User:Ganaram inukshuk/Notes: Difference between revisions

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 == Warped scales ==
-A somewhat generalized notion of warping, but applied to the mos 5L 2s, the equal-tempered whole-tone scale (effectively 6edo), and the equal-tempered chromatic scale (effectively 12edo).
+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.
-=== Warped 5L 2s ===
 {| class="wikitable"
-|+
+|+Warped 5L 2s
-! rowspan="2" |Original scale
+! rowspan="2" |Small step changes
-! colspan="2" |Addition
+! colspan="3" |Large step changes
-! colspan="2" |Removal
+|-
-! colspan="2" |Substitution
+!-1L
+!+0L
+!+1L
 |-
-!Step size
+!-1s
-!New scale
+|
-!Step size
+|5L 1s
-!New scale
+|6L 1s
-!Step size
-!New scale
 |-
-| rowspan="2" |5L 2s
+!+0s
-|1 L
+|5L 1s
+|'''5L 2s'''
 |6L 2s
-|1 L
+|-
-|4L 2s
+!+1s
-|1 L->s
 |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
 |-
-|1 s
+!+0s
-|5L 3s
+|
-|1 s
+|'''6edo'''
+|1L 6s
+|-
+!+1s
 |5L 1s
-|1 s->L
 |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.