Triads
| Ratios
|
Name
|
| 2:3:4 |
Power chord / Fifth chord
|
| 3:5:7 |
"major triad of the Bohlen–Pierce scale"
|
| 4:5:6 |
Major chord
|
| 5:6:7 |
Perfect diminished chord
|
| 6:7:9 |
"The lowest numbers producing a minor triad in the harmonic series (McIntyre 2002)"
|
| 6:8:9 |
Suspended fourth chord
|
| 8:9:12 |
Suspended second chord
|
| 10:12:15 |
Minor chord "the first occurrence of a minor triad in the harmonic series"
|
| 16:19:24 |
False minor triad?
|
| 16:20:25 |
Augmented triad
|
| 27:32:40 |
Supertonic triad?
|
| 45:54:64 |
Diminished triad
|
| 54:64:243 |
Pythagorean minor triad
|
| 64:81:96 |
Pythagorean minor triad
|
Tetrads
3:5:7:9 "the primary tetrad in the Bohlen-Pierce tuning system"
3:5:9:15 "anomalous saturated suspension" http://x31eq.com/ass.htm
3:7:9:21 "anomalous saturated suspension"
4:5:6:7 harmonic seventh chord
4:5:6:18 major seventh chord
5:6:7:9 half-diminished seventh
8:9:10:12 mu major chord
8:10:12:15 major/major seventh chord
10:12:15:18 minor seventh
12:16:17:18 dream chord
20:25:30:36 dominant seventh chord
25:30:36:45 half-diminished seventh
40:48:60:75 minor/major seventh chord
80:100:125:144 augmented seventh chord
Pentads
4:5:6:7:9 Dominant ninth chord
8:10:12:14:17 Dominant minor ninth chord
20:25:30:36:48 Dominant seventh sharp ninth chord
Hexads