22:28:33
| Chord information |
22:28:33, the pentacircle major triad, is an 11-limit tertian triad. This triad has a brighter quality than the 4:5:6 classical major triad, though not as much as the 14:18:21 supermajor triad. Here 14/11 functions as a neogothic major third, being between 5/4 and 9/7, in fact being (5 + 9)/(4 + 7), which is the mediant of 5/4 and 9/7, and 33/28 functions as the corresponding neogothic minor third.
We can find another neogothic minor third by taking the mediant of 7/6 and 6/5, which is (7 + 6)/(6 + 5) = 13/11. The triad containing this third and the perfect fifth is 22:26:33. Note that these triads are reduced to the 13-odd-limit and invert to each other if and only if (14/11)⋅(13/11)/(3/2) = 364/363, the minor minthma or gentle comma, is tempered out.
| Edo | Steps | Cents (¢) | Absolute errors (¢) | RMS (¢) | RMS (%) | |
|---|---|---|---|---|---|---|
| ▶ | 8 | 0 3 5 |
0.00 450.00 750.00 |
0.00 +32.49 +48.04 |
20.02 | 13.34 |
| ▶ | 9 | 0 3 5 |
0.00 400.00 666.67 |
0.00 -17.51 -35.29 |
14.41 | 10.80 |
| ▶ | 12 | 0 4 7 |
0.00 400.00 700.00 |
0.00 -17.51 -1.96 |
7.83 | 7.83 |
| ▶ | 14 | 0 5 8 |
0.00 428.57 685.71 |
0.00 +11.06 -16.24 |
11.21 | 13.08 |
| ▶ | 17 | 0 6 10 |
0.00 423.53 705.88 |
0.00 +6.02 +3.93 |
2.50 | 3.54 |
| ▶ | 20 | 0 7 12 |
0.00 420.00 720.00 |
0.00 +2.49 +18.04 |
7.98 | 13.31 |
| ▶ | 21 | 0 7 12 |
0.00 400.00 685.71 |
0.00 -17.51 -16.24 |
7.97 | 13.95 |
| ▶ | 22 | 0 8 13 |
0.00 436.36 709.09 |
0.00 +18.86 +7.14 |
7.77 | 14.25 |
| ▶ | 26 | 0 9 15 |
0.00 415.38 692.31 |
0.00 -2.12 -9.65 |
4.14 | 8.97 |
| ▶ | 29 | 0 10 17 |
0.00 413.79 703.45 |
0.00 -3.71 +1.49 |
2.19 | 5.29 |
| ▶ | 31 | 0 11 18 |
0.00 425.81 696.77 |
0.00 +8.30 -5.18 |
5.55 | 14.34 |
| ▶ | 34 | 0 12 20 |
0.00 423.53 705.88 |
0.00 +6.02 +3.93 |
2.50 | 7.07 |
| ▶ | 37 | 0 13 22 |
0.00 421.62 713.51 |
0.00 +4.11 +11.56 |
4.78 | 14.75 |
| ▶ | 38 | 0 13 22 |
0.00 410.53 694.74 |
0.00 -6.98 -7.22 |
3.35 | 10.60 |
| ▶ | 41 | 0 14 24 |
0.00 409.76 702.44 |
0.00 -7.75 +0.48 |
3.77 | 12.89 |
| ▶ | 43 | 0 15 25 |
0.00 418.60 697.67 |
0.00 +1.10 -4.28 |
2.32 | 8.31 |
| ▶ | 46 | 0 16 27 |
0.00 417.39 704.35 |
0.00 -0.12 +2.39 |
1.16 | 4.43 |
| ▶ | 51 | 0 18 30 |
0.00 423.53 705.88 |
0.00 +6.02 +3.93 |
2.50 | 10.61 |
| ▶ | 55 | 0 19 32 |
0.00 414.55 698.18 |
0.00 -2.96 -3.77 |
1.62 | 7.43 |
| ▶ | 58 | 0 20 34 |
0.00 413.79 703.45 |
0.00 -3.71 +1.49 |
2.19 | 10.58 |
| ▶ | 60 | 0 21 35 |
0.00 420.00 700.00 |
0.00 +2.49 -1.96 |
1.82 | 9.10 |
See also
- 28:33:42 – its inverse