Xenharmonic Wiki

Bicycle: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''Bicycle''' is a 12-tone [[just intonation]] scale. [[Scott Dakota]] also refers to this scale as '''Almond'''. It inspired the [[beach cruiser]], [[bus]] and [[car]] scales.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-02 09:45:40 UTC</tt>.<br>
== Scala file ==
: The original revision id was <tt>206457164</tt>.<br>
<pre>
: The revision comment was: <tt></tt><br>
! bicycle.scl
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">! bicycle.scl
!
!
13-limit harmonic bicycle, George Secor, 1963
13-limit harmonic bicycle, George Secor, 1963
12
! Transposition of Wilson's Helix Song, see David Rosenthal, Helix Song, XH 7&8, 1979
12
!
!
13/12
13/12
9/8
9/8
7/6
7/6
5/4
5/4
4/3
4/3
11/8
11/8
3/2
3/2
13/8
13/8
5/3
5/3
7/4
7/4
11/6
11/6
2/1
2/1</pre>
</pre></div>
 
<h4>Original HTML content:</h4>
== Theory ==
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;bicycle&lt;/title&gt;&lt;/head&gt;&lt;body&gt;! bicycle.scl&lt;br /&gt;
 
!&lt;br /&gt;
Bicycle has a very elegant structure consisting of two 2:3:5:7:9:11:13 [[Otonality and utonality|otonalities]], one [[rooted]] and one offset by 4/3, [[octave reduced]]. It has the [[constant structure]] property. It is an [[interleaved scale]].
13-limit harmonic bicycle, George Secor, 1963&lt;br /&gt;
 
12&lt;br /&gt;
=== Chords ===
!&lt;br /&gt;
 
13/12&lt;br /&gt;
==== Triads ====
9/8&lt;br /&gt;
There are a wide variety of thirds available on [[root]]s 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.
7/6&lt;br /&gt;
 
5/4&lt;br /&gt;
==== Tetrads ====
4/3&lt;br /&gt;
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:
11/8&lt;br /&gt;
 
3/2&lt;br /&gt;
1/1-5/4-3/2-15/8 (on F)
13/8&lt;br /&gt;
 
5/3&lt;br /&gt;
1/1-6/5-3/2-9/5 (on A)
7/4&lt;br /&gt;
 
11/6&lt;br /&gt;
1/1-7/6-3/2-7/4 (on C)
2/1&lt;/body&gt;&lt;/html&gt;</pre></div>
 
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) ===
{| class="wikitable"
! 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 [[timbre]]s.
 
Bicycle is a subset of [[24afdo]].
 
== Music ==
; [[User:CellularAutomaton|CellularAutomaton]]
* [https://cellularautomaton.bandcamp.com/track/animalcules ''animalcules''] (2023)
 
; [[Francium]]
* [https://www.youtube.com/watch?v=ratGb2qTStQ ''Bicycle Wheels''] (2023)
 
; [[maily]]
* [https://www.youtube.com/watch?v=VBH6_971Ehg ''every day is bicycle day''] (2024)
 
; [[Xotla]]
* ''Perfect Dystopia'' from ''Microtones & Garden Gnomes'' album (2017) [https://xotla.bandcamp.com/track/perfect-dystopia-mixed-intonation Bandcamp] | [https://youtu.be/x_5YqboXfAA?si=3WT9lQmnoyp0QNxZ YouTube] – in part, the other part being in [[22edo]]
 
== See also ==
* [[Gallery of 12-tone just intonation scales]]
 
[[Category:12-tone scales]]
[[Category:Just intonation scales]]
[[Category:Pages with mostly numerical content]]
[[Category:13-limit]]
[[Category:Bicycle]]
[[Category:Neo-gothic]]
[[Category:Primodality]]
[[Category:Pages with Scala files]]
Retrieved from "https://en.xen.wiki/w/Bicycle"