Bicycle: Difference between revisions

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+'''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.
+== Scala file ==
 <pre>
 ! bicycle.scl
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 -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
 !
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 == Theory ==
-"The design principle: we want as many 7-note 2 3 5 7 9 11 13 complete otonalities as we can get. If we take one of those, offset it by 3/2 as a duplicate otonality, and then take the union of both otonalities, it's this 12 note constant structure scale." (Scott Dakota)
+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]].
+=== Chords ===
+==== Triads ====
+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.
+==== 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:
+/1-5/4-3/2-15/8 (on F)
+/1-6/5-3/2-9/5 (on A)
-Scott Dakota also refers to this scale as '''Almond'''.
+/1-7/6-3/2-7/4 (on C)
+/1-9/7-3/2-27/14 (on Eb)
+/1-11/9-3/2-11/6 (on G)
+/1-13/11-3/2-39/22 (on B)
+/1-14/11-3/2-21/11 (on B)
+/1-13/10-3/2-39/20 (on A)
+/1-16/13-3/2-24/13 (on Db)
+=== Pitch classes and harmonics (on C) ===
 {| class="wikitable"
-|+Pitch classes and harmonics (C scale)
 ! F
 !C
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 |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:Just intonation scale]]
+[[Category:Bicycle]]
+[[Category:Neo-gothic]]
+[[Category:Primodality]]
+[[Category:Pages with Scala files]]