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114edo is the equal division of the octave into 114 parts, each of 10.52632 cents. In the 5-limit it tempers out 2048/2025, in the 7-limit 245/243, in the 11-limit 121/120 and 176/175, in the 13-limit 196/195 and 325/324, in the 17-limit 136/135 and 154/153, in the 19-limit 286/285 and 343/342. These commas make for 114edo being an excellent tuning for shrutar temperament; it is in fact the optimal patent val for shrutar in the 11- 13- 17- and 19-limit, as well as the rank three bisector temperament.

Period of 19-limit Shrutar

Degree
Cents
2
21.05263
3
31.57895
5
52.63158
7
73.68421
8
84.21053
10
105.26316
12
126.31579
13
136.842105
15
157.89474
17
178.94737
18
189.47369
20
210.52632
22
231.57895
23
242.10526
25
263.157895
27
284.21053
29
305.26316
30
315.78947
32
336.842105
34
357.89474
35
368.42105
37
389.47368
39
410.52632
40
421.05263
42
442.10526
44
463.157895
45
473.68421
47
494.73684
49
515.78947
50
526.31579
52
547.36842
54
568.42105
55
578.94737