Bicycle - Revision history

Yourmusic Productions: Add circle diagram.

2026-06-04T15:32:25Z

Add circle diagram.

← Older revision		Revision as of 15:32, 4 June 2026
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			[[File:Bicycle-12.png\|thumb\|Circle diagram.]]
	'''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.		'''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.

Lériendil: Text replacement - "Category:Just intonation scales" to "Category:Just intonation scales Category:Pages with mostly numerical content"

2025-06-24T00:24:41Z

Text replacement - "Category:Just intonation scales" to "Category:Just intonation scales Category:Pages with mostly numerical content"

← Older revision		Revision as of 00:24, 24 June 2025
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	[[Category:12-tone scales]]		[[Category:12-tone scales]]
	[[Category:Just intonation scales]]		[[Category:Just intonation scales]]
			[[Category:Pages with mostly numerical content]]
	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:Bicycle]]		[[Category:Bicycle]]

BudjarnLambeth: /* Music */

2025-01-11T22:19:36Z

Music

← Older revision		Revision as of 22:19, 11 January 2025
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	; [[Xotla]]		; [[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] – in part, the other part being in [[22edo]]		* ''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 ==		== See also ==

BudjarnLambeth: Add links, add see also

2025-01-11T22:18:41Z

Add links, add see also

← Older revision		Revision as of 22:18, 11 January 2025
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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.		'''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 ==		== Scala file ==
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	== Theory ==		== 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. It is an [[interleaved scale]].		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 ===		=== Chords ===

	==== Triads ====		==== 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 ====		==== 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)		1/1-5/4-3/2-15/8 (on F)
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	=== Primodality ===		=== 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]].		Bicycle is a subset of [[24afdo]].
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	; [[Xotla]]		; [[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] – in part, the other part being in [[22edo]]		* "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] – in part, the other part being in [[22edo]]

			== See also ==
			* [[Gallery of 12-tone just intonation scales]]

	[[Category:12-tone scales]]		[[Category:12-tone scales]]

BudjarnLambeth: /* Primodality */ mention 24afdo

2025-01-11T22:14:03Z

Primodality: mention 24afdo

← Older revision		Revision as of 22:14, 11 January 2025
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	=== Primodality ===		=== 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 timbres.

			Bicycle is a subset of [[24afdo]].

	== Music ==		== Music ==

BudjarnLambeth: Give Scala file its own subheading

2025-01-11T22:12:53Z

Give Scala file its own subheading

← Older revision		Revision as of 22:12, 11 January 2025
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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.		'''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>		<pre>
	! bicycle.scl		! bicycle.scl

BudjarnLambeth: Merge related scales into synopsis since it was already half merged anyway

2025-01-11T22:12:20Z

Merge related scales into synopsis since it was already half merged anyway

← Older revision		Revision as of 22:12, 11 January 2025
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	'''Bicycle''' is a 12-tone [[just intonation]] [[scale]]. [[Scott Dakota]] also refers to this scale as '''Almond'''. It inspired the [[car]] ~~scale~~.		'''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.

	<pre>		<pre>
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	; [[Xotla]]		; [[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] – in part, the other part being in [[22edo]]		* "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] – in part, the other part being in [[22edo]]

	~~== Related scales ==~~
	* [[Beach cruiser]]
	* [[Bus]]
	* [[Car]]

	[[Category:12-tone scales]]		[[Category:12-tone scales]]

BudjarnLambeth: Add category

2025-01-11T22:08:06Z

Add category

← Older revision		Revision as of 22:08, 11 January 2025
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	[[Category:12-tone scales]]		[[Category:12-tone scales]]
			[[Category:Just intonation scales]]
	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:~~Just intonation scales]]~~		[[Category:Bicycle]]
	~~[[Category:Pages with Scala files~~]]
	[[Category:Neo-gothic]]		[[Category:Neo-gothic]]
	[[Category:Primodality]]		[[Category:Primodality]]
			[[Category:Pages with Scala files]]

BudjarnLambeth: /* Related scales */ add item

2025-01-11T22:02:32Z

Related scales: add item

← Older revision		Revision as of 22:02, 11 January 2025
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	== Related scales ==		== Related scales ==
			* [[Beach cruiser]]
	* [[Bus]]		* [[Bus]]
	* [[Car]]		* [[Car]]

Xenji: I am Andrew Heathwaite. Many years ago, I gave this scale the name Rodan without realizing it already had a name. It doesn't seem necessary to mention my old name, since no one uses it and it's the same as the name of an existing temperament anyway, so it would only cause confusion.

2025-01-06T01:14:17Z

I am Andrew Heathwaite. Many years ago, I gave this scale the name Rodan without realizing it already had a name. It doesn't seem necessary to mention my old name, since no one uses it and it's the same as the name of an existing temperament anyway, so it would only cause confusion.

← Older revision		Revision as of 01:14, 6 January 2025
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	13-limit harmonic bicycle, George Secor, 1963		13-limit harmonic bicycle, George Secor, 1963
	! Transposition of Wilson's Helix Song, see David Rosenthal, Helix Song, XH 7&8, 1979		! Transposition of Wilson's Helix Song, see David Rosenthal, Helix Song, XH 7&8, 1979
	~~! Also Andrew Heathwaite's Rodan scale~~
	12		12
	!		!