Kite's ups and downs notation: Difference between revisions
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The same logic holds for a note minus an interval (C - vm3 = ^A) or one interval minus another interval (M3 - vM2 = ^M2). | The same logic holds for a note minus an interval (C - vm3 = ^A) or one interval minus another interval (M3 - vM2 = ^M2). | ||
=== "Arrow" as a term for EDOstep === | |||
Up and down are short for up-arrow and down-arrow, and arrow refers to both. Sometimes the name of a notation symbol comes to mean that which the symbol indicates. Just as "bar" (the vertical line that separates measures) has come to mean "measure", "[[arrow]]" has also come to mean "EDOstep". | |||
=== Enharmonic equivalents === | === Enharmonic equivalents === | ||
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Since 22edo is rank-1, and conventional notation plus ups and downs is rank-3, two enharmonic intervals are needed to define the notation: v<sup>3</sup>A1 and vm2. Either interval can be added to or subtracted from any note to respell the note. For example, ^C + vm2 = Db and ^^Eb + v<sup>3</sup>A1 = vE. Any combination of these two enharmonic intervals is also an enharmonic interval, for example their sum v<sup>4</sup>M2. Thus ^^F = vvG (double-down G, or '''dud''' G for short, rhymes with "cud"). | Since 22edo is rank-1, and conventional notation plus ups and downs is rank-3, two enharmonic intervals are needed to define the notation: v<sup>3</sup>A1 and vm2. Either interval can be added to or subtracted from any note to respell the note. For example, ^C + vm2 = Db and ^^Eb + v<sup>3</sup>A1 = vE. Any combination of these two enharmonic intervals is also an enharmonic interval, for example their sum v<sup>4</sup>M2. Thus ^^F = vvG (double-down G, or '''dud''' G for short, rhymes with "cud"). | ||
In larger edos, triple- | In larger edos, triple-arrows, quadruple-arrows, etc. can occur, and are names thusly: | ||
{| class="wikitable" | |||
|+words for multiple arrows | |||
!1 arrow | |||
!2 arrows | |||
!3 arrows | |||
!4 arrows | |||
!5 arrows | |||
|- | |||
|up | |||
|dup (rhymes | |||
with "up") | |||
|trup (rhymes | |||
with "up") | |||
|quup | |||
("kwup") | |||
|quip | |||
|- | |||
|down | |||
|dud | |||
|trud (rhymes | |||
with "dud") | |||
|quud | |||
("kwud") | |||
|quid | |||
|} | |||
=== Staff Notation === | === Staff Notation === | ||
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=== Placement of the arrow === | === Placement of the arrow === | ||
It might seem more natural to place the arrow after the note, for example B^ or Bb^. But the arrow must come first, to make chord names unambiguous. B^m could mean either a minor chord rooted on B^ or an upminor chord rooted on B. (Chord names are explained fully below.) | It might seem more natural to place the arrow after the note, for example B^ or Bb^. But the arrow must come first, to make chord names unambiguous. Otherwise B^m could mean either a minor chord rooted on B^ or an upminor chord rooted on B. (Chord names are explained fully below.) | ||
The issue arises because while English normally places the adjective before the noun, it doesn't do so with sharps and flats. A flattened B should logically be called "flat B" not "B flat", and be written bB not Bb. If it were, then it would seem very natural to have the up come first, as in ^bB. This would be the typical English adjective-adjective-noun construction. Instead we must use ^Bb, an unnatural adjective-noun-adjective construction. This issue fortunately arises only for note names. On the staff, the flat comes before the note, so naturally the up comes before the flat. In relative notation, the quality comes before the interval, as in minor 3rd and augmented 4th, or in jazz terms flat 3rd and sharp 4th. So terms like upminor 3rd and downsharp 4th have a natural adjective-adjective-noun construction. | The issue arises because while English normally places the adjective before the noun, it doesn't do so with sharps and flats. A flattened B should logically be called "flat B" not "B flat", and be written bB not Bb. If it were, then it would seem very natural to have the up come first, as in ^bB. This would be the typical English adjective-adjective-noun construction. Instead we must use ^Bb, an unnatural adjective-noun-adjective construction. This issue fortunately arises only for note names. On the staff, the flat comes before the note, so naturally the up comes before the flat. In relative notation, the quality comes before the interval, as in minor 3rd and augmented 4th, or in jazz terms flat 3rd and sharp 4th. So terms like upminor 3rd and downsharp 4th have a natural adjective-adjective-noun construction. | ||