Bicycle: Difference between revisions
added francium's bicycle track to the page |
+intro; rework music section |
||
| Line 1: | Line 1: | ||
'''Bicycle''' is a 12-tone [[just intonation]] [[scale]]. [[Scott Dakota]] also refers to this scale as '''Almond'''. | |||
<pre> | <pre> | ||
! bicycle.scl | ! bicycle.scl | ||
| Line 23: | Line 25: | ||
Bicycle has a very elegant structure consisting of two 2:3:5:7:9:11:13 otonalities, one rooted and one offset by 4/3, octave reduced. It has the [[constant structure]] property. | Bicycle has a very elegant structure consisting of two 2:3:5:7:9:11:13 otonalities, one rooted and one offset by 4/3, octave reduced. It has the [[constant structure]] property. | ||
=== Chords === | === Chords === | ||
| Line 90: | Line 90: | ||
Bicycle, rewritten as a harmonic series segment, is 24:26:27:28:30:32:33:36:39:40:42:44:48. This relative simplicity means that modes of Bicycle can be used to evoke primodal sounds. For example, once again treating the root as C, the mode on B allows access to /11 intervals, and the mode on Db to /13; these two are probably the best suited for primodal approaches, since more composite numbers are thought to have less distinct primodal sounds. The simplicity of this scale in the harmonic series also means that an amount of [[gestalt linear effect]] can be heard when voicing large chords in the scale with harmonic timbres. | Bicycle, rewritten as a harmonic series segment, is 24:26:27:28:30:32:33:36:39:40:42:44:48. This relative simplicity means that modes of Bicycle can be used to evoke primodal sounds. For example, once again treating the root as C, the mode on B allows access to /11 intervals, and the mode on Db to /13; these two are probably the best suited for primodal approaches, since more composite numbers are thought to have less distinct primodal sounds. The simplicity of this scale in the harmonic series also means that an amount of [[gestalt linear effect]] can be heard when voicing large chords in the scale with harmonic timbres. | ||
== Music == | |||
; [[User:CellularAutomaton|CellularAutomaton]] | |||
* [https://cellularautomaton.bandcamp.com/track/animalcules ''animalcules''] (2023) | |||
; [[User:Francium|Francium]] | |||
* [https://www.youtube.com/watch?v=ratGb2qTStQ ''Bicycle Wheels''] (2023) | |||
* [https:// | ; [[Xotla]] | ||
* "Perfect Dystopia" from ''Microtones & Garden Gnomes'' (2017) [https://xotla.bandcamp.com/track/perfect-dystopia-mixed-intonation Bandcamp] | [https://youtu.be/x_5YqboXfAA?si=3WT9lQmnoyp0QNxZ YouTube] | |||
[[Category:12-tone scales]] | [[Category:12-tone scales]] | ||
Revision as of 09:44, 6 October 2023
Bicycle is a 12-tone just intonation scale. Scott Dakota also refers to this scale as Almond.
! bicycle.scl ! 13-limit harmonic bicycle, George Secor, 1963 ! Transposition of Wilson's Helix Song, see David Rosenthal, Helix Song, XH 7&8, 1979 ! Also Andrew Heathwaite's Rodan scale 12 ! 13/12 9/8 7/6 5/4 4/3 11/8 3/2 13/8 5/3 7/4 11/6 2/1
Theory
Bicycle has a very elegant structure consisting of two 2:3:5:7:9:11:13 otonalities, one rooted and one offset by 4/3, octave reduced. It has the constant structure property.
Chords
Triads
There are a wide variety of thirds available on roots that have 3/2s in Bicycle. Notable thirds which can be paired with perfect fifths include 5/4, 6/5, 7/6, 9/7, 11/9, 27/22, 13/11, 14/11, 13/10, 15/13, and 16/13.
Tetrads
One notable type of tetrad has a perfect fifth between the root and fifth and another between the third and seventh; the common 12edo major seventh and minor seventh chords are both of this type. Many such tetrads exist in Bicycle. They are listed below with the scale on C:
1/1-5/4-3/2-15/8 (on F)
1/1-6/5-3/2-9/5 (on A)
1/1-7/6-3/2-7/4 (on C)
1/1-9/7-3/2-27/14 (on Eb)
1/1-11/9-3/2-11/6 (on G)
1/1-13/11-3/2-39/22 (on B)
1/1-14/11-3/2-21/11 (on B)
1/1-13/10-3/2-39/20 (on A)
1/1-16/13-3/2-24/13 (on Db)
Pitch classes and harmonics (on C)
| F | C | A | Eb | G | B | Db |
|---|---|---|---|---|---|---|
| 2 | 3 | 5 | 7 | 9 | 11 | 13 |
| C | G | E | Bb | D | F# | Ab |
| 3 | 9 | 15 | 21 | 27 | 33 | 39 |
Primodality
Bicycle, rewritten as a harmonic series segment, is 24:26:27:28:30:32:33:36:39:40:42:44:48. This relative simplicity means that modes of Bicycle can be used to evoke primodal sounds. For example, once again treating the root as C, the mode on B allows access to /11 intervals, and the mode on Db to /13; these two are probably the best suited for primodal approaches, since more composite numbers are thought to have less distinct primodal sounds. The simplicity of this scale in the harmonic series also means that an amount of gestalt linear effect can be heard when voicing large chords in the scale with harmonic timbres.
Music
- animalcules (2023)
- Bicycle Wheels (2023)