81/49, the novel submajor sixth or septimal augmented fifth, is a 7-limit interval. It is the interval created by stacking two 9/7s, and is equated to 5/3 in sensamagic (245/243) temperaments, including no-twos BPS.
Approximations
Edo approximations for 81/49 (870.17 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 4 |
3\4 |
900.00 |
+29.83 |
+9.94
|
| 7 |
5\7 |
857.14 |
-13.03 |
-7.60
|
| 11 |
8\11 |
872.73 |
+2.56 |
+2.35
|
| 18 |
13\18 |
866.67 |
-3.50 |
-5.25
|
| 22 |
16\22 |
872.73 |
+2.56 |
+4.69
|
| 29 |
21\29 |
868.97 |
-1.20 |
-2.91
|
| 33 |
24\33 |
872.73 |
+2.56 |
+7.04
|
| 40 |
29\40 |
870.00 |
-0.17 |
-0.56
|
| 44 |
32\44 |
872.73 |
+2.56 |
+9.38
|
| 47 |
34\47 |
868.09 |
-2.08 |
-8.16
|
| 51 |
37\51 |
870.59 |
+0.42 |
+1.79
|
| 58 |
42\58 |
868.97 |
-1.20 |
-5.81
|
| 62 |
45\62 |
870.97 |
+0.80 |
+4.13
|
| 69 |
50\69 |
869.57 |
-0.60 |
-3.47
|
| 73 |
53\73 |
871.23 |
+1.06 |
+6.48
|
| 80 |
58\80 |
870.00 |
-0.17 |
-1.12
|
See also
- 98/81, its octave complement
