User:Ganaram inukshuk/Notes: Difference between revisions
Proposed terms: mega-edo explicitly refers to divisions in the millions; deka-, hecto-, and kilo-edo for divisions in the tens, hundreds, and thousands |
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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. | * 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. | * 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. | |||