Harmonics 5–10
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| Prime factorization | 5 (prime) |
| Dual sharp fifth | 8/5 (813.686c) |
| Dual flat fifth | 7/5 (582.512c) |
The harmonic segment 5::10 (also harmonics 5–10) consists of harmonics 5 through 10 (5:6:7:8:9:10) and spans one octave above the root. Used as a scale, it is also called mode 5 of the harmonic series. As 5 is a small odd number, this scale does not contain a perfect fifth or any reasonable approximation to it over the root, and it is relatively poor for its size at creating traditional tonal music compared to harmonics 4–8 and harmonics 6–12 (again only if over the root, the modes have more to offer).
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 315.6 | 6/5 | 1.2000 | just minor third | |
| 2 | 582.5 | 7/5 | 1.40000 | narrow tritone | |
| 3 | 813.7 | 8/5 | 1.6000 | just minor sixth | |
| 4 | 1017.6 | 9/5 | 1.8000 | just minor seventh | |
| 5 | 1200.0 | 2/1 | 2.0000 | perfect octave |
Scala files
- Otonalpentad – this file starts with 8/5
| 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 |