Harmonics 3–6
The harmonics 3–6 (also harmonic series segment 3::6 or harmonic series mode 3) are a scale that consists of harmonics 3 through 6 (3:4:5:6) and repeats at the octave. Used as a tuning system, it is also called 3afdo. The inverse consists of subharmonics 3–6. It is the first nontrivial scale of the series, since it is the first to demonstrate chirality. The notes of this scale form a 3:4:5 triad (first rotation of the just major triad) in root position.
| Prime factorization | 3 (prime) |
| Dual sharp fifth | 5/3 (884.359c) |
| Dual flat fifth | 4/3 (498.045c) |
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0.0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 498.0 | 4/3 | 1.3333 | just perfect fourth | |
| 2 | 884.4 | 5/3 | 1.6667 | just major sixth | |
| 3 | 1200.0 | 2/1 | 2.0000 | perfect octave |
| View • Talk • EditOvertone scales | |
|---|---|
| Small modes | 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 |
| Larger modes | 30 • 32 • 36 • 48 • 60 • 128 |
| Families | /2: 2 • 4 • 8 • 16 • 32 • 128 /3: 3 • 6 • 9 • 12 • 15 • 18 • 21 • 24 /5: 5 • 10 • 15 • 20 • 25 • 30 • 35 • 60 • 80 /7: 7 • 14 • 21 • 28 • 35 • 56 /11: 11 • 22 • 33 /13: 13 • 26 |
| Related | Harmonic series • Subharmonic series • Carlos harmonic scale • Ringer scale • Primodality |