Harry Partch 43 tone Just Intonation scale

 Note degree

Interval

Value in cents

 Interval Name

1

1/1

0
unison

2

81/80

21.50629
syntonic comma

3

33/32

53.27296
undecimal comma

4

21/20

84.46723
minor semitone

5

16/15

111.7313
minor diatonic semitone

6

12/11

150.6371
3/4-tone, undecimal neutral second

7

11/10

165.0043
4/5-tone

8

10/9

182.4038
minor whole tone

9

9/8

203.9100
major whole tone

10

8/7

231.1741
septimal whole tone

11

7/6

266.8710
septimal minor third

12

32/27

294.1351
Pythagorean minor third

13

6/5

315.6414
minor third

14

11/9

347.4080
undecimal neutral third

15

5/4

386.3139
major third

16

14/11

417.5081
-

17

9/7

435.0843
septimal major third

18

21/16

470.7811
narrow fourth

19

4/3

498.0452
perfect fourth

20

27/20

519.5515
acute fourth

21

11/8

551.3181
harmonic augmented fourth

22

7/5

582.5125
septimal tritone

23

10/7

617.4880
Euler's tritone

24

16/11

648.6823
harmonic diminished fifth

25

40/27

680.4490
narrow fifth

26

3/2

701.9553
perfect fifth

27

32/21

729.2194
wide fifth

28

14/9

764.9162
septimal minor sixth

29

11/7

782.4924
-

30

8/5

813.6866
minor sixth

31

18/11

852.5924
undecimal neutral sixth

32

5/3

884.3591
major sixth

33

27/16

905.8654
Pythagorean major sixth

34

12/7

933.1295
septimal major sixth

35

7/4

968.8264
harmonic seventh

36

16/9

996.0905
Pythagorean minor seventh

37

9/5

1017.596
just minor seventh

38

20/11

1034.996
-

39

11/6

1049.363
21/4-tone, undecimal neutral seventh

40

15/8

1088.269
classic major seventh

41

40/21

1115.533
-

42

64/33

1146.727
-

43

160/81

1178.494
octave - syntonic comma

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