Harmonics 9–18
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| Prime factorization | 32 |
| Dual sharp fifth | 14/9 (764.916c) |
| Dual flat fifth | 13/9 (636.618c) |
The harmonic segment 9::18 (also harmonics 9–18) consists of harmonics 9 through 18 (9:10:…:18) and spans one octave above the root. Used as a scale, it is also called mode 9 of the harmonic series. As 9 is a small odd number, this scale does not contain a perfect fifth above the root.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 182.4 | 10/9 | 1.1111 | small whole tone | |
| 2 | 347.4 | 11/9 | 1.2222 | undecimal neutral third | |
| 3 | 498.0 | 4/3 | 1.3333 | perfect fourth | |
| 4 | 636.6 | 13/9 | 1.4444 | tridecimal diminished fifth | |
| 5 | 764.9 | 14/9 | 1.5556 | subminor sixth | |
| 6 | 884.4 | 5/3 | 1.6667 | just major sixth | |
| 7 | 996.1 | 16/9 | 1.7778 | Pythagorean minor seventh | |
| 8 | 1101.0 | 17/9 | 1.8889 | large septendecimal major seventh | |
| 9 | 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 |