| Prime factorization
|
32 × 7
|
| Step size
|
22.2843 ¢
|
| Octave
|
54\63ed9/4 (1203.35 ¢) (→ 6\7ed9/4)
|
| Twelfth
|
85\63ed9/4 (1894.16 ¢)
|
| Consistency limit
|
2
|
| Distinct consistency limit
|
2
|
63 equal divisions of 9/4 (abbreviated 63ed9/4) is a nonoctave tuning system that divides the interval of 9/4 into 63 equal parts of about 22.3 ¢ each. Each step represents a frequency ratio of (9/4)1/63, or the 63rd root of 9/4.
Intervals
| Steps
|
Cents
|
Approximate ratios
|
| 0
|
0
|
1/1
|
| 1
|
22.3
|
|
| 2
|
44.6
|
|
| 3
|
66.9
|
25/24, 26/25
|
| 4
|
89.1
|
20/19
|
| 5
|
111.4
|
31/29
|
| 6
|
133.7
|
|
| 7
|
156
|
34/31
|
| 8
|
178.3
|
31/28
|
| 9
|
200.6
|
|
| 10
|
222.8
|
25/22
|
| 11
|
245.1
|
15/13, 23/20
|
| 12
|
267.4
|
7/6
|
| 13
|
289.7
|
13/11
|
| 14
|
312
|
6/5
|
| 15
|
334.3
|
17/14, 23/19
|
| 16
|
356.5
|
|
| 17
|
378.8
|
|
| 18
|
401.1
|
24/19, 29/23
|
| 19
|
423.4
|
|
| 20
|
445.7
|
22/17, 31/24
|
| 21
|
468
|
17/13
|
| 22
|
490.3
|
|
| 23
|
512.5
|
31/23, 35/26
|
| 24
|
534.8
|
15/11, 34/25
|
| 25
|
557.1
|
|
| 26
|
579.4
|
7/5
|
| 27
|
601.7
|
17/12
|
| 28
|
624
|
|
| 29
|
646.2
|
29/20
|
| 30
|
668.5
|
25/17, 28/19
|
| 31
|
690.8
|
|
| 32
|
713.1
|
|
| 33
|
735.4
|
26/17, 29/19
|
| 34
|
757.7
|
17/11, 31/20
|
| 35
|
780
|
11/7
|
| 36
|
802.2
|
35/22
|
| 37
|
824.5
|
|
| 38
|
846.8
|
31/19
|
| 39
|
869.1
|
|
| 40
|
891.4
|
|
| 41
|
913.7
|
22/13
|
| 42
|
935.9
|
12/7
|
| 43
|
958.2
|
|
| 44
|
980.5
|
30/17
|
| 45
|
1002.8
|
25/14
|
| 46
|
1025.1
|
|
| 47
|
1047.4
|
11/6
|
| 48
|
1069.6
|
13/7
|
| 49
|
1091.9
|
|
| 50
|
1114.2
|
19/10
|
| 51
|
1136.5
|
|
| 52
|
1158.8
|
|
| 53
|
1181.1
|
|
| 54
|
1203.4
|
2/1
|
| 55
|
1225.6
|
|
| 56
|
1247.9
|
35/17
|
| 57
|
1270.2
|
25/12
|
| 58
|
1292.5
|
|
| 59
|
1314.8
|
|
| 60
|
1337.1
|
13/6
|
| 61
|
1359.3
|
|
| 62
|
1381.6
|
|
| 63
|
1403.9
|
|