Harmonics 5–10: Difference between revisions
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Merge from Otonalpentad; + see also |
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{{Infobox harmonics|5}} | |||
[[File:5ado scale.wav|thumb]] | [[File:5ado scale.wav|thumb]] | ||
{{Harmonics intro|5}} 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|harmonics 4–8]] and [[Harmonics 6–12|harmonics 6–12]] (again only if over the root, the modes have more to offer). | |||
== Intervals == | == Intervals == | ||
| Line 8: | Line 9: | ||
! Cents | ! Cents | ||
! Ratio | ! Ratio | ||
! Decimal | |||
! Interval name | ! Interval name | ||
! Audio | ! Audio | ||
| Line 14: | Line 16: | ||
| 0 | | 0 | ||
| [[1/1]] | | [[1/1]] | ||
| 1.0000 | |||
| perfect unison | | perfect unison | ||
| | | | ||
| Line 20: | Line 23: | ||
| 315.6 | | 315.6 | ||
| [[6/5]] | | [[6/5]] | ||
| 1.2000 | |||
| just minor third | | just minor third | ||
| [[File:Jid_6_5_pluck_adu_dr220.mp3]] | | [[File:Jid_6_5_pluck_adu_dr220.mp3]] | ||
| Line 26: | Line 30: | ||
| 582.5 | | 582.5 | ||
| [[7/5]] | | [[7/5]] | ||
| 1.40000 | |||
| narrow tritone | | narrow tritone | ||
| [[File:Jid_7_5_pluck_adu_dr220.mp3]] | | [[File:Jid_7_5_pluck_adu_dr220.mp3]] | ||
| Line 32: | Line 37: | ||
| 813.7 | | 813.7 | ||
| [[8/5]] | | [[8/5]] | ||
| 1.6000 | |||
| just minor sixth | | just minor sixth | ||
| [[File:Jid_8_5_pluck_adu_dr220.mp3]] | | [[File:Jid_8_5_pluck_adu_dr220.mp3]] | ||
| Line 38: | Line 44: | ||
| 1017.6 | | 1017.6 | ||
| [[9/5]] | | [[9/5]] | ||
| 1.8000 | |||
| just minor seventh | | just minor seventh | ||
| [[File:Jid_9_5_pluck_adu_dr220.mp3]] | | [[File:Jid_9_5_pluck_adu_dr220.mp3]] | ||
| Line 44: | Line 51: | ||
| 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 == | ||
This file starts with 8/5. | |||
<pre> | |||
! otonalpentad.scl | |||
! | |||
The otonal pentad as a wakalix | |||
! Fokblock([28/27, 21/20, 16/15], [2, 3, 0]) = Fokblock([36/35, 21/20, 16/15], [2, 3, 0]) | |||
! = Fokblock([21/20, 36/35, 28/27], [3, 0, 0]) | |||
5 | |||
! | |||
9/8 | |||
5/4 | |||
3/2 | |||
7/4 | |||
2/1 | |||
</pre> | |||
== See also == | |||
* [[4:5:6:7:9]] – this scale as a chord | |||
{{Navbox harmonics}} | |||
[[Category:5-tone scales]] | |||
[[Category:Wakalixes]] | |||
Latest revision as of 08:48, 11 October 2026
| 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
This file starts with 8/5.
! otonalpentad.scl ! The otonal pentad as a wakalix ! Fokblock([28/27, 21/20, 16/15], [2, 3, 0]) = Fokblock([36/35, 21/20, 16/15], [2, 3, 0]) ! = Fokblock([21/20, 36/35, 28/27], [3, 0, 0]) 5 ! 9/8 5/4 3/2 7/4 2/1
See also
- 4:5:6:7:9 – this scale as a chord
| 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 |