Kite's ups and downs notation: Difference between revisions

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~~== Definition ==~~

{{Redirect|Ups and downs notation|the notation system with attached arrows|Stein–Zimmermann–Gould notation}}

Ups and ~~Downs~~ (or ^v) is a notation system ~~that can notate almost every~~ [[~~EDO|~~edo]]. 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''' (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 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 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 ~~can also be used to notate rank-3 just intonation subgroups such as 2.3.5 or 2.3.7 or 2.3.11. See~~ [[Kite~~'s thoughts on ups and downs notation for rank-3 JI|Ups and downs notation for Rank-3 JI~~]].

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

'''<u>This page only discusses notation of edos.</u>''' However, the notation of chords and chord progressions applies to all situations. For notation of rank-2 and rank-3 temperaments, see the [[pergen~~|pergens~~]] article.

{{Note|'''<u>This page only discusses notation of edos.</u>''' However, the notation of chords and chord progressions applies to all situations. For notation of rank-2 and rank-3 temperaments, see the [[pergen]]s 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 22edo example) ==

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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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Line 1,512:

== Ups and downs solfege ==

Solfege (do-re-mi) can be adapted to indicate sharp/flat and up/down. See [[Uniform solfege|~~Uniform Solfege~~]].

Solfege (do-re-mi) can be adapted to indicate sharp/flat and up/down. See [[Uniform solfege]].

== For other tuning systems ==

Ups and downs notation was primarily designed to notate edos, but it can also be used to notate other tuning systems.

=== 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|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 ===

Ups and downs can also be used to notate rank-3 just intonation subgroups such as 2.3.5 or 2.3.7 or 2.3.11.

== See also ==

* [[~~Enharmonic~~ unisons in ups and downs notation]]

* [[Kite's thoughts on enharmonic unisons in ups and downs notation]]

* [[Lambda ups and downs notation]]

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

== Further reading ==

* [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

~~{{Todo|intro}}~~

[[Category:Ups and downs notation| ]]

[[Category:Notation]]

@@ Line 1: / Line 1: @@
-== Definition ==
+{{Redirect|Ups and downs notation|the notation system with attached arrows|Stein–Zimmermann–Gould notation}}
-Ups and Downs (or ^v) is a notation system that can notate almost every [[EDO|edo]]. 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''' (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 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 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 can also be used to notate rank-3 just intonation subgroups such as 2.3.5 or 2.3.7 or 2.3.11. See [[Kite's thoughts on ups and downs notation for rank-3 JI|Ups and downs notation for Rank-3 JI]].
+Ups and downs notation was invented by [[Kite Giedraitis]] in early 2014.
-'''<u>This page only discusses notation of edos.</u>''' However, the notation of chords and chord progressions applies to all situations. For notation of rank-2 and rank-3 temperaments, see the [[pergen|pergens]] article.
+{{Note|'''<u>This page only discusses notation of edos.</u>''' However, the notation of chords and chord progressions applies to all situations. For notation of rank-2 and rank-3 temperaments, see the [[pergen]]s 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 22edo example) ==
@@ Line 179: / Line 177: @@
 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
@@ Line 1,514: / Line 1,512: @@
 == Ups and downs solfege ==
-Solfege (do-re-mi) can be adapted to indicate sharp/flat and up/down. See [[Uniform solfege|Uniform Solfege]].
+Solfege (do-re-mi) can be adapted to indicate sharp/flat and up/down. See [[Uniform solfege]].
+== For other tuning systems ==
+Ups and downs notation was primarily designed to notate edos, but it can also be used to notate other tuning systems.
+=== 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|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 ===
+{{Main|Kite's thoughts on ups and downs notation for rank-3 JI}}
+Ups and downs can also be used to notate rank-3 just intonation subgroups such as 2.3.5 or 2.3.7 or 2.3.11.
 == See also ==
-* [[Enharmonic unisons in ups and downs notation]]
+* [[Kite's thoughts on enharmonic unisons in ups and downs notation]]
 * [[Lambda ups and downs notation]]
-Ups and downs notation was invented by [[Kite Giedraitis]] in early 2014.
+== Further reading ==
+* [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
 {{Navbox notation}}
-{{Todo|intro}}
 [[Category:Ups and downs notation| ]] <!-- main article -->
 [[Category:Notation]]