or substitution of a single step. The most common scales of 12edo are used as examples: 5L 2s, the whole-tone scale (effectively 6edo), the chromatic scale (effectively 12edo), and the diminished scale (4L 4s, hardness of 2).
+The simplest ways to warp a scale are through the addition of a step and the removal of a step. Substitution of a step, where one step is changed for a step of a different size, can be thought of removing a step of one size and adding a step of a different size.
+{| class="wikitable"
+|+Warped 5L 2s
+! rowspan="2" |Small step changes
+! colspan="3" |Large step changes
+|-
+!-1L
+!+0L
+!+1L
+|-
+!-1s
+|
+|5L 1s
+|6L 1s
+|-
+!+0s
+|5L 1s
+|'''5L 2s'''
+|6L 2s
+|-
+!+1s
+|4L 3s
+|5L 3s
+|
+|}
+{| class="wikitable"
+|+Warped 6edo
+(equal-tempered whole-tone scale)
+! rowspan="2" |Small step changes
+! colspan="3" |Large step changes
+|-
+!-1L
+!+0L
+!+1L
+|-
+!-1s
+|
+|
+|1L 5s
+|-
+!+0s
+|
+|'''6edo'''
+|1L 6s
+|-
+!+1s
+|5L 1s
+|6L 1s
+|
+|}
+{| class="wikitable"
+|+Warped 12edo
+(equal-tempered chromatic scale)
+! rowspan="2" |Small step changes
+! colspan="3" |Large step changes
+|-
+!-1L
+!+0L
+!+1L
+|-
+!-1s
+|
+|
+|1L 11s
+|-
+!+0s
+|
+|'''12edo'''
+|1L 12s
+|-
+!+1s
+|1L 11s
+|12L 1s
+|
+|}
+{| class="wikitable"
+|+Warped 4L 4s
+! rowspan="2" |Small step changes
+! colspan="3" |Large step changes
+|-
+!-1L
+!+0L
+!+1L
+|-
+!-1s
+|
+|4L 3s
+|5L 3s
+|-
+!+0s
+|3L 4s
+|'''4L 4s'''
+|5L 4s
+|-
+!+1s
+|3L 5s
+|4L 5s
+|
+|}
+== EDO/ED classifications ==
+* Deka-edo (deka-division): an equal division of the octave (or equave) where the number of divisions is in the tens.
+* Hecto-edo (hecto-division): an equal division of the octave (or equave) where the number of divisions is in the hundreds.
+* Kilo-edo (kilo-division): an equal division of the octave (or equave) where the number of divisions is in the thousands.
+* Mega-edo (mega-division): an equal division of the octave (or equave) where the number of divisions is in the millions.
+** This term already exists to refer to a large edo, but how large is subjective. Since the terms deka-, hecto-, and kilo-edo (and deka-, hecto-, and kilo-division) explicitly refer to specific powers of 10 (specifically, tens, hundreds, and thousands), so should mega-edo and mega-division to refer to divisions in the millions.