99edo

99edo is an equal tuning with steps of size 12.12... cents. It is known for being very accurate in the 7-limit.

Theory

Approximation of prime harmonics in 99edo
Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	0.0	+1.1	+1.6	+0.9	-5.9	-4.2	+4.1	+5.5	+2.0	+0.7	-5.6
Error	Relative (%)	0.0	+8.9	+12.9	+7.2	-48.4	-34.4	+34.1	+45.5	+16.7	+6.0	-46.5
Steps (reduced)		99 (0)	157 (58)	230 (32)	278 (80)	342 (45)	366 (69)	405 (9)	421 (25)	448 (52)	481 (85)	490 (94)

1\99 represents the following 7-limit ratios:

99edo notably supports

Todo: Derive 99edo from

View • Talk • EditEqual temperaments
EDOs
Macrotonal	5 • 6 • 7 • 8 • 9 • 10 • 11
12-23	12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23
24-35	24 • 25 • 26 • 27 • 29 • 31 • 32 • 34 • 35
36-47	36 • 37 • 39 • 40 • 41 • 43 • 44 • 45 • 46 • 47
48-59	48 • 50 • 51 • 53 • 54 • 56 • 57 • 58
60-71	60 • 63 • 64 • 65 • 67 • 68 • 70
72-83	72 • 74 • 77 • 80 • 81 • 82
84-95	84 • 87 • 89 • 90 • 93 • 94
Large EDOs	99 • 104 • 106 • 111 • 118 • 130 • 140 • 152 • 159 • 171 • 217 • 224 • 239 • 270 • 306 • 311 • 612 • 665
Nonoctave equal temperaments
Tritave	4 • 9 • 13 • 17 • 26 • 39
Fifth	8 • 9 • 11 • 20
Other	88cet Family