Kite Giedraitis: Difference between revisions

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His [[Kite's_color_notation|color notation]] represents each prime via 1 or 2 colors (2 = clear, 3 = wa, 5 = yo for 5-over and gu for 5-under, 7 = zo and ru, etc.). Combined with standard diatonic notation, any ratio can be expressed as a color plus a degree, e.g. "zo third" for 7/6. There is a rigorous one-to-one correspondence between ratios and color notation, making it ideal for JI. But it can also be applied to temperaments and EDOs, since ratios are often used to refer to intervals in such tunings.

[[~~Ups_and_Downs_Notation~~|Ups and downs notation]] can notate every EDO with only 2 new accidentals. The standard seven letters and the standard sharp and flat is used to represent the chain of fifths. For EDOs in which 7 fifths octave-reduce to one EDOstep (12edo, 19edo, etc.) this is sufficient. For other EDOs, the up symbol "^" and the down symbol "v" represent raising and lowering the pitch by one EDOstep.

[[Ups and downs notation|Ups and downs notation]] can notate every EDO with only 2 new accidentals. The standard seven letters and the standard sharp and flat is used to represent the chain of fifths. For EDOs in which 7 fifths octave-reduce to one EDOstep (12edo, 19edo, etc.) this is sufficient. For other EDOs, the up symbol "^" and the down symbol "v" represent raising and lowering the pitch by one EDOstep.

Along with Praveen Venkataramana, he has developed the concept of a [[pergen|pergen]], which categorizes rank-2 and rank-3 temperaments. The pergen article also exhaustively covers how to notate them.

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 His [[Kite's_color_notation|color notation]] represents each prime via 1 or 2 colors (2 = clear, 3 = wa, 5 = yo for 5-over and gu for 5-under, 7 = zo and ru, etc.). Combined with standard diatonic notation, any ratio can be expressed as a color plus a degree, e.g. "zo third" for 7/6. There is a rigorous one-to-one correspondence between ratios and color notation, making it ideal for JI. But it can also be applied to temperaments and EDOs, since ratios are often used to refer to intervals in such tunings.
-[[Ups_and_Downs_Notation|Ups and downs notation]] can notate every EDO with only 2 new accidentals. The standard seven letters and the standard sharp and flat is used to represent the chain of fifths. For EDOs in which 7 fifths octave-reduce to one EDOstep (12edo, 19edo, etc.) this is sufficient. For other EDOs, the up symbol "^" and the down symbol "v" represent raising and lowering the pitch by one EDOstep.
+[[Ups and downs notation|Ups and downs notation]] can notate every EDO with only 2 new accidentals. The standard seven letters and the standard sharp and flat is used to represent the chain of fifths. For EDOs in which 7 fifths octave-reduce to one EDOstep (12edo, 19edo, etc.) this is sufficient. For other EDOs, the up symbol "^" and the down symbol "v" represent raising and lowering the pitch by one EDOstep.
 Along with Praveen Venkataramana, he has developed the concept of a [[pergen|pergen]], which categorizes rank-2 and rank-3 temperaments. The pergen article also exhaustively covers how to notate them.