24 Tone Equal Temperament, also known as the Quartertone scale

 Note degree

Value in cents

Nearest just interval

Difference in cents from just interval

Interval Name

1

0

1/1

0
 unison

2
 50.000 33/32 -3.2729 undecimal comma, 33rd harmonic

3
 100.000 16/15 -11.7313 minor diatonic semitone

4
 150.000 12/11 -0.6371 3/4-tone, undecimal neutral second

5
 200.000 9/8

-3.9100
 major whole tone

6
 250.000 15/13 2.2589 -

7
 300.000 13/11 10.7903 tridecimal minor third

8
 350.000 11/9 2.5921 undecimal neutral third

9
 400.000 44/35 3.8217 -

10
 450.000 13/10 -4.2139 -

11
 500.000 4/3 1.9550 perfect fourth

12
 550.000 11/8 -1.3179 undecimal semi-augmented fourth

13
 600.000 45/32 9.7763 tritone

14
 650.000 16/11 1.3179 undecimal semi-diminished fifth

15
 700.000 3/2 -1.9550 perfect fifth

16
 750.000 20/13 4.2139 -

17
 800.000 35/22 -3.8217 -

18
 850.000 18/11 -2.5921 undecimal neutral sixth

19
 900.000 22/13 -10.7903 -

20
 950.000 26/15 -2.2589 -

21
 1000.000 16/9 3.9100 Pythagorean minor seventh

22
 1050.000 11/6 0.6371 21/4-tone, undecimal neutral seventh
23 1100.000 15/8 11.7313 classic major seventh
24 1150.000 35/18 -1.2296 septimal semi-diminished octave

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