Harmonics 10–20
The harmonic segment 10::20 (also harmonics 10–20) consists of harmonics 10 through 20 (10:11:…:20) and spans one octave above the root. Used as a scale, it is also called mode 10 of the harmonic series. Unlike its half harmonics 5–10, this scale is actually quite effective, having a minor and supermajor triad on the root.
| Prime factorization | 2 × 5 |
| Fifth | 15/10 (701.955c) |
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0.00 | 1/1 | 1.0000 | perfect unison | |
| 1 | 165.00 | 11/10 | 1.1000 | large undecimal neutral second | |
| 2 | 315.64 | 6/5 | 1.2000 | just minor third | |
| 3 | 454.21 | 13/10 | 1.3000 | tridecimal semisixth | |
| 4 | 582.51 | 7/5 | 1.4000 | narrow tritone | |
| 5 | 701.96 | 3/2 | 1.50000 | just perfect fifth | |
| 6 | 813.68 | 8/5 | 1.6000 | just minor sixth | |
| 7 | 918.64 | 17/10 | 1.7000 | septendecimal major sixth | |
| 8 | 1017.60 | 9/5 | 1.8000 | just minor seventh | |
| 9 | 1111.20 | 19/10 | 1.9000 | undevicesimal diminished octave | |
| 1 | 1200.00 | 2/1 | 2.0000 | perfect octave |
Scales
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This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.
Terms: Most of these names were coined, and are solely used, by Budjarn Lambeth - however he was only the first to name many of these scales, others have probably already used them before him |
- 10:12:15:16:18:20 Cyberspace
- 10:12:15:17:18:20 Underpass
| 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 |