4:5:6:9 is an added-ninth chord in 5-limit just intonation.
Edo approximations for 4:5:6:9 ▶
intervals: 5/4, 3/2, 9/4 · ≤ 60edo, RMS rel. error ≤ 15%
| |
Edo |
Steps |
Cents (¢) |
Absolute errors (¢) |
RMS (¢) |
RMS (%)
|
| ▶ |
7 |
0 2 4 8 |
0.00 342.86 685.71 1371.43 |
0.00 -43.46 -16.24 -32.48 |
16.45 |
9.60
|
| ▶ |
12 |
0 4 7 14 |
0.00 400.00 700.00 1400.00 |
0.00 +13.69 -1.96 -3.91 |
6.91 |
6.91
|
| ▶ |
19 |
0 6 11 22 |
0.00 378.95 694.74 1389.47 |
0.00 -7.37 -7.22 -14.44 |
5.10 |
8.08
|
| ▶ |
22 |
0 7 13 26 |
0.00 381.82 709.09 1418.18 |
0.00 -4.50 +7.14 +14.27 |
7.13 |
13.07
|
| ▶ |
24 |
0 8 14 28 |
0.00 400.00 700.00 1400.00 |
0.00 +13.69 -1.96 -3.91 |
6.91 |
13.83
|
| ▶ |
31 |
0 10 18 36 |
0.00 387.10 696.77 1393.55 |
0.00 +0.78 -5.18 -10.36 |
4.48 |
11.58
|
| ▶ |
34 |
0 11 20 40 |
0.00 388.24 705.88 1411.76 |
0.00 +1.92 +3.93 +7.85 |
2.91 |
8.24
|
| ▶ |
41 |
0 13 24 48 |
0.00 380.49 702.44 1404.88 |
0.00 -5.83 +0.48 +0.97 |
2.75 |
9.41
|
| ▶ |
46 |
0 15 27 54 |
0.00 391.30 704.35 1408.70 |
0.00 +4.99 +2.39 +4.79 |
2.03 |
7.79
|
| ▶ |
53 |
0 17 31 62 |
0.00 384.91 701.89 1403.77 |
0.00 -1.41 -0.07 -0.14 |
0.58 |
2.57
|
| ▶ |
58 |
0 19 34 68 |
0.00 393.10 703.45 1406.90 |
0.00 +6.79 +1.49 +2.99 |
2.52 |
12.20
|
| ▶ |
60 |
0 19 35 70 |
0.00 380.00 700.00 1400.00 |
0.00 -6.31 -1.96 -3.91 |
2.34 |
11.70
|
See also