Kite's ups and downs notation: Difference between revisions

TallKite (talk | contribs)
Enharmonic equivalents: added trup and trud
TallKite (talk | contribs)
Enharmonic equivalents: added quup/quud and quip/quid
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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-ups and triple-downs can occur. These are called '''trup''' and '''trud'''.  
In larger edos, triple-ups and triple-downs can occur. These are called '''trup''' and '''trud'''. Quadruple = '''quup''' and '''quud''' ("kwup" and "kwud") and quintuple = quip and quid.  


=== Staff Notation ===
=== Staff Notation ===