Kite's color notation/Temperament names: Difference between revisions

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== Explanation ==

[[Color notation]] can name every regular temperament. The name is the same as that of the comma(s) tempered out, but without the degree (unison, 2nd, etc.). The color defines a lattice row, and the magnitude (large, small, etc.) defines a '''segment''' of that row. Each segment contains 7 ratios. The comma that is tempered out is assumed to be the smallest in cents of those 7.

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* [''Is this rule needed?''] Multiplier syllables fuse into one multiplier word: tribizogu = (tribi) x (zogu) = z6g6, not (tri) x (bizogu).

* Avoid using the -a- delimiter if possible: z4gg = bizozogu, not quadzo-agugu

Therefore if the name starts with a multiplier word, and there's no -a- delimiter, that first multiplier word indicates the '''color GCD''' and thus the [[Pergen|pergen's]] split(s). e.g. bizozogu = (P8, P5/2, /1). In the list below, an asterisk marks cases where this isn't possible, and the GCD is hidden.

Therefore if the name starts with a multiplier word, and there's no -a- delimiter, that first multiplier word usually indicates the '''color GCD''' and thus the [[Pergen|pergen's]] split(s). e.g. bizozogu = (P8, P5/2, /1). In the list below, an asterisk marks cases where this isn't possible, and the GCD is hidden.

Hyphens are used to make the name easier to parse. There are strict rules for hyphenation, to ensure uniformity. Hyphens are inserted before every -a- delimiter and/or after the magnitude (after the final la- or sa-). However, the hyphen after the magnitude is omitted if it would create a subunit of 1 syllable. Thus triyo, sagugu ~~and lalagu~~ are unhyphenated.

Hyphens are used to make the name easier to parse. There are strict rules for hyphenation, to ensure uniformity. Hyphens are inserted before every -a- delimiter and/or after the magnitude (after the final la- or sa-). However, the hyphen after the magnitude is omitted if it would create a subunit of 1 syllable. Thus triyo, lalagu and sagugu are unhyphenated.

Gugu is generally preferred over bigu (zogugu not zobigu). But bizo is preferred over zozo sometimes to indicate the GCD, e.g. bizogugu not zozoquadgu. Likewise, tribigu is preferred over trigugu, as is quadbigu over quadgugu, etc.

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''Possible solution to the GCD problem:'' ''bi- + -a- = double-all,'' ''affects the whole name''

''z6g4 = tribizo-aquadgu* = biatrizo-agugu?

''z6g4 = tribizo-aquadgu* = biatrizo-agugu? ''

z6gg = tribizo-agugu* = biatrizo-agu?

z6g8 = tribizo-aquadbigu* = biatrizo-aquadgu?

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z8gg = quadbizo-agugu* = biaquadzo-agu?

z9g6 = tritrizo-atribigu* = triatrizo-agugu?

z9g3 = tritrizo-atrigu* = triatrizo-agu?''

z9g3 = tritrizo-atrigu* = triatrizo-agu?

== Tricolored examples ==

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+== Explanation ==
 [[Color notation]] can name every regular temperament. The name is the same as that of the comma(s) tempered out, but without the degree (unison, 2nd, etc.). The color defines a lattice row, and the magnitude (large, small, etc.) defines a '''segment''' of that row. Each segment contains 7 ratios. The comma that is tempered out is assumed to be the smallest in cents of those 7.
@@ Line 37: / Line 38: @@
 * [''Is this rule needed?''] Multiplier syllables fuse into one multiplier word: tribizogu = (tribi) x (zogu) = z<sup>6</sup>g<sup>6</sup>, not (tri) x (bizogu).
 * Avoid using the -a- delimiter if possible: z<sup>4</sup>gg = bizozogu, not quadzo-agugu
-Therefore if the name starts with a multiplier word, and there's no -a- delimiter, that first multiplier word indicates the '''color GCD''' and thus the [[Pergen|pergen's]] split(s). e.g. bizozogu = (P8, P5/2, /1). In the list below, an asterisk marks cases where this isn't possible, and the GCD is hidden.
+Therefore if the name starts with a multiplier word, and there's no -a- delimiter, that first multiplier word usually indicates the '''color GCD''' and thus the [[Pergen|pergen's]] split(s). e.g. bizozogu = (P8, P5/2, /1). In the list below, an asterisk marks cases where this isn't possible, and the GCD is hidden.
-Hyphens are used to make the name easier to parse. There are strict rules for hyphenation, to ensure uniformity. Hyphens are inserted before every -a- delimiter and/or after the magnitude (after the final la- or sa-). However, the hyphen after the magnitude is omitted if it would create a subunit of 1 syllable. Thus triyo, sagugu and lalagu are unhyphenated.
+Hyphens are used to make the name easier to parse. There are strict rules for hyphenation, to ensure uniformity. Hyphens are inserted before every -a- delimiter and/or after the magnitude (after the final la- or sa-). However, the hyphen after the magnitude is omitted if it would create a subunit of 1 syllable. Thus triyo, lalagu and sagugu are unhyphenated.
 Gugu is generally preferred over bigu (zogugu not zobigu). But bizo is preferred over zozo sometimes to indicate the GCD, e.g. bizogugu not zozoquadgu. Likewise, tribigu is preferred over trigugu, as is quadbigu over quadgugu, etc.
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 ''<u>Possible solution to the GCD problem</u>:'' ''bi- + -a- = double-all,'' ''affects the whole name''
-''z<sup>6</sup>g<sup>4</sup> = tribizo-aquadgu* = biatrizo-agugu?<br />
+''z<sup>6</sup>g<sup>4</sup> = tribizo-aquadgu* = biatrizo-agugu?<br />''
 z<sup>6</sup>gg = tribizo-agugu* = biatrizo-agu?<br />
 z<sup>6</sup>g<sup>8</sup> = tribizo-aquadbigu* = biatrizo-aquadgu?<br />
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 z<sup>8</sup>gg = quadbizo-agugu* = biaquadzo-agu?<br />
 z<sup>9</sup>g<sup>6</sup> = tritrizo-atribigu* = triatrizo-agugu?<br />
-z<sup>9</sup>g<sup>3</sup> = tritrizo-atrigu* = triatrizo-agu?''
+z<sup>9</sup>g<sup>3</sup> = tritrizo-atrigu* = triatrizo-agu?
 == Tricolored examples ==