140:180:210:252:315
140:180:210:252:315 is the subharmonic ninth chord. It is a septimal dominant ninth chord. It is the inverse of 4:5:6:7:9, and can serve as the fundamental utonal consonance of the 9-odd-limit, with many chords being a subset of it or one of its inversions. Its otonal inverse, 4:5:6:7:9, can also be seen as a fundamental chord, and subsets can be taken out of it as well. The 1/(9:7:6:5:4) chord can be modified to get its otonal inverse by inflecting both the third and seventh down by 36/35, so the third becomes 5/4 and the seventh 7/4.
| Chord information |
ru gu-7 add-9 or r,g7,9
| Edo | Steps | Cents (¢) | Absolute errors (¢) | RMS (¢) | RMS (%) | |
|---|---|---|---|---|---|---|
| ▶ | 12 | 0 4 7 10 14 |
0.00 400.00 700.00 1000.00 1400.00 |
0.00 -35.08 -1.96 -17.60 -3.91 |
13.22 | 13.22 |
| ▶ | 19 | 0 7 11 16 22 |
0.00 442.11 694.74 1010.53 1389.47 |
0.00 +7.02 -7.22 -7.07 -14.44 |
7.29 | 11.54 |
| ▶ | 22 | 0 8 13 19 26 |
0.00 436.36 709.09 1036.36 1418.18 |
0.00 +1.28 +7.14 +18.77 +14.27 |
7.28 | 13.34 |
| ▶ | 27 | 0 10 16 23 32 |
0.00 444.44 711.11 1022.22 1422.22 |
0.00 +9.36 +9.16 +4.63 +18.31 |
6.07 | 13.67 |
| ▶ | 31 | 0 11 18 26 36 |
0.00 425.81 696.77 1006.45 1393.55 |
0.00 -9.28 -5.18 -11.14 -10.36 |
4.14 | 10.70 |
| ▶ | 41 | 0 15 24 35 48 |
0.00 439.02 702.44 1024.39 1404.88 |
0.00 +3.94 +0.48 +6.79 +0.97 |
2.58 | 8.80 |
| ▶ | 46 | 0 17 27 39 54 |
0.00 443.48 704.35 1017.39 1408.70 |
0.00 +8.39 +2.39 -0.20 +4.79 |
3.22 | 12.35 |
| ▶ | 53 | 0 19 31 45 62 |
0.00 430.19 701.89 1018.87 1403.77 |
0.00 -4.90 -0.07 +1.27 -0.14 |
2.13 | 9.41 |
| ▶ | 58 | 0 21 34 49 68 |
0.00 434.48 703.45 1013.79 1406.90 |
0.00 -0.60 +1.49 -3.80 +2.99 |
2.28 | 11.02 |