User:Ganaram inukshuk/Notes: Difference between revisions

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Nk note name notation: Added statements for octave equivalence and enharmonic equivalence
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For a given mos xL ys, pitch classes defined by some number of mossteps from the root are assigned note names starting at N0, which is 0 mossteps from the root. If two pitches, reached by going up or down some quantity of mossteps, have the same remainder when divided by xL+ys (which is the same as octave-reducing), then they are in the same pitch class. In this regard, a pitch Nk corresponds to and is the shorthand for the scale degree reached by going up an octave-reduced interval denoted as a quantity of mossteps iL+js that is smaller than xL+ys.
For a given mos xL ys, pitch classes defined by some number of mossteps from the root are assigned note names starting at N0, which is 0 mossteps from the root. If two pitches, reached by going up or down some quantity of mossteps, have the same remainder when divided by xL+ys (which is the same as octave-reducing), then they are in the same pitch class. In this regard, a pitch Nk corresponds to and is the shorthand for the scale degree reached by going up an octave-reduced interval denoted as a quantity of mossteps iL+js that is smaller than xL+ys.
{| class="wikitable"
{| class="wikitable"
|+Example for 5L 2s (LLsLLLs, mode 5|1)
|+Example for 5L 2s (LLsLLLs, mode 5|Example with standard notation (5L 2s, mode 5|1)
!Mossteps from root
!Mossteps from root
!Substring
!Substring