Kite's color notation: Difference between revisions

Line 255:

Keys and scales are loosely named after the colors used. Wa is assumed present. In 5-limit JI, the key/scale of A minor is A gu. The Bbh7 - Ebh7 - Bbh7 - Fh9 example in the staff notation section is in Bb yo zo. Like chords, keys can be classified as bicolored (A gu), tricolored (Bb yo zo), etc.

Analogous to the relative and parallel major or minor, one can modulate to relative gu, parallel ru, etc. Modulating from a yo key to the relative gu means using gu chords on yo roots. Modulating from yo to the parallel gu means using gu chords on wa roots. Going from yo zo to the relative gu means using chords with gu and/or ru in them on yo roots. Going to the relative ru means using the same chords on zo roots. Going from yo zo to the parallel gu ru means using the same chords on wa roots.

Analogous to the relative and parallel major or minor, one can modulate to relative gu, parallel ru, etc. Modulating from a yo key to the relative gu means using gu chords on yo roots. Modulating from yo to the parallel gu means using gu chords on wa roots. Going from yo zo to the relative gu means using chords with gu and/or ru in them on yo roots. Going to the relative ru means using the same chords on zo roots. Going from yo zo to the parallel gu ru means using the same chords on wa roots. One can also modulate '''fourthwards''' or '''fifthwards''', abbreviated '''4thwd''' or '''5thwd'''.

== Temperament Names ==

Temperaments are named after the color of the comma(s) they temper out. Meantone = the gu temperament = gT. Porcupine = triple yo temperament = y3T. 7-limit Porcupine = triple yo and ru = y3&rT. Each variety of porcupine has a different name, thus color names provide more information than standard temperament names. Both porcupines have the same [[pergen]], third-4th, thus pergens group together similar temperaments.

Temperaments are named after the color of the comma(s) they temper out. [[Meantone]] = the gu temperament = gT. [[Porcupine]] = triple yo temperament = y3T. [[Porcupine family|7-limit Porcupine]] = triple yo and ru = y3&rT. Each variety of porcupine has a different name, thus color names provide more information than standard temperament names. Both porcupines have the same [[pergen]], third-4th, thus pergens group together similar temperaments.

The magnitude is part of the name: ~~Schismic~~ is LyT and ~~shrutal~~ is sggT. The degree is too, but only if the comma is not the smallest of the 7 ratios of that magnitude and color: Mavila is Ly1T and [[Father]] is g2T. The degree is never needed if the comma is ≤ 90¢.

The magnitude is part of the name: [[Schismatic]] is LyT and [[Diaschismic]] is sggT. The degree is too, but only if the comma is not the smallest of the 7 ratios of that magnitude and color: [[Mavila]] is Ly1T and [[Father family|Father]] is g2T. The degree is never needed if the comma is ≤ 90¢.

If the comma is wa, an edo is implied. The temperament is named after the edo, not the comma. 2.3.5.7 and the pyth comma and 225/224 is 12edo&ryyT. If the comma(s) don't include every prime in the subgroup, some primes are untempered. These are added with '''plus''': Blackwood is 5edo+yT = 5-edo plus ya. 2.3.5.7.11 and 81/80 = g+z1aT = gu plus zala.

Line 271:

Color notation merely renames ratios more conveniently, and strictly speaking, it only applies to just intonation. However, ratios are often used to loosely describe edo notes, and colors can be used as well. A more precise application is to use [[Ups and Downs Notation|'''ups''' '''and''' '''downs''']] (^ and v) as "virtual colors", accidentals that always map to exactly one edostep. Ups and downs are used on the score just like color accidentals are. Notes are named e.g. up C sharp = ^C#. Some edos like 9, 12, 16, 19, 23 and 26 don't require ups and downs.

Unlike actual colors, virtual colors generally add up to something simpler, e.g. three of 22edo's ups adds up to an A1. Unlike actual colors, virtual colors combine with major, minor, etc. Intervals are named upmajor 3rd = ^M3, up 4th = ^4, downaug 5th = vA5, etc. Chords are named C upminor 7th = C^m7, etc.

Unlike actual colors, virtual colors generally add up to something simpler, e.g. three of 22edo's ups adds up to an A1. Unlike actual colors, virtual colors combine with major, minor, etc. Intervals are named upmajor 3rd = ^M3, up 4th = ^4, downaug 5th = vA5, etc. Chords are named C upminor 7th = C^m7 = C ^Eb G ^Bb, etc.

'''Plain''' means neither up nor down, analogous to natural meaning neither sharp nor flat. '''Mid''', abbreviated ~, means exactly midway between major and minor. Mid simplifies 72edo notation: m2, ^m2, v~2, ~2, ^~2, vM2, M2. Upmid (^~) means one edostep above mid in 72edo, but one half edostep above mid in 53edo. Mid is only used in relative notation, it never applies to notes or appears on the staff.

'''Plain''' means neither up nor down, analogous to natural meaning neither sharp nor flat. '''Mid''', abbreviated ~, means exactly midway between major and minor. Mid simplifies 72edo notation: m2, ^m2, v~2, ~2, ^~2, vM2, M2. Upmid (^~) means one edostep above mid in 72edo, but one half edostep above mid in 53edo. Mid is only used in relative notation, it never applies to notes and never appears on the staff.

Rank-2 temperaments can be notated with ups and downs as well. Some temperaments require an additional pair of virtual colors, '''lifts''' and '''drops''' (/ and \). ~~Plain and mid apply to rank~~-2. See [[Pergen|pergens]].

Rank-2 temperaments can be notated with ups and downs as well. Plain and mid are also used. Some temperaments require an additional pair of virtual colors, '''lifts''' and '''drops''' (/ and \). Notes are named lift C = /C, downdrop F sharp = v\F#, etc. Intervals are named drop 4th = \4, uplift major 3rd = ^/M3, etc. Chords are named C-up lift-seven = C^,/7 = C ^E G /Bb, C uplift-seven = C^/7 = C ^/E G ^/Bb, etc. See [[Pergen|pergens]].

[[Category:color_notation]]

[[Category:ji]]

[[Category:notation]]

@@ Line 255: / Line 255: @@
 Keys and scales are loosely named after the colors used. Wa is assumed present. In 5-limit JI, the key/scale of A minor is A gu. The Bbh7 - Ebh7 - Bbh7 - Fh9 example in the staff notation section is in Bb yo zo. Like chords, keys can be classified as bicolored (A gu), tricolored (Bb yo zo), etc.
-Analogous to the relative and parallel major or minor, one can modulate to relative gu, parallel ru, etc. Modulating from a yo key to the relative gu means using gu chords on yo roots. Modulating from yo to the parallel gu means using gu chords on <u>wa</u> roots. Going from yo zo to the relative gu means using chords with gu and/or ru in them on yo roots. Going to the relative ru means using the same chords on zo roots. Going from yo zo to the parallel gu ru means using the same chords on wa roots.
+Analogous to the relative and parallel major or minor, one can modulate to relative gu, parallel ru, etc. Modulating from a yo key to the relative gu means using gu chords on yo roots. Modulating from yo to the parallel gu means using gu chords on <u>wa</u> roots. Going from yo zo to the relative gu means using chords with gu and/or ru in them on yo roots. Going to the relative ru means using the same chords on zo roots. Going from yo zo to the parallel gu ru means using the same chords on wa roots. One can also modulate '''fourthwards''' or '''fifthwards''', abbreviated '''4thwd''' or '''5thwd'''.
 == Temperament Names ==
-Temperaments are named after the color of the comma(s) they temper out. Meantone = the gu temperament = gT. Porcupine = triple yo temperament = y<sup>3</sup>T. 7-limit Porcupine = triple yo and ru = y<sup>3</sup>&rT. Each variety of porcupine has a different name, thus color names provide more information than standard temperament names. Both porcupines have the same [[pergen]], third-4th, thus pergens group together similar temperaments.
+Temperaments are named after the color of the comma(s) they temper out. [[Meantone]] = the gu temperament = gT. [[Porcupine]] = triple yo temperament = y<sup>3</sup>T. [[Porcupine family|7-limit Porcupine]] = triple yo and ru = y<sup>3</sup>&rT. Each variety of porcupine has a different name, thus color names provide more information than standard temperament names. Both porcupines have the same [[pergen]], third-4th, thus pergens group together similar temperaments.
-The magnitude is part of the name: Schismic is LyT and shrutal is sggT. The degree is too, but only if the comma is not the smallest of the 7 ratios of that magnitude and color: Mavila is Ly1T and [[Father]] is g2T. The degree is never needed if the comma is ≤ 90¢.
+The magnitude is part of the name: [[Schismatic]] is LyT and [[Diaschismic]] is sggT. The degree is too, but only if the comma is not the smallest of the 7 ratios of that magnitude and color: [[Mavila]] is Ly1T and [[Father family|Father]] is g2T. The degree is never needed if the comma is ≤ 90¢.
 If the comma is wa, an edo is implied. The temperament is named after the edo, not the comma. 2.3.5.7 and the pyth comma and 225/224 is 12edo&ryyT. If the comma(s) don't include every prime in the subgroup, some primes are untempered. These are added with '''plus''': Blackwood is 5edo+yT = 5-edo plus ya. 2.3.5.7.11 and 81/80 = g+z1aT = gu plus zala.
@@ Line 271: / Line 271: @@
 Color notation merely renames ratios more conveniently, and strictly speaking, it only applies to just intonation. However, ratios are often used to loosely describe edo notes, and colors can be used as well. A more precise application is to use [[Ups and Downs Notation|'''ups''' '''and''' '''downs''']] (^ and v) as "virtual colors", accidentals that always map to exactly one edostep. Ups and downs are used on the score just like color accidentals are. Notes are named e.g. up C sharp = ^C#. Some edos like 9, 12, 16, 19, 23 and 26 don't require ups and downs.
-Unlike actual colors, virtual colors generally add up to something simpler, e.g. three of 22edo's ups adds up to an A1. Unlike actual colors, virtual colors combine with major, minor, etc. Intervals are named upmajor 3rd = ^M3, up 4th = ^4, downaug 5th = vA5, etc. Chords are named C upminor 7th = C^m7, etc.
+Unlike actual colors, virtual colors generally add up to something simpler, e.g. three of 22edo's ups adds up to an A1. Unlike actual colors, virtual colors combine with major, minor, etc. Intervals are named upmajor 3rd = ^M3, up 4th = ^4, downaug 5th = vA5, etc. Chords are named C upminor 7th = C^m7 = C ^Eb G ^Bb, etc.
-'''Plain''' means neither up nor down, analogous to natural meaning neither sharp nor flat. '''Mid''', abbreviated ~, means exactly midway between major and minor. Mid simplifies 72edo notation: m2, ^m2, v~2, ~2, ^~2, vM2, M2. Upmid (^~) means one edostep above mid in 72edo, but one half edostep above mid in 53edo. Mid is only used in relative notation, it never applies to notes or appears on the staff.
+'''Plain''' means neither up nor down, analogous to natural meaning neither sharp nor flat. '''Mid''', abbreviated ~, means exactly midway between major and minor. Mid simplifies 72edo notation: m2, ^m2, v~2, ~2, ^~2, vM2, M2. Upmid (^~) means one edostep above mid in 72edo, but one half edostep above mid in 53edo. Mid is only used in relative notation, it never applies to notes and never appears on the staff.
-Rank-2 temperaments can be notated with ups and downs as well. Some temperaments require an additional pair of virtual colors, '''lifts''' and '''drops''' (/ and \). Plain and mid apply to rank-2. See [[Pergen|pergens]].
+Rank-2 temperaments can be notated with ups and downs as well. Plain and mid are also used. Some temperaments require an additional pair of virtual colors, '''lifts''' and '''drops''' (/ and \). Notes are named lift C = /C, downdrop F sharp = v\F#, etc. Intervals are named drop 4th = \4, uplift major 3rd = ^/M3, etc. Chords are named C-up lift-seven = C^,/7 = C ^E G /Bb, C uplift-seven = C^/7 = C ^/E G ^/Bb, etc. See [[Pergen|pergens]].
 [[Category:color_notation]]
 [[Category:ji]]
 [[Category:notation]]