Harmonics 4–8
The harmonics 4–8 (also harmonic series segment 4::8 or harmonic series mode 4) are a scale that consists of harmonics 4 through 8 (4:5:6:7:8) and repeats at the octave. Used as a tuning system, it is also called 4afdo. The notes of this scale create a harmonic seventh chord.
| Prime factorization | 22 |
| Fifth | 6/4 (701.955c) |
The smallest edos that maintain 25% or lower relative error on all intervals of this scale are 10edo and 15edo, though they are not very accurate. The next two edos, 22edo and 31edo, are the smallest that approximate this scale with appreciable accuracy.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 386.3 | 5/4 | 1.2500 | just major third | |
| 2 | 702.0 | 3/2 | 1.5000 | just perfect fifth | |
| 3 | 968.8 | 7/4 | 1.7500 | harmonic seventh | |
| 4 | 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 |