7ed5/2
Jump to navigation
Jump to search
Prime factorization
7 (prime)
Step size
226.616¢
Octave
5\7ed5/2 (1133.08¢)
Twelfth
8\7ed5/2 (1812.93¢)
Consistency limit
3
Distinct consistency limit
3
| ← 6ed5/2 | 7ed5/2 | 8ed5/2 → |
7ED5/2 is the equal division of the 5/2 interval into 7 parts of 226.6162 cents each, corresponding to 5.2953 EDO. It is related to the semaja temperament. Its patent val tempers out the same 5-limit commas as 5EDO, but mapping of 7 and higher prime harmonics differs to 5EDO.
Intervals
| Step | Interval (¢) | JI approximated | Simplified ratio |
|---|---|---|---|
| 1 | 226.62 | 34/30 | 17/15 |
| 2 | 453.23 | 39/30 | 13/10 |
| 3 | 679.85 | 34/23 | |
| 4 | 906.47 | 66/39 | 22/14 |
| 5 | 1133.08 | 23/12 | |
| 6 | 1359.70 | 66/30 | 11/5 |
| 7 | 1586.31 | 5/2 |
The subgroup interpretation used is 5/2.12.23.34.39.51.58.66. Other interpretations are possible. Don't forget that fractions can multiply, e.g. 12*5/2=30.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -66.9 | -89.0 | +92.8 | -66.9 | +70.7 | +30.4 | +25.9 | +48.6 | +92.8 | -72.2 | +3.8 |
| Relative (%) | -29.5 | -39.3 | +40.9 | -29.5 | +31.2 | +13.4 | +11.4 | +21.4 | +40.9 | -31.9 | +1.7 | |
| Steps (reduced) |
5 (5) |
8 (1) |
11 (4) |
12 (5) |
14 (0) |
15 (1) |
16 (2) |
17 (3) |
18 (4) |
18 (4) |
19 (5) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +91.8 | -36.5 | +70.7 | -41.1 | +80.6 | -18.4 | -112.0 | +25.9 | -58.6 | +87.5 | +10.5 |
| Relative (%) | +40.5 | -16.1 | +31.2 | -18.1 | +35.6 | -8.1 | -49.4 | +11.4 | -25.9 | +38.6 | +4.6 | |
| Steps (reduced) |
20 (6) |
20 (6) |
21 (0) |
21 (0) |
22 (1) |
22 (1) |
22 (1) |
23 (2) |
23 (2) |
24 (3) |
24 (3) | |