72edo-interval names

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Revision as of 13:16, 28 September 2018 by Gareth.hearne (talk | contribs)
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degrees cents value approximate ratios (11-limit) ups and downs notation Igs' Input
0 0 1/1 P1 perfect unison Unison
1 16.667 81/80 ^1 up unison Super Unison
2 33.333 45/44 ^^ double-up unison Super Unison
3 50 33/32 ^31, v3m2 triple-up unison,

triple-down minor 2nd

Super Unison/

Subminor 2nd

4 66.667 25/24 vvm2 double-downminor 2nd Subminor 2nd
5 83.333 21/20 vm2 downminor 2nd Subminor 2nd/

Minor 2nd

6 100 35/33 m2 minor 2nd Minor 2nd
7 116.667 15/14 ^m2 upminor 2nd Minor 2nd/

Supraminor 2nd

8 133.333 27/25 v~2 downmid 2nd Supraminor 2nd/

Neutral 2nd

9 150 12/11 ~2 mid 2nd Neutral 2nd
10 166.667 11/10 ^~2 upmid 2nd Neutral 2nd/

Submajor 2nd

11 183.333 10/9 vM2 downmajor 2nd Submajor 2nd/

Major 2nd

12 200 9/8 M2 major 2nd Major 2nd
13 216.667 25/22 ^M2 upmajor 2nd Major 2nd/

Supermajor 2nd

14 233.333 8/7 ^^M2 double-upmajor 2nd Supermajor 2nd
15 250 81/70 ^3M2, v3m3 triple-up major 2nd,

triple-down minor 3rd

Supermajor 2nd/

Subminor 3rd

16 266.667 7/6 vvm3 double-downminor 3rd Subminor 3rd
17 283.333 33/28 vm3 downminor 3rd Subminor 3rd/

Minor third

18 300 25/21 m3 minor 3rd Minor 3rd
19 316.667 6/5 ^m3 upminor 3rd Minor 3rd/

Supraminor 3rd

20 333.333 40/33 v~3 downmid 3rd Supraminor 3rd/

Neutral 3rd

21 350 11/9 ~3 mid 3rd Neutral 3rd
22 366.667 99/80 ^~3 upmid 3rd Neutral 3rd/

Submajor 3rd

23 383.333 5/4 vM3 downmajor 3rd Submajor 3rd/

Major 3rd

24 400 44/35 M3 major 3rd Major 3rd
25 416.667 14/11 ^M3 upmajor 3rd Major 3rd/

Supermajor 3rd

26 433.333 9/7 ^^M3 double-upmajor 3rd Supermajor 3rd
27 450 35/27 ^3M3, v34 triple-up major 3rd,

triple-down 4th

Supermajor 3rd/

Sub 4th

28 466.667 21/16 vv4 double-down 4th Sub 4th
29 483.333 33/25 v4 down 4th Sub 4th/

Perfect 4th

30 500 4/3 P4 perfect 4th Perfect 4th
31 516.667 27/20 ^4 up 4th Perfect 4th/

Super 4th

32 533.333 15/11 ^^4 double-up 4th Super 4th/

Narrow Tritone

33 550 11/8 ^34 triple-up 4th Super 4th/

Narrow Tritone

34 566.667 25/18 vvA4 double-down aug 4th Narrow Tritone
35 583.333 7/5 vA4, vd5 downaug 4th, updim 5th Narrow Tritone/

Tritone

36 600 99/70 A4, d5 aug 4th, dim 5th Tritone
37 616.667 10/7 ^A4, ^d5 upaug 4th, downdim 5th Tritone/

Wide Tritone

38 633.333 36/25 ^^d5 double-updim 5th Wide Tritone
39 650 16/11 v35 triple-down 5th Wide Tritone/

Sub 5th

40 666.667 22/15 vv5 double-down 5th Wide Tritone/

Sub 5th

41 683.333 40/27 v5 down 5th Sub 5th/

Perfect 5th

42 700 3/2 P5 perfect 5th Perfect 5th
43 716.667 50/33 ^5 up 5th Perfect 5th/

Super 5th

44 733.333 32/21 ^^5 double-up 5th Super 5th
45 750 54/35 ^35, v3m6 triple-up 5th,

triple-down minor 6th

Super 5th/

Subminor 6th

46 766.667 14/9 vvm6 double-downminor 6th Subminor 6th
47 783.333 11/7 vm6 downminor 6th Subminor 6th/

Minor 6th

48 800 35/22 m6 minor 6th Minor 6th
49 816.667 8/5 ^m6 upminor 6th Minor 6th/

Supraminor 6th

50 833.333 81/50 v~6 downmid 6th Supraminor 6th/

Neutral 6th

51 850 18/11 ~6 mid 6th Neutral 6th
52 866.667 33/20 ^~6 upmid 6th Neutral 6th/

Submajor 6th

53 883.333 5/3 vM6 downmajor 6th Submajor 6th/

Major 6th

54 900 27/16 M6 major 6th Major 6th
55 916.667 56/33 ^M6 upmajor 6th Major 6th/

Supermajor 6th

56 933.333 12/7 ^^M6 double-upmajor 6th Supermajor 6th
57 950 121/70 ^3M6, v3m7 triple-up major 6th,

triple-down minor 7th

Supermajor 6th/

Subminor 7th

58 966.667 7/4 vvm7 double-downminor 7th Subminor 7th
59 983.333 44/25 vm7 downminor 7th Subminor 7th/

Minor 7th

60 1000 16/9 m7 minor 7th Minor 7th
61 1016.667 9/5 ^m7 upminor 7th Minor 7th/

Supraminor 7th

62 1033.333 20/11 v~7 downmid 7th Supraminor 7th/

Neutral 7th

63 1050 11/6 ~7 mid 7th Neutral 7th
64 1066.667 50/27 ^~7 upmin 7th Neutral 7th/

Submajor 7th

65 1083.333 15/8 vM7 downmajor 7th Submajor 7th/

Major 7th

66 1100 66/35 M7 major 7th Major 7th
67 1116.667 21/11 ^M7 upmajor 7th Major 7th/

Supermajor 7th

68 1133.333 27/14 ^^M7 double-upmajor 7th Supermajor 7th
69 1150 35/18 ^3M7, v38 triple-up major 7th,

triple-down octave

Supermajor 7th/

Sub Octave

70 1166.667 49/25 vv8 double-down octave Sub Octave
71 1183.333 99/50 v8 down octave Sub Octave
72 1200 2/1 P8 perfect octave Octave