List of tritave reduced harmonics

Revision as of 12:10, 30 November 2011 by Wikispaces>Kosmorsky (**Imported revision 280650166 - Original comment: **)

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The first few tritave reduced harmonics, for the sake of convenient access. Feel free to add higher limit ones like 29/27. I don't personally see that they're needed at this stage in musical development but someday they will be.
1/1..............0.000 unison, perfect prime  10/9.............182.404 minor whole tone  11/9.............347.408 undecimal neutral third  4/3..............498.045 perfect fourth  13/9.............636.618 tridecimal diminished fifth  14/9.............764.916 septimal minor sixth  5/3..............884.359 major sixth, BP sixth  16/9.............996.090 Pythagorean minor seventh  17/9.............1101.045 septendecimal major seventh  2/1..............1200.000 octave  19/9.............1293.603 undevicesimal semitone +1 octave  20/9.............1382.404 small ninth  7/3..............1466.871 minimal tenth, BP tenth  22/9.............1547.408 undecimal neutral third +1 octave  23/9.............1624.364 vicesimotertial major third +1 octave  8/3..............1698.045 perfect 11th  25/9.............1768.717 classic augmented eleventh, BP twelfth  26/9.............1836.618 tridecimal diminished fifth +1 octave  3/1..............1901.955 tritave 
--  Other useful tritave based intervals:  (to be filled in as people see fit)

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<html><head><title>Tritave Reduced Harmonics</title></head><body>The first few tritave reduced harmonics, for the sake of convenient access. Feel free to add higher limit ones like 29/27. I don't personally see that they're needed at this stage in musical development but someday they will be.<br />
1/1..............0.000 unison, perfect prime  10/9.............182.404 minor whole tone  11/9.............347.408 undecimal neutral third  4/3..............498.045 perfect fourth  13/9.............636.618 tridecimal diminished fifth  14/9.............764.916 septimal minor sixth  5/3..............884.359 major sixth, BP sixth  16/9.............996.090 Pythagorean minor seventh  17/9.............1101.045 septendecimal major seventh  2/1..............1200.000 octave  19/9.............1293.603 undevicesimal semitone +1 octave  20/9.............1382.404 small ninth  7/3..............1466.871 minimal tenth, BP tenth  22/9.............1547.408 undecimal neutral third +1 octave  23/9.............1624.364 vicesimotertial major third +1 octave  8/3..............1698.045 perfect 11th  25/9.............1768.717 classic augmented eleventh, BP twelfth  26/9.............1836.618 tridecimal diminished fifth +1 octave  3/1..............1901.955 tritave <br />
--  Other useful tritave based intervals:  (to be filled in as people see fit)</body></html>