User:Ganaram inukshuk/Notes: Difference between revisions

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Rather than using alphabetical names, notes of the form Nk are used. These are used to indicate position on a staff, where N0 is middle C, unless specified otherwise. These names serve as an alternative to using different notations for different scales, but may be interpreted as blanks for one to fill in with different, more specific notation. If k is unbounded, then this notation denotes position on a staff. However, k may be bounded within the range [0, n), where n is the note count, to indicate pitch classes.

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 at a given mode u|d, 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"

|+Example for 5L 2s (LLsLLLs, mode 5|Example with standard notation (5L 2s, mode 5|1)

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 Rather than using alphabetical names, notes of the form Nk are used. These are used to indicate position on a staff, where N0 is middle C, unless specified otherwise. These names serve as an alternative to using different notations for different scales, but may be interpreted as blanks for one to fill in with different, more specific notation. If k is unbounded, then this notation denotes position on a staff. However, k may be bounded within the range [0, n), where n is the note count, to indicate pitch classes.
-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 at a given mode u|d, 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"
 |+Example for 5L 2s (LLsLLLs, mode 5|Example with standard notation (5L 2s, mode 5|1)