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The 99 equal temperament, often abbreviated 99-tET, 99-EDO, or 99-ET, is the scale derived by dividing the octave into 99 equally-sized steps, where each step represents a frequency ratio of 12.1212 cents. It is a very strong 7-limit (and 9 odd limit) temperament, but extending it to the 11-limit requires choosing which mapping one wants to use, as both are nearly equally far of the mark. It tempers out 3136/3125, 5120/5103, 6144/6125, 2401/2400 and 4375/4374, and supports hemififths, amity, parakleismic, hemiwürschmidt and ennealimmal temperaments, and is pretty well a perfect tuning for hendecatonic temperament. It has a sound defined by the slight sharpness (1.075, 1.565, 0.871 cents) of its 3, 5, and 7.

Using the patent val, <99 157 230 278 342|, 99 is the optimal patent val for the rank four temperament tempering out 121/120; zeus, the rank three temperament tempering out 121/120 and 176/175; hemiwur, one of the rank two 11-limit extensions of hemiwürschmidt; and hitchcock (11-limit amity), the rank two temperament which also tempers out 2200/2187. Using the <99 157 230 278 343| ("99e") val, 99 tempers out 896/891, 243/242, 441/440 and 540/539, and is an excellent tuning for the 11-limit version of hemififths temperament. Hence 99, in spite of the fact that it tunes 11 relatively badly, is an important 11-limit tuning in more than one way.

Scales

tutone6
tutone7
tutone13
zeus7tri
zeus8tri

Music in 99edo

Nonaginta et Novem play by Gene Ward Smith
Benny Smith-Palestrina in zeus7tri

Intervals

Degrees
Cents Value
1
12.121
2
24.242
3
36.364
4
48.485
5
60.606
6
72.727
7
84.848
8
96.97
9
109.091
10
121.212
11
133.333
12
145.455
13
157.576
14
169.697
15
181.818
16
193.939
17
206.061
18
218.182
19
230.303
20
242.424
21
254.545
22
266.667
23
278.788
24
290.909
25
303.03
26
315.152
27
327.273
28
339.394
29
351.515
30
363.636
31
375.758
32
387.879
33
400
34
412.121
35
424.242
36
436.364
37
448.485
38
460.606
39
472.727
40
484.848
41
496.97
42
509.091
43
521.212
44
533.333
45
545.455
46
557.576
47
569.697
48
581.818
49
593.939
50
606.061
51
618.182
52
630.303
53
642.424
54
654.545
55
666.667
56
678.788
57
690.909
58
703.03
59
715.152
60
727.273
61
739.394
62
751.515
63
763.636
64
775.758
65
787.879
66
800
67
812.121
68
824.242
69
836.364
70
848.485
71
860.606
72
872.727
73
884.848
74
896.97
75
909.091
76
921.212
77
933.333
78
945.455
79
957.576
80
969.697
81
981.818
82
993.939
83
1006.061
84
1018.182
85
1030.303
86
1042.424
87
1054.545
88
1066.667
89
1078.788
90
1090.909
91
1103.03
92
1115.152
93
1127.273
94
1139.394
95
1151.515
96
1163.636
97
1175.758
98
1187.879
99
1200