Harmonics 7–14
The harmonics 7–14 (also harmonic series segment 7::14 or harmonic series mode 7) are a scale that consists of harmonics 7 through 14 (7:8:9:10:11:12:13:14) and repeats at the octave. Used as a tuning system, it is also called 7afdo. As 7 is a small odd number, this scale does not contain a perfect fifth or any reasonable approximation to one in its root position. This makes it relatively poor for its size at creating traditional tonal music unless rotated. The otonal heptad is the same scale but starting on the second degree.
| Prime factorization | 7 (prime) |
| Dual sharp fifth | 11/7 (782.492c) |
| Dual flat fifth | 10/7 (617.488c) |
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 231.2 | 8/7 | 1.1429 | supermajor second | |
| 2 | 435.1 | 9/7 | 1.2857 | supermajor third | |
| 3 | 617.5 | 10/7 | 1.4286 | high tritone | |
| 4 | 782.4 | 11/7 | 1.5714 | undecimal minor sixth | |
| 5 | 933.1 | 12/7 | 1.7143 | supermajor sixth | |
| 6 | 1071.7 | 13/7 | 1.8571 | tridecimal submajor seventh | |
| 7 | 1200.0 | 2/1 | 2.0000 | perfect octave |
Scala files
| 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 |