List of tritave reduced harmonics
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- This revision was by author Kosmorsky and made on 2011-11-30 12:12:01 UTC.
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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 /> <br /> 1/1..............0.000 unison, perfect prime <br /> 10/9.............182.404 minor whole tone <br /> 11/9.............347.408 undecimal neutral third <br /> 4/3..............498.045 perfect fourth <br /> 13/9.............636.618 tridecimal diminished fifth <br /> 14/9.............764.916 septimal minor sixth <br /> 5/3..............884.359 major sixth, BP sixth <br /> 16/9.............996.090 Pythagorean minor seventh <br /> 17/9.............1101.045 septendecimal major seventh <br /> 2/1..............1200.000 octave<br /> 19/9.............1293.603 undevicesimal semitone +1 octave <br /> 20/9.............1382.404 small ninth<br /> 7/3..............1466.871 minimal tenth, BP tenth<br /> 22/9.............1547.408 undecimal neutral third +1 octave <br /> 23/9.............1624.364 vicesimotertial major third +1 octave <br /> 8/3..............1698.045 perfect 11th <br /> 25/9.............1768.717 classic augmented eleventh, BP twelfth <br /> 26/9.............1836.618 tridecimal diminished fifth +1 octave <br /> 3/1..............1901.955 tritave<br /> <br /> -- <br /> <br /> Other useful tritave based intervals: (to be filled in as people see fit)</body></html>