The BP eighth, 49/25, is an interval approximated by many notable tunings, including but not limited to Bohlen-Pierce, 27edo, 34edo, 53edo and 72edo. As a stack of two diminished fifths 7/5, it can be thought of as a diminished 9th.
Approximation
Edo approximations for 49/25 (1165.02 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 2 |
2\2 |
1200.00 |
+34.98 |
+5.83
|
| 3 |
3\3 |
1200.00 |
+34.98 |
+8.74
|
| 31 |
30\31 |
1161.29 |
-3.73 |
-9.65
|
| 32 |
31\32 |
1162.50 |
-2.52 |
-6.73
|
| 33 |
32\33 |
1163.64 |
-1.39 |
-3.82
|
| 34 |
33\34 |
1164.71 |
-0.32 |
-0.90
|
| 35 |
34\35 |
1165.71 |
+0.69 |
+2.01
|
| 36 |
35\36 |
1166.67 |
+1.64 |
+4.93
|
| 37 |
36\37 |
1167.57 |
+2.54 |
+7.84
|
| 66 |
64\66 |
1163.64 |
-1.39 |
-7.63
|
| 67 |
65\67 |
1164.18 |
-0.85 |
-4.72
|
| 68 |
66\68 |
1164.71 |
-0.32 |
-1.80
|
| 69 |
67\69 |
1165.22 |
+0.19 |
+1.11
|
| 70 |
68\70 |
1165.71 |
+0.69 |
+4.02
|
| 71 |
69\71 |
1166.20 |
+1.17 |
+6.94
|
| 72 |
70\72 |
1166.67 |
+1.64 |
+9.85
|