| Prime factorization
|
n/a
|
| Step size
|
2400¢
|
| Octave
|
1\1ed4 (2400¢)
|
| Twelfth
|
1\1ed4 (2400¢)
(convergent)
|
| Consistency limit
|
1
|
| Distinct consistency limit
|
1
|
| Special properties
|
|
1 equal division of the 4th harmonic (abbreviated 1ed4) is a nonoctave tuning system that uses equal steps of 4/1, or exactly 2400 ¢.
Intervals
- 2400 cents
- 4800 cents
- 7200 cents
- etc…
Harmonics
Approximation of harmonics in 1ed4
| Harmonic
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
| Error
|
Absolute (¢)
|
+1200
|
+498
|
+0
|
-386
|
-702
|
-969
|
+1200
|
+996
|
+814
|
+649
|
+498
|
| Relative (%)
|
+50.0
|
+20.8
|
+0.0
|
-16.1
|
-29.2
|
-40.4
|
+50.0
|
+41.5
|
+33.9
|
+27.0
|
+20.8
|
| Step
|
1
|
1
|
1
|
1
|
1
|
1
|
2
|
2
|
2
|
2
|
2
|
Approximation of harmonics in 1ed4
| Harmonic
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
20
|
21
|
22
|
23
|
| Error
|
Absolute (¢)
|
+359
|
+231
|
+112
|
+0
|
-105
|
-204
|
-298
|
-386
|
-471
|
-551
|
-628
|
| Relative (%)
|
+15.0
|
+9.6
|
+4.7
|
+0.0
|
-4.4
|
-8.5
|
-12.4
|
-16.1
|
-19.6
|
-23.0
|
-26.2
|
| Step
|
2
|
2
|
2
|
2
|
2
|
2
|
2
|
2
|
2
|
2
|
2
|
