Harmonics 6–12: Difference between revisions
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{{Infobox harmonics|6}} | |||
[[File:6ado scale.wav|thumb]] | [[File:6ado scale.wav|thumb]] | ||
{{Harmonics intro|6}} In its root position, it is an effective system that contains several useful intervals such as [[7/6]], [[4/3]] and [[3/2]], although it lacks a major third. | |||
== Intervals == | == Intervals == | ||
| Line 22: | Line 23: | ||
| 266.9 | | 266.9 | ||
| [[7/6]] | | [[7/6]] | ||
| 1. | | 1.1667 | ||
| subminor third | | subminor third | ||
| [[File:Jid_7_6_pluck_adu_dr220.mp3]] | | [[File:Jid_7_6_pluck_adu_dr220.mp3]] | ||
| Line 29: | Line 30: | ||
| 498.0 | | 498.0 | ||
| [[4/3]] | | [[4/3]] | ||
| 1. | | 1.3333 | ||
| just perfect fourth | | just perfect fourth | ||
| [[File:Jid_4_3_pluck_adu_dr220.mp3]] | | [[File:Jid_4_3_pluck_adu_dr220.mp3]] | ||
| Line 36: | Line 37: | ||
| 702.0 | | 702.0 | ||
| [[3/2]] | | [[3/2]] | ||
| 1. | | 1.5000 | ||
| just perfect fifth | | just perfect fifth | ||
| [[File:Jid_3_2_pluck_adu_dr220.mp3]] | | [[File:Jid_3_2_pluck_adu_dr220.mp3]] | ||
| Line 43: | Line 44: | ||
| 884.5 | | 884.5 | ||
| [[5/3]] | | [[5/3]] | ||
| 1. | | 1.6667 | ||
| just | | just major sixth | ||
| [[File:Jid_5_3_pluck_adu_dr220.mp3]] | | [[File:Jid_5_3_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| Line 50: | Line 51: | ||
| 1049.4 | | 1049.4 | ||
| [[11/6]] | | [[11/6]] | ||
| 1. | | 1.8333 | ||
| undecimal neutral seventh | | undecimal neutral seventh | ||
| [[File:Jid_11_6_pluck_adu_dr220.mp3]] | | [[File:Jid_11_6_pluck_adu_dr220.mp3]] | ||
| Line 57: | Line 58: | ||
| 1200.0 | | 1200.0 | ||
| [[2/1]] | | [[2/1]] | ||
| 2. | | 2.0000 | ||
| perfect octave | | perfect octave | ||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | | [[File:Jid_2_1_pluck_adu_dr220.mp3]] | ||
|} | |} | ||
== Scales == | |||
6:7:8:9:11:12 Geode{{idiosyncratic}} | |||
{{Navbox harmonics}} | |||
Latest revision as of 23:52, 10 October 2026
| Prime factorization | 2 × 3 |
| Fifth | 9/6 (701.955c) |
The harmonic segment 6::12 (also harmonics 6–12) consists of harmonics 6 through 12 (6:7:8:9:10:11:12) and spans one octave above the root. Used as a scale, it is also called mode 6 of the harmonic series. In its root position, it is an effective system that contains several useful intervals such as 7/6, 4/3 and 3/2, although it lacks a major third.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.000 | perfect unison | |
| 1 | 266.9 | 7/6 | 1.1667 | subminor third | |
| 2 | 498.0 | 4/3 | 1.3333 | just perfect fourth | |
| 3 | 702.0 | 3/2 | 1.5000 | just perfect fifth | |
| 4 | 884.5 | 5/3 | 1.6667 | just major sixth | |
| 5 | 1049.4 | 11/6 | 1.8333 | undecimal neutral seventh | |
| 6 | 1200.0 | 2/1 | 2.0000 | perfect octave |
Scales
6:7:8:9:11:12 Geode[idiosyncratic term]
| 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 |