73edo

Revision as of 21:56, 9 March 2023 by CompactStar (talk | contribs) (Adding interval list auto-generated by a program I wrote)

73 EDO divides the octave into 73 equal parts of 16.438 cents each. It tempers out 78732/78125 and 262144/253125 in the 5-limit, 126/125 and 245/243 in the 7-limit, 176/175, 441/440 and 4000/3993 in the 11-limit, and 91/90, 169/168, 196/195, 325/324, 351/350 and 352/351 in the 13-limit. It provides the optimal patent val for marrakesh temperament. 73 EDO has a sharp tendency, with the approximations of 3, 5, 7, 11 all sharp, see following table.

← 72edo 73edo 74edo →
Prime factorization 73 (prime)
Step size 16.4384 ¢ 
Fifth 43\73 (706.849 ¢)
Semitones (A1:m2) 9:4 (147.9 ¢ : 65.75 ¢)
Consistency limit 7
Distinct consistency limit 7

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73 EDO fits in mavila scale, by the 9;5 relation in the superdiatonic scheme.

73 EDO is the 21st prime EDO.

Intervals

# Cents Diatonic interval category
0 0.0 perfect unison
1 16.4 superunison
2 32.9 superunison
3 49.3 subminor second
4 65.8 subminor second
5 82.2 minor second
6 98.6 minor second
7 115.1 minor second
8 131.5 supraminor second
9 147.9 neutral second
10 164.4 submajor second
11 180.8 major second
12 197.3 major second
13 213.7 major second
14 230.1 supermajor second
15 246.6 ultramajor second
16 263.0 subminor third
17 279.5 subminor third
18 295.9 minor third
19 312.3 minor third
20 328.8 supraminor third
21 345.2 neutral third
22 361.6 submajor third
23 378.1 submajor third
24 394.5 major third
25 411.0 major third
26 427.4 supermajor third
27 443.8 ultramajor third
28 460.3 subfourth
29 476.7 subfourth
30 493.2 perfect fourth
31 509.6 perfect fourth
32 526.0 superfourth
33 542.5 superfourth
34 558.9 superfourth
35 575.3 low tritone
36 591.8 low tritone
37 608.2 high tritone
38 624.7 high tritone
39 641.1 subfifth
40 657.5 subfifth
41 674.0 subfifth
42 690.4 perfect fifth
43 706.8 perfect fifth
44 723.3 superfifth
45 739.7 superfifth
46 756.2 ultrafifth
47 772.6 subminor sixth
48 789.0 minor sixth
49 805.5 minor sixth
50 821.9 supraminor sixth
51 838.4 supraminor sixth
52 854.8 neutral sixth
53 871.2 submajor sixth
54 887.7 major sixth
55 904.1 major sixth
56 920.5 supermajor sixth
57 937.0 supermajor sixth
58 953.4 ultramajor sixth
59 969.9 subminor seventh
60 986.3 minor seventh
61 1002.7 minor seventh
62 1019.2 minor seventh
63 1035.6 supraminor seventh
64 1052.1 neutral seventh
65 1068.5 submajor seventh
66 1084.9 major seventh
67 1101.4 major seventh
68 1117.8 major seventh
69 1134.2 supermajor seventh
70 1150.7 ultramajor seventh
71 1167.1 suboctave
72 1183.6 suboctave
73 1200.0 perfect octave