Harmonics 37–74
| Prime factorization | 37 (prime) |
| Dual sharp fifth | 56/37 (717.482c) |
| Dual flat fifth | 55/37 (686.288c) |
The harmonics 37–74 (also harmonic series segment 37::74 or harmonic series mode 37) are a scale that consists of harmonics 37 through 74 (37:38:…:74) and repeats at the octave. Used as a tuning system, it is also called 37afdo.
It is the first odd-numbered mode in which both fifths (all odd-numbered modes being either dual-fifth or fifthless) are diatonic, and has the incredibly accurate 44/37 quarter-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 |