Harmonics 18–36
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| Prime factorization | 2 × 32 |
| Fifth | 27/18 (701.955c) |
The harmonics 18–36 (also harmonic series segment 18::36 or harmonic series mode 18) are a scale that consists of harmonics 18 through 36 (18:19:…:36) and repeats at the octave. Used as a tuning system, it is also called 18afdo. The inverse consists of subharmonics 18–36.
Intervals
| # | Cents | Ratio | Decimal | Color name | Audio |
|---|---|---|---|---|---|
| 0 | 0.00 | 1/1 | 1.0000 | wa 1sn, w1 | |
| 1 | 93.60 | 19/18 | 1.0556 | ino 2nd, 19o2 | |
| 2 | 182.40 | 10/9 | 1.1111 | yo 2nd, y2 | |
| 3 | 266.87 | 7/6 | 1.1667 | zo 3rd, z3 | |
| 4 | 347.41 | 11/9 | 1.2222 | ilo 3rd, 1o3 | |
| 5 | 424.36 | 23/18 | 1.2778 | twetho 4th, 23o4 | |
| 6 | 498.04 | 4/3 | 1.3333 | wa 4th, w4 | |
| 7 | 568.72 | 25/18 | 1.3889 | yoyo 4th, yy4 | |
| 8 | 636.62 | 13/9 | 1.4444 | tho 5th, 3o5 | |
| 9 | 701.96 | 3/2 | 1.5000 | wa 5th, w5 | |
| 10 | 764.92 | 14/9 | 1.5556 | zo 6th, z6 | |
| 11 | 825.67 | 29/18 | 1.6111 | tweno 6th, 29o6 | |
| 12 | 884.36 | 5/3 | 1.6667 | yo 6th, y6 | |
| 13 | 941.13 | 31/18 | 1.7222 | thiwo 6th, 31o6 | |
| 14 | 996.09 | 16/9 | 1.7778 | wa 7th, w7 | |
| 15 | 1049.36 | 11/6 | 1.8333 | ilo 7th, 1o7 | |
| 16 | 1101.05 | 17/9 | 1.8889 | iso 8ve, 17o8 | |
| 17 | 1151.23 | 35/18 | 1.9444 | zoyo 8ve, zy8 | |
| 18 | 1200.00 | 2/1 | 2.0000 | wa 8ve, w8 |
| 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 |