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The 60 equal division divides the octave into 60 parts of exactly 20 cents each. Since 60 = 5 * 12, it belongs to the family of edos which contain 12edo, and like the other small edos of this kind, it tempers out the Pythagorean comma, 531441/524288 = |-19 12>. In the 5-limit, it tempers out both the magic comma, 3125/3072, and the amity comma, 1600000/1594323, and supplies the optimal patent val for 5-limit magic, tempering out 3125/3072. In the 7-limit it tempers out 875/864, 245/243, 225/224 and 10976/10935, and supports magic, compton and tritonic temperaments. In the 11-limit, the 60e val scores lower in badness than the patent val, and makes for an excellent tritonic tuning. It tempers out 121/120 and 441/440, whereas the patent val tempers out 100/99, 385/384 and 540/539. The tuning of 13 is superb at half a cent flat, and the 60e val also works excellently for 13-limit tritonic. As a no-fives val, it is also excellent for the 2.3.7.11.13 bleu temperament.

Intervals

degrees of 60edo
cents value
approximate ratios in the 2.3.5.13 subgroup
additional ratios of 7 and 11 (assuming flat values for primes)
0
0


1
20


2
40


3
60


4
80


5
100


6
120
16/15

7
140


8
160

12/11, 11/10
9
180
10/9

10
200
9/8

11
220


12
240
15/13
8/7
13
260

7/6
14
280


15
300


16
320


17
340

11/9
18
360
16/13

19
380


20
400


21
420

14/11
22
440

9/7
23
460
13/10

24
480


25
500
4/3

26
520


27
540

11/8, 15/11
28
560
18/13

29
580

7/5
30
600


31
620

10/7
32
640
13/8

33
660

16/11, 22/15
34
680


35
700
3/2

36
720


37
740
20/13

38
760

14/9
39
780

11/7
40
800


41
820


42
840
13/8

43
860

18/11
44
880


45
900


46
920


47
940

12/7
48
960
26/15
7/4
49
980


50
1000
16/9

51
1020
9/5

52
1040

11/6, 20/11
53
1060


54
1080
15/8

55
1100


56
1120


57
1140


58
1160


59
1180


60
1200




Compositions

Rojqoq (So-Called Peace) play by William Sethares
Skating On Thin Ice play
My Mother Said So play
Black Salt - White Pepper play
NGC 300play
all by Robin Perry
Dingshi and
Gene's Jitterbug (ogg) Gene's Jitterbug (mp3) Score
by Graham Breed

Images

60edo wheel with cents values.png
blue_60edo.png

60edoguitar.jpg
Robin Perry guitar