| Prime factorization
|
n/a
|
| Step size
|
70.6724¢
|
| Octave
|
17\1ed25/24 (1201.43¢)
|
| Twelfth
|
27\1ed25/24 (1908.16¢)
|
| Consistency limit
|
4
|
| Distinct consistency limit
|
1
|
| Special properties
|
|
1 equal division of 25/24 (1ed25/24), also known as ambitonal sequence of 25/24 (AS25/24) or 25/24 equal-step tuning, is the scale of integer multiples of the 25/24 third tone, and corresponds to 17edo with the octave stretched by 1.4314 cents.
Harmonics
1ed25/24 offers a good approximation of the no-5s 13-limit, and of the no-5s no-17s 23-limit.
Approximation of prime harmonics in 1ed25/24
| Harmonic
|
2
|
3
|
5
|
7
|
11
|
13
|
17
|
19
|
23
|
29
|
31
|
| Error
|
Absolute (¢)
|
+1.4
|
+6.2
|
-30.1
|
+23.5
|
+18.4
|
+11.8
|
-28.6
|
-9.1
|
+13.5
|
-34.4
|
-8.6
|
| Relative (%)
|
+2.0
|
+8.8
|
-42.6
|
+33.2
|
+26.0
|
+16.7
|
-40.4
|
-12.9
|
+19.1
|
-48.7
|
-12.1
|
| Step
|
17
|
27
|
39
|
48
|
59
|
63
|
69
|
72
|
77
|
82
|
84
|
(contd.)
| Harmonic
|
37
|
41
|
43
|
47
|
53
|
59
|
61
|
67
|
71
|
73
|
79
|
| Error
|
Absolute (¢)
|
-32.2
|
+2.1
|
-9.7
|
-22.3
|
-18.3
|
+8.1
|
+21.0
|
-0.0
|
-29.8
|
-7.2
|
-2.6
|
| Relative (%)
|
-45.5
|
+3.0
|
-13.7
|
-31.6
|
-25.9
|
+11.4
|
+29.8
|
-0.1
|
-42.1
|
-10.2
|
-3.7
|
| Step
|
88
|
91
|
92
|
94
|
97
|
100
|
101
|
103
|
104
|
105
|
107
|