5:6:7 is a diminished triad found as an upper structure of 4:5:6:7, the harmonic seventh chord. As a 7-odd-limit otonal chord, this is the most consonant JI tuning of a diminished triad.
Edo approximations for 5:6:7 ▶
intervals: 6/5, 7/5 · ≤ 60edo, RMS rel. error ≤ 15%
| |
Edo |
Steps |
Cents (¢) |
Absolute errors (¢) |
RMS (¢) |
RMS (%)
|
| ▶ |
8 |
0 2 4 |
0.00 300.00 600.00 |
0.00 -15.64 +17.49 |
13.53 |
9.02
|
| ▶ |
12 |
0 3 6 |
0.00 300.00 600.00 |
0.00 -15.64 +17.49 |
13.53 |
13.53
|
| ▶ |
14 |
0 4 7 |
0.00 342.86 600.00 |
0.00 +27.22 +17.49 |
11.26 |
13.14
|
| ▶ |
15 |
0 4 7 |
0.00 320.00 560.00 |
0.00 +4.36 -22.51 |
11.77 |
14.72
|
| ▶ |
18 |
0 5 9 |
0.00 333.33 600.00 |
0.00 +17.69 +17.49 |
8.29 |
12.44
|
| ▶ |
19 |
0 5 9 |
0.00 315.79 568.42 |
0.00 +0.15 -14.09 |
6.68 |
10.57
|
| ▶ |
22 |
0 6 11 |
0.00 327.27 600.00 |
0.00 +11.63 +17.49 |
7.27 |
13.32
|
| ▶ |
23 |
0 6 11 |
0.00 313.04 573.91 |
0.00 -2.60 -8.60 |
3.60 |
6.90
|
| ▶ |
27 |
0 7 13 |
0.00 311.11 577.78 |
0.00 -4.53 -4.73 |
2.19 |
4.92
|
| ▶ |
31 |
0 8 15 |
0.00 309.68 580.65 |
0.00 -5.96 -1.87 |
2.49 |
6.43
|
| ▶ |
35 |
0 9 17 |
0.00 308.57 582.86 |
0.00 -7.07 +0.34 |
3.42 |
9.97
|
| ▶ |
37 |
0 10 18 |
0.00 324.32 583.78 |
0.00 +8.68 +1.27 |
3.83 |
11.81
|
| ▶ |
39 |
0 10 19 |
0.00 307.69 584.62 |
0.00 -7.95 +2.10 |
4.33 |
14.07
|
| ▶ |
41 |
0 11 20 |
0.00 321.95 585.37 |
0.00 +6.31 +2.85 |
2.58 |
8.81
|
| ▶ |
45 |
0 12 22 |
0.00 320.00 586.67 |
0.00 +4.36 +4.15 |
2.01 |
7.53
|
| ▶ |
46 |
0 12 22 |
0.00 313.04 573.91 |
0.00 -2.60 -8.60 |
3.60 |
13.80
|
| ▶ |
49 |
0 13 24 |
0.00 318.37 587.76 |
0.00 +2.73 +5.24 |
2.14 |
8.74
|
| ▶ |
50 |
0 13 24 |
0.00 312.00 576.00 |
0.00 -3.64 -6.51 |
2.66 |
11.10
|
| ▶ |
53 |
0 14 26 |
0.00 316.98 588.68 |
0.00 +1.34 +6.17 |
2.65 |
11.70
|
| ▶ |
54 |
0 14 26 |
0.00 311.11 577.78 |
0.00 -4.53 -4.73 |
2.19 |
9.83
|
| ▶ |
58 |
0 15 28 |
0.00 310.34 579.31 |
0.00 -5.30 -3.20 |
2.18 |
10.53
|
| ▶ |
60 |
0 16 29 |
0.00 320.00 580.00 |
0.00 +4.36 -2.51 |
2.84 |
14.19
|
See also
