Kite's ups and downs notation: Difference between revisions

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== Definition ==

Ups and Downs (or ^v) is a notation system developed by [[KiteGiedraitis|Kite]] that can notate almost every [[EDO|EDO]]. The up symbol "^" and the down symbol "v" indicate raising or 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. half-augmented, and the mid 5th (~5 )is a half-diminished 5th.

Ups and Downs (or ^v) is a notation system developed by [[KiteGiedraitis|Kite]] that can notate almost every [[EDO|EDO]]. The up symbol "^" and the down symbol "v" indicate raising or 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. half-augmented, and the mid 5th (~5) is a half-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 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.

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C vE G vBb = Cv7 = "C down seven"

All 7th chords follow this same pattern. Likewise, if a 6th is not a P4 or A4 above the 3rd, it's an "add-6" chord. Permitting add-7 chords has the added benefit that the wordy "minor-7 flat-5" can be replaced with the more concise "dim add-7", written Co,7. "Half-dim" can still be used, e.g. C uphalf-dim is C ^Eb Gb ^~~Bbb~~. But half-dim is problematic because the slash-circle abbreviation for half-dim is untypable.

All 7th chords follow this same pattern. Likewise, if a 6th is not a P4 or A4 above the 3rd, it's an "add-6" chord. Permitting add-7 chords has the added benefit that the wordy "minor-7 flat-5" can be replaced with the more concise "dim add-7", written Co,7. "Half-dim" can still be used, e.g. C uphalf-dim is C ^Eb Gb ^Bb. But half-dim is problematic because the slash-circle abbreviation for half-dim is untypable.

In the table below, if a chord is '''bolded''', the comma must be spoken as "add".

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''Question: should a dim 7th be written as d7 or o7?''

''Question: for all tetrads and pentads, should a comma that needn't be spoken as add be omitted from the written name?''

''Question: for all tetrads and pentads, should a comma that needn't be spoken as "add" be omitted from the written name?''

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@@ Line 2: / Line 2: @@
 == Definition ==
-Ups and Downs (or ^v) is a notation system developed by [[KiteGiedraitis|Kite]] that can notate almost every [[EDO|EDO]]. The up symbol "^" and the down symbol "v" indicate raising or 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. half-augmented, and the mid 5th (~5 )is a half-diminished 5th.
+Ups and Downs (or ^v) is a notation system developed by [[KiteGiedraitis|Kite]] that can notate almost every [[EDO|EDO]]. The up symbol "^" and the down symbol "v" indicate raising or 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. half-augmented, and the mid 5th (~5) is a half-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 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.
@@ Line 288: / Line 288: @@
 C vE G vBb = Cv7 = "C down seven"
-All 7th chords follow this same pattern. Likewise, if a 6th is not a P4 or A4 above the 3rd, it's an "add-6" chord. Permitting add-7 chords has the added benefit that the wordy "minor-7 flat-5" can be replaced with the more concise "dim add-7", written Co,7. "Half-dim" can still be used, e.g. C uphalf-dim is C ^Eb Gb ^Bbb. But half-dim is problematic because the slash-circle abbreviation for half-dim is untypable.
+All 7th chords follow this same pattern. Likewise, if a 6th is not a P4 or A4 above the 3rd, it's an "add-6" chord. Permitting add-7 chords has the added benefit that the wordy "minor-7 flat-5" can be replaced with the more concise "dim add-7", written Co,7. "Half-dim" can still be used, e.g. C uphalf-dim is C ^Eb Gb ^Bb. But half-dim is problematic because the slash-circle abbreviation for half-dim is untypable.
 In the table below, if a chord is '''bolded''', the comma must be spoken as "add".
@@ Line 294: / Line 294: @@
 ''Question: should a dim 7th be written as d7 or o7?''
-''Question: for all tetrads and pentads, should a comma that needn't be spoken as add be omitted from the written name?''
+''Question: for all tetrads and pentads, should a comma that needn't be spoken as "add" be omitted from the written name?''
 {| class="wikitable"
 |+