Kite's color notation: Difference between revisions

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=== Po and qu ===

'''Po''' and '''qu''' ("coo") (short forms '''p''' and '''q''') are two optional inflections that indicate raising/lowering by a pythagorean comma. (Mnemonics: p stands for pythagorean, and q is the mirror image of p.) Why would one want to ~~do that~~? Because by first subtracting that comma and then adding it on again, one can rename a note as another note. This is similar to [[Sagittal notation |Sagittal]] notation (see [http://tallkite.com/misc_files/Sagittal-JI-Translated-To-Colors.png Sagittal-JI-Translated-To-Colors.png]).

'''Po''' and '''qu''' ("coo") (short forms '''p''' and '''q''') are two optional inflections that indicate raising/lowering by a pythagorean comma. (Mnemonics: p stands for pythagorean, and q is the mirror image of p. The pythagorean comma is fifthward, hence 3-over, hence "-o".) Why would one want to raise by this comma? Because by first subtracting that comma and then adding it on again, one can rename a note as another note. This is similar to [[Sagittal notation |Sagittal]] notation (see [http://tallkite.com/misc_files/Sagittal-JI-Translated-To-Colors.png Sagittal-JI-Translated-To-Colors.png]).

For example, F# minus a pythagorean comma is Gb. And Gb plus a pythagorean comma is po Gb. Thus an alternate name for F# is po Gb. <u>Adding po raises the degree by one</u>. The new note name is always a 12edo equivalent of the old note name. Adding qu lowers the degree: {{nowrap|Gb {{=}} qu F#}}. If one is resolving from 31oGb to G, one can rename 31oGb as 31oqF# = thiwoqu F sharp.

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Temperaments are named after the comma(s) they temper out. Commas are named using an alternate format that replaces the degree (unison, 2nd, etc.) with the suffix "-ma" (mnemonics: com'''ma''', or -is'''ma''' as in schisma and kleisma). The degree isn't needed because the comma is ~~always~~ the smallest interval in cents of that color and magnitude. For example, the guma is the smallest of the 7 central gu intervals, which is [[81/80]]. Tempering out the guma creates [[Meantone]] or Guti or gT, where "-ti" and "T" stand for temperament. [[2048/2025]] is the saguguma, abbreviated sggM, and [[Srutal]] is Saguguti or sggT. [[Porcupine]] is Triyoti or 3yT. ~~Certain commas over 90¢ use the -bi- syllable. For example, [[Schismic]] is Layoti or LyT, but [[Mavila]] is Layobiti or LybT, with -bi- indicating it's the 2nd largest layo interval.~~

Temperaments are named after the comma(s) they temper out. Commas are named using an alternate format that replaces the degree (unison, 2nd, etc.) with the suffix "-ma" (mnemonics: com'''ma''', or -is'''ma''' as in schisma and kleisma). The degree isn't needed because the comma is assumed to be the smallest interval in cents of that color and magnitude. For example, the guma is the smallest of the 7 central gu intervals, which is [[81/80]]. Tempering out the guma creates [[Meantone]] or Guti or gT, where "-ti" and "T" stand for temperament. [[2048/2025]] is the saguguma, abbreviated sggM, and [[Srutal]] is Saguguti or sggT. [[Porcupine]] is Triyoti or 3yT.

The logic for M and T being upper case is that in color notation abbreviations, nouns are always capitalized and adjectives are generally not. Besides M and T, colorspeak nouns are all conventional terms: note names A B C D E F G, degrees 1 2 3 etc., and roman numerals I II III IV V VI VII. (L for large is an exception to this rule, because otherwise Ly7 would be ly7, which looks like a y7 chord on the tonic.)

Most wa commas use yet another alternate format, e.g. [[Mercator's comma]] is ~~wa-53~~ or ~~w-53~~. The only exceptions are lawama (LwM = A1), sawama (swM = m2) and lalawama (LLwM = pythagorean comma).

Certain commas over 90¢ use the -bi- syllable. For example, [[Schismic]] is Layoti or LyT, but [[Mavila]] is Layobiti or LybT, where "-bi-" and "-b-" indicate it's the 2nd largest layo interval. Likewise 135/128 is named layobima or LybM.

Most wa commas use yet another alternate format, e.g. [[Mercator's comma]] is 53wama or 53wM. The only exceptions are lawama (LwM = A1), sawama (swM = m2) and lalawama (LLwM = pythagorean comma).

Multi-comma temperaments have multiple commas in their name. [[Meantone family#Septimal meantone | Septimal Meantone]] is Gu & Ruyoyo and [[Meantone family#Dominant | Dominant Meantone]] is Gu & Rugu (-ti can be omitted when the ampersand is used). Untempered primes are included with a plus sign. The 2.3.5.7 prime subgroup with 81/80 tempered out is Guti + za = gT+z, and [[Blackwood]] is Sawati + ya = swT+y.

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 === Po and qu ===
-'''Po''' and '''qu''' ("coo") (short forms '''p''' and '''q''') are two optional inflections that indicate raising/lowering by a pythagorean comma. (Mnemonics: p stands for pythagorean, and q is the mirror image of p.) Why would one want to do that? Because by first subtracting that comma and then adding it on again, one can rename a note as another note. This is similar to [[Sagittal notation |Sagittal]] notation (see [http://tallkite.com/misc_files/Sagittal-JI-Translated-To-Colors.png Sagittal-JI-Translated-To-Colors.png]).
+'''Po''' and '''qu''' ("coo") (short forms '''p''' and '''q''') are two optional inflections that indicate raising/lowering by a pythagorean comma. (Mnemonics: p stands for pythagorean, and q is the mirror image of p. The pythagorean comma is fifthward, hence 3-over, hence "-o".) Why would one want to raise by this comma? Because by first subtracting that comma and then adding it on again, one can rename a note as another note. This is similar to [[Sagittal notation |Sagittal]] notation (see [http://tallkite.com/misc_files/Sagittal-JI-Translated-To-Colors.png Sagittal-JI-Translated-To-Colors.png]).
 For example, F# minus a pythagorean comma is Gb. And Gb plus a pythagorean comma is po Gb. Thus an alternate name for F# is po Gb. <u>Adding po raises the degree by one</u>. The new note name is always a 12edo equivalent of the old note name. Adding qu lowers the degree: {{nowrap|Gb {{=}} qu F#}}. If one is resolving from 31oGb to G, one can rename 31oGb as 31oqF# = thiwoqu F sharp.
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 {{Main | Color notation/Temperament names}}
-Temperaments are named after the comma(s) they temper out. Commas are named using an alternate format that replaces the degree (unison, 2nd, etc.) with the suffix "-ma" (mnemonics: com'''ma''', or -is'''ma''' as in schisma and kleisma). The degree isn't needed because the comma is always the smallest interval in cents of that color and magnitude. For example, the guma is the smallest of the 7 central gu intervals, which is [[81/80]]. Tempering out the guma creates [[Meantone]] or Guti or gT, where "-ti" and "T" stand for temperament. [[2048/2025]] is the saguguma, abbreviated sggM, and [[Srutal]] is Saguguti or sggT. [[Porcupine]] is Triyoti or 3yT. Certain commas over 90¢ use the -bi- syllable. For example, [[Schismic]] is Layoti or LyT, but [[Mavila]] is Layobiti or LybT, with -bi- indicating it's the 2nd largest layo interval.
+Temperaments are named after the comma(s) they temper out. Commas are named using an alternate format that replaces the degree (unison, 2nd, etc.) with the suffix "-ma" (mnemonics: com'''ma''', or -is'''ma''' as in schisma and kleisma). The degree isn't needed because the comma is assumed to be the smallest interval in cents of that color and magnitude. For example, the guma is the smallest of the 7 central gu intervals, which is [[81/80]]. Tempering out the guma creates [[Meantone]] or Guti or gT, where "-ti" and "T" stand for temperament. [[2048/2025]] is the saguguma, abbreviated sggM, and [[Srutal]] is Saguguti or sggT. [[Porcupine]] is Triyoti or 3yT.
 The logic for M and T being upper case is that in color notation abbreviations, nouns are always capitalized and adjectives are generally not. Besides M and T, colorspeak nouns are all conventional terms: note names A B C D E F G, degrees 1 2 3 etc., and roman numerals I II III IV V VI VII. (L for large is an exception to this rule, because otherwise Ly7 would be ly7, which looks like a y7 chord on the tonic.)
-Most wa commas use yet another alternate format, e.g. [[Mercator's comma]] is wa-53 or w-53. The only exceptions are lawama (LwM = A1), sawama (swM = m2) and lalawama (LLwM = pythagorean comma).
+Certain commas over 90¢ use the -bi- syllable. For example, [[Schismic]] is Layoti or LyT, but [[Mavila]] is Layobiti or LybT, where "-bi-" and "-b-" indicate it's the 2nd largest layo interval. Likewise 135/128 is named layobima or LybM.
+Most wa commas use yet another alternate format, e.g. [[Mercator's comma]] is 53wama or 53wM. The only exceptions are lawama (LwM = A1), sawama (swM = m2) and lalawama (LLwM = pythagorean comma).
 Multi-comma temperaments have multiple commas in their name. [[Meantone family#Septimal meantone | Septimal Meantone]] is Gu &amp; Ruyoyo and [[Meantone family#Dominant | Dominant Meantone]] is Gu &amp; Rugu (-ti can be omitted when the ampersand is used). Untempered primes are included with a plus sign. The 2.3.5.7 prime subgroup with 81/80 tempered out is Guti + za = gT+z, and [[Blackwood]] is Sawati + ya = swT+y.