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'''.

'''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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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

!

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== 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.

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 ~~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.

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:

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)

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=== 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~~.

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 ==

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* [https://cellularautomaton.bandcamp.com/track/animalcules ''animalcules''] (2023)

; [[~~User:Francium|~~Francium]]

; [[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'' (2017) [https://xotla.bandcamp.com/track/perfect-dystopia-mixed-intonation Bandcamp] | [https://youtu.be/x_5YqboXfAA?si=3WT9lQmnoyp0QNxZ YouTube]

* ''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 scales]]~~

[[Category:Bicycle]]

~~[[Category:Pages with Scala files~~]]

[[Category:Neo-gothic]]

[[Category:Primodality]]

[[Category:Pages with Scala files]]

@@ Line 1: / Line 1: @@
-'''Bicycle''' is a 12-tone [[just intonation]] [[scale]]. [[Scott Dakota]] also refers to this scale as '''Almond'''.
+'''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
@@ Line 6: / Line 7: @@
 -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
 !
@@ Line 24: / Line 24: @@
 == 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.
+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 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.
+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:
+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)
@@ Line 88: / Line 88: @@
 === 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.
+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 ==
@@ Line 94: / Line 96: @@
 * [https://cellularautomaton.bandcamp.com/track/animalcules ''animalcules''] (2023)
-; [[User:Francium|Francium]]
+; [[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'' (2017) [https://xotla.bandcamp.com/track/perfect-dystopia-mixed-intonation Bandcamp] | [https://youtu.be/x_5YqboXfAA?si=3WT9lQmnoyp0QNxZ YouTube]
+* ''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 scales]]
+[[Category:Bicycle]]
-[[Category:Pages with Scala files]]
 [[Category:Neo-gothic]]
 [[Category:Primodality]]
+[[Category:Pages with Scala files]]