List of tritave reduced harmonics

Revision as of 12:12, 30 November 2011 by Wikispaces>Kosmorsky (**Imported revision 280651068 - 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

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Other useful tritave based intervals: (to be filled in as people see fit)

Original HTML content:

<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>