Kite's ups and downs notation: Difference between revisions

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Ups and downs can also notate any [[Tour of Regular Temperaments|rank-2 temperament]], although some temperaments require an additional pair of accidentals, lifts and drops (/ and \). In this context, an up or a lift represents sharpening by a [[comma]] that has been tempered, but not tempered out. For example, in [[Porcupine|Triyo aka Porcupine]], an up/down represents raising/lowering by a tempered 81/80, and lifts/drops aren't used. In practice, the two uses of the notation often coincide perfectly. Triyo is supported by both 15-edo and 22-edo, and both EDOs map 81/80 to one EDOstep. Thus if Triyo is tuned to 15-edo, an up simultaneously means both a tempered 81/80 and 1\15. Likewise, if tuned to 22-edo, the up means both 81/80 and 1\22. If not tuned to an EDO at all, then the up only means 81/80. Thus a piece written in Triyo can be converted to a piece written in 22-edo by simply writing "22-edo" on the top of the page.

'''<u>This page only discusses notation of EDOs.</u>''' For notation of rank-2 and rank-3 temperaments, see the [[pergen|pergens]] article. For more on EDO notation, see the [http://tallkite.com/misc_files/notation%20guide%20for%20edos%205-72.pdf Notation guide for edos 5-72], which also covers chord names, staff notation, key signatures, and scale trees.

'''<u>This page only discusses notation of EDOs.</u>''' For notation of rank-2 and rank-3 temperaments, see the [[pergen|pergens]] article. For more on EDO notation, see the [http://tallkite.com/misc_files/notation%20guide%20for%20edos%205-72.pdf Notation guide for edos 5-72], which also covers chord names, slash chords, staff notation, key signatures, and scale trees.

==Explanation -- a 22-edo example==

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 Ups and downs can also notate any [[Tour of Regular Temperaments|rank-2 temperament]], although some temperaments require an additional pair of accidentals, lifts and drops (/ and \). In this context, an up or a lift represents sharpening by a [[comma]] that has been tempered, but not tempered out. For example, in [[Porcupine|Triyo aka Porcupine]], an up/down represents raising/lowering by a tempered 81/80, and lifts/drops aren't used. In practice, the two uses of the notation often coincide perfectly. Triyo is supported by both 15-edo and 22-edo, and both EDOs map 81/80 to one EDOstep. Thus if Triyo is tuned to 15-edo, an up simultaneously means both a tempered 81/80 and 1\15. Likewise, if tuned to 22-edo, the up means both 81/80 and 1\22. If not tuned to an EDO at all, then the up only means 81/80. Thus a piece written in Triyo can be converted to a piece written in 22-edo by simply writing "22-edo" on the top of the page.
-'''<u>This page only discusses notation of EDOs.</u>''' For notation of rank-2 and rank-3 temperaments, see the [[pergen|pergens]] article. For more on EDO notation, see the [http://tallkite.com/misc_files/notation%20guide%20for%20edos%205-72.pdf Notation guide for edos 5-72], which also covers chord names, staff notation, key signatures, and scale trees.
+'''<u>This page only discusses notation of EDOs.</u>''' For notation of rank-2 and rank-3 temperaments, see the [[pergen|pergens]] article. For more on EDO notation, see the [http://tallkite.com/misc_files/notation%20guide%20for%20edos%205-72.pdf Notation guide for edos 5-72], which also covers chord names, slash chords, staff notation, key signatures, and scale trees.
 ==Explanation -- a 22-edo example==