Kite's ups and downs notation: Difference between revisions

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'''Ups and downs notation''' (or ^v) is a [[musical notation]] system primarily designed for [[edo]]s. The up symbol "^" and the down symbol "v" indicate raising/lowering a note (or widening/narrowing an interval) by one EDOstep. The mid symbol, "~" is for intervals exactly midway between major and minor, e.g. 3\24 is a mid 2nd. The mid 4th (~4) is midway between perfect and augmented, i.e. halfway-augmented, and the mid 5th (~5) is a halfway-diminished 5th.

Ups and downs notation can be used with other tuning systems outside edos, by adjusting the definition of the arrows and~~/or by~~ adding lifts (/) and drops (\) to accommodate finer tuning inflections. Lifts and drops can also be used with larger edos, especially [[Kite's thoughts on ring number|multi-ring]] edos where lifts and drops can be used to navigate between the rings of the edo.

Ups and downs notation can be used with other tuning systems outside edos, by adjusting the definition of the arrows and perhaps also adding lifts (/) and drops (\) to accommodate finer tuning inflections. Lifts and drops can also be used with larger edos, especially [[Kite's thoughts on ring number|multi-ring]] edos where lifts and drops can be used to navigate between the rings of the edo.

Ups and downs notation was invented by [[Kite Giedraitis]] in early 2014.

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Lifts and drops (/ and \) can be used for microinflections of less than an edostep, since they look like part of an arrow.

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=== Rank-2 temperaments ===

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 15edo and 22edo, and both edos map 81/80 to one EDOstep. Thus if ~~Triyo~~ is tuned to 15edo, an up simultaneously means both a tempered 81/80 and 1\15. Likewise, if tuned to 22edo, 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 22edo by simply writing "22edo" on the top of the page.

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|Triyoti 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. Triyoti is supported by both 15edo and 22edo, and both edos map 81/80 to one EDOstep. Thus if Triyoti is tuned to 15edo, an up simultaneously means both a tempered 81/80 and 1\15. Likewise, if tuned to 22edo, 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 Triyoti can be converted to a piece written in 22edo by simply writing "22edo" on the top of the page.

=== Rank-3 JI ===

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 '''Ups and downs notation''' (or ^v) is a [[musical notation]] system primarily designed for [[edo]]s. The up symbol "^" and the down symbol "v" indicate raising/lowering a note (or widening/narrowing an interval) by one EDOstep. The mid symbol, "~" is for intervals exactly midway between major and minor, e.g. 3\24 is a mid 2nd. The mid 4th (~4) is midway between perfect and augmented, i.e. halfway-augmented, and the mid 5th (~5) is a halfway-diminished 5th.
-Ups and downs notation can be used with other tuning systems outside edos, by adjusting the definition of the arrows and/or by adding lifts (/) and drops (\) to accommodate finer tuning inflections. Lifts and drops can also be used with larger edos, especially [[Kite's thoughts on ring number|multi-ring]] edos where lifts and drops can be used to navigate between the rings of the edo.
+Ups and downs notation can be used with other tuning systems outside edos, by adjusting the definition of the arrows and perhaps also adding lifts (/) and drops (\) to accommodate finer tuning inflections. Lifts and drops can also be used with larger edos, especially [[Kite's thoughts on ring number|multi-ring]] edos where lifts and drops can be used to navigate between the rings of the edo.
 Ups and downs notation was invented by [[Kite Giedraitis]] in early 2014.
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 Lifts and drops (/ and \) can be used for microinflections of less than an edostep, since they look like part of an arrow.
 {| class="wikitable"
-|+
+|+categories of pitch alterations
 |^
 |up
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 === Rank-2 temperaments ===
-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 15edo and 22edo, and both edos map 81/80 to one EDOstep. Thus if Triyo is tuned to 15edo, an up simultaneously means both a tempered 81/80 and 1\15. Likewise, if tuned to 22edo, 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 22edo by simply writing "22edo" on the top of the page.
+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|Triyoti 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. Triyoti is supported by both 15edo and 22edo, and both edos map 81/80 to one EDOstep. Thus if Triyoti is tuned to 15edo, an up simultaneously means both a tempered 81/80 and 1\15. Likewise, if tuned to 22edo, 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 Triyoti can be converted to a piece written in 22edo by simply writing "22edo" on the top of the page.
 === Rank-3 JI ===