Harmonics 3–6: Difference between revisions
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{{Infobox harmonics|3}} | |||
{{Harmonics intro|3}} It is the first nontrivial scale of the series, since it is the first to demonstrate [[chirality]]. The notes of this scale form a 3:4:5 triad (first rotation of the [[just major triad]]) in root position. | |||
== Intervals == | == Intervals == | ||
| Line 6: | Line 7: | ||
! Cents | ! Cents | ||
! Ratio | ! Ratio | ||
! Decimal | |||
! Interval name | ! Interval name | ||
! Audio | ! Audio | ||
| Line 12: | Line 14: | ||
| 0.0 | | 0.0 | ||
| [[1/1]] | | [[1/1]] | ||
| 1.0000 | |||
| perfect unison | | perfect unison | ||
| | | | ||
| Line 18: | Line 21: | ||
| 498.0 | | 498.0 | ||
| [[4/3]] | | [[4/3]] | ||
| 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 24: | Line 28: | ||
| 884.4 | | 884.4 | ||
| [[5/3]] | | [[5/3]] | ||
| 1.6667 | |||
| just major sixth | | just major sixth | ||
| [[File:Jid_5_3_pluck_adu_dr220.mp3]] | | [[File:Jid_5_3_pluck_adu_dr220.mp3]] | ||
| Line 30: | Line 35: | ||
| 1200.0 | | 1200.0 | ||
| [[2/1]] | | [[2/1]] | ||
| 2.0000 | |||
| perfect octave | | perfect octave | ||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | | [[File:Jid_2_1_pluck_adu_dr220.mp3]] | ||
|} | |} | ||
{{Navbox harmonics}} | |||
Latest revision as of 23:49, 10 October 2026
| Prime factorization | 3 (prime) |
| Dual sharp fifth | 5/3 (884.359c) |
| Dual flat fifth | 4/3 (498.045c) |
The harmonics 3–6 (also harmonic series segment 3::6 or harmonic series mode 3) are a scale that consists of harmonics 3 through 6 (3:4:5:6) and repeats at the octave. Used as a tuning system, it is also called 3afdo. The inverse consists of subharmonics 3–6. It is the first nontrivial scale of the series, since it is the first to demonstrate chirality. The notes of this scale form a 3:4:5 triad (first rotation of the just major triad) in root position.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0.0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 498.0 | 4/3 | 1.3333 | just perfect fourth | |
| 2 | 884.4 | 5/3 | 1.6667 | just major sixth | |
| 3 | 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 |