Harmonics 7–14: Difference between revisions
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CompactStar (talk | contribs) Created page with "'''7ado''' is the arithmetic equal division of the octave into seven parts of 1/7 each. As 7 is a small odd number, this ADO does not contain a perfect fifth or any re..." |
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{{Infobox harmonics|7}} | |||
{{Harmonics intro|7}} As 7 is a small odd number, this scale does not contain a perfect fifth or any reasonable approximation to one in its root position. This makes it relatively poor for its size at creating traditional tonal music unless rotated. The [[otonal heptad]] is the same scale but starting on the second degree. | |||
== Intervals == | == Intervals == | ||
| Line 6: | Line 7: | ||
! Cents | ! Cents | ||
! Ratio | ! Ratio | ||
! Decimal | |||
! Interval name | ! Interval name | ||
! Audio | ! Audio | ||
| Line 12: | Line 14: | ||
| 0 | | 0 | ||
| [[1/1]] | | [[1/1]] | ||
| 1.0000 | |||
| perfect unison | | perfect unison | ||
| | | | ||
| Line 18: | Line 21: | ||
| 231.2 | | 231.2 | ||
| [[8/7]] | | [[8/7]] | ||
| 1.1429 | |||
| supermajor second | | supermajor second | ||
| [[File:Jid_8_7_pluck_adu_dr220.mp3]] | | [[File:Jid_8_7_pluck_adu_dr220.mp3]] | ||
| Line 24: | Line 28: | ||
| 435.1 | | 435.1 | ||
| [[9/7]] | | [[9/7]] | ||
| 1.2857 | |||
| supermajor third | | supermajor third | ||
| [[File:Jid_9_7_pluck_adu_dr220.mp3]] | | [[File:Jid_9_7_pluck_adu_dr220.mp3]] | ||
| Line 30: | Line 35: | ||
| 617.5 | | 617.5 | ||
| [[10/7]] | | [[10/7]] | ||
| 1.4286 | |||
| high tritone | | high tritone | ||
| [[File:Jid_10_7_pluck_adu_dr220.mp3]] | | [[File:Jid_10_7_pluck_adu_dr220.mp3]] | ||
| Line 36: | Line 42: | ||
| 782.4 | | 782.4 | ||
| [[11/7]] | | [[11/7]] | ||
| 1.5714 | |||
| undecimal minor sixth | | undecimal minor sixth | ||
| [[File:Jid_11_7_pluck_adu_dr220.mp3]] | | [[File:Jid_11_7_pluck_adu_dr220.mp3]] | ||
| Line 42: | Line 49: | ||
| 933.1 | | 933.1 | ||
| [[12/7]] | | [[12/7]] | ||
| 1.7143 | |||
| supermajor sixth | | supermajor sixth | ||
| [[File:Jid_12_7_pluck_adu_dr220.mp3]] | | [[File:Jid_12_7_pluck_adu_dr220.mp3]] | ||
| Line 47: | Line 55: | ||
| 6 | | 6 | ||
| 1071.7 | | 1071.7 | ||
| [[13/7]] | |||
| 1.8571 | |||
| tridecimal submajor seventh | | tridecimal submajor seventh | ||
| [[File: | | [[File:Jid_13_7_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 7 | | 7 | ||
| 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]] | ||
|} | |} | ||
[[Category: | == Scala files == | ||
<pre> | |||
! harmd-mix.scl | |||
! | |||
HarmD-Mixolydian. Harmonics 7-14 | |||
7 | |||
! | |||
8/7 | |||
9/7 | |||
10/7 | |||
11/7 | |||
12/7 | |||
13/7 | |||
2/1 | |||
</pre> | |||
{{Navbox harmonics}} | |||
[[Category:7-tone scales]] | |||
[[Category:Pages with Scala files]] | |||
Latest revision as of 08:19, 11 October 2026
| Prime factorization | 7 (prime) |
| Dual sharp fifth | 11/7 (782.492c) |
| Dual flat fifth | 10/7 (617.488c) |
The harmonics 7–14 (also harmonic series segment 7::14 or harmonic series mode 7) are a scale that consists of harmonics 7 through 14 (7:8:9:10:11:12:13:14) and repeats at the octave. Used as a tuning system, it is also called 7afdo. As 7 is a small odd number, this scale does not contain a perfect fifth or any reasonable approximation to one in its root position. This makes it relatively poor for its size at creating traditional tonal music unless rotated. The otonal heptad is the same scale but starting on the second degree.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 231.2 | 8/7 | 1.1429 | supermajor second | |
| 2 | 435.1 | 9/7 | 1.2857 | supermajor third | |
| 3 | 617.5 | 10/7 | 1.4286 | high tritone | |
| 4 | 782.4 | 11/7 | 1.5714 | undecimal minor sixth | |
| 5 | 933.1 | 12/7 | 1.7143 | supermajor sixth | |
| 6 | 1071.7 | 13/7 | 1.8571 | tridecimal submajor seventh | |
| 7 | 1200.0 | 2/1 | 2.0000 | perfect octave |
Scala files
! harmd-mix.scl ! HarmD-Mixolydian. Harmonics 7-14 7 ! 8/7 9/7 10/7 11/7 12/7 13/7 2/1
| 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 |