User:BudjarnLambeth/Oclock - Revision history

BudjarnLambeth: BudjarnLambeth moved page Oclock to User:BudjarnLambeth/Oclock

2025-05-07T03:01:13Z

BudjarnLambeth moved page Oclock to User:BudjarnLambeth/Oclock

← Older revision	Revision as of 03:01, 7 May 2025
(No difference)

BudjarnLambeth: /* Subsets */

2025-01-04T12:28:56Z

Subsets

← Older revision		Revision as of 12:28, 4 January 2025
Line 68:		Line 68:
	# 696.8		# 696.8
	# 929.1		# 929.1
			# 1006.5
			# 1200.0


			Oclock otonal neutral pentatonic
			# 154.9
			# 580.7
			# 696.8
	# 1006.5		# 1006.5
	# 1200.0		# 1200.0

BudjarnLambeth: See also

2025-01-04T12:21:30Z

BudjarnLambeth at 12:10, 4 January 2025

2025-01-04T12:10:56Z

← Older revision		Revision as of 12:10, 4 January 2025
Line 1:		Line 1:
	The '''oclock scale'''{{idiosyncratic}} is a scale created by including all the intervals from the following three [[MOS scale]]s:		The '''oclock scale'''{{idiosyncratic}} is a [[:Category:9-tone scales\|9-tone scale]] created by including all the intervals from the following three [[MOS scale]]s:
	* The 3-tone MOS with [[generator]] 5\31, [[period]] 31\31, with 2 generators up and 0 generators down.		* The 3-tone MOS with [[generator]] 5\31, [[period]] 31\31, with 2 generators up and 0 generators down.
	* The 5-tone MOS with generator 11\31, period 31\31, with 0 generators up and 4 generators down.		* The 5-tone MOS with generator 11\31, period 31\31, with 0 generators up and 4 generators down.
	* The 3-tone MOS with generator 13\31, period 31\31, with 1 generator up and 3 generators down.		* The 3-tone MOS with generator 13\31, period 31\31, with 1 generator up and 3 generators down.

	It is the following subset of [[31edo]]: 5 4 1 3 5 2 3 6 2. [[Category:31edo]]		It is the following [[octave equivalence\|octave-repeating]] subset of [[31edo]]: 5 4 1 3 5 2 3 6 2. [[Category:31edo]] [[Category:9-tone scales]]

	It belongs to a collection of scales called the [[breuddwyd scale\|wijzerplaat scale]]s.{{idiosyncratic}} ~~It is [[octave equivalence\|octave-repeating]], with [[:Category:9-tone scales\|9 tones]] per octave. [[Category:9-tone scales]]~~		It belongs to a collection of scales called the [[breuddwyd scale\|wijzerplaat scale]]s.{{idiosyncratic}}

	It is full of many useful [[consonance]]s in the [[11-limit]]. It has 9 [[mode]]s.		It is full of many useful [[consonance]]s in the [[11-limit]]. It has 9 [[mode]]s.

BudjarnLambeth: /* History and construction */

2025-01-04T11:54:02Z

History and construction

← Older revision		Revision as of 11:54, 4 January 2025
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	Intending to make music based on these numbers, Lambeth created a few possible scales for that purpose, one of which was the oclock scale.		Intending to make music based on these numbers, Lambeth created a few possible scales for that purpose, one of which was the oclock scale.

	In the oclock scale, the percentage of generators up versus down for each MOS was determined by its numeral's vertical position on the disc.		In the oclock scale, the percentage of generators up versus down for each MOS was determined by its numeral's ''vertical'' position on the disc.

	The number of tones generated by each MOS was decided by the MOS's numeral (5, 11 or 13) minus the position of the numeral on the disc (1, 2, 3... 10, 11, or 12). (''The number of generators is by definition one less than the number of tones.'')		The number of tones generated by each MOS was decided by the MOS's numeral (5, 11 or 13) minus the ''clockwise'' position of the numeral on the disc (1, 2, 3... 10, 11, or 12). (''The number of generators is by definition one less than the number of tones.'')
	[[File:BreuddwydDisc.jpeg\|none\|thumb\|309x309px\|A recreation of the disc from the dream.]]		[[File:BreuddwydDisc.jpeg\|none\|thumb\|309x309px\|A recreation of the disc from the dream.]]

BudjarnLambeth: Created page with "The '''oclock scale'''{{idiosyncratic}} is a scale created by including all the intervals from the following three MOS scales: * The 3-tone MOS with generator 5\31, ..."

2025-01-04T11:48:43Z

Created page with "The '''oclock scale'''{{idiosyncratic}} is a scale created by including all the intervals from the following three MOS scales: * The 3-tone MOS with generator 5\31, ..."

New page

The '''oclock scale'''{{idiosyncratic}} is a scale created by including all the intervals from the following three [[MOS scale]]s:
* The 3-tone MOS with [[generator]] 5\31, [[period]] 31\31, with 2 generators up and 0 generators down.
* The 5-tone MOS with generator 11\31, period 31\31, with 0 generators up and 4 generators down.
* The 3-tone MOS with generator 13\31, period 31\31, with 1 generator up and 3 generators down.

It is the following subset of [[31edo]]: 5 4 1 3 5 2 3 6 2. [[Category:31edo]]

It belongs to a collection of scales called the [[breuddwyd scale|wijzerplaat scale]]s.{{idiosyncratic}} It is [[octave equivalence|octave-repeating]], with [[:Category:9-tone scales|9 tones]] per octave. [[Category:9-tone scales]]

It is full of many useful [[consonance]]s in the [[11-limit]]. It has 9 [[mode]]s.

== History and construction ==
The oclock scale was devised by [[Budjarn Lambeth]] in January 2025, after he had a dream featuring a disc inscribed with numbers - 31 in the middle, and 5, 11 and 13 around the outside.

Intending to make music based on these numbers, Lambeth created a few possible scales for that purpose, one of which was the oclock scale.

In the oclock scale, the percentage of generators up versus down for each MOS was determined by its numeral's vertical position on the disc.

The number of tones generated by each MOS was decided by the MOS's numeral (5, 11 or 13) minus the position of the numeral on the disc (1, 2, 3... 10, 11, or 12). (''The number of generators is by definition one less than the number of tones.'')
[[File:BreuddwydDisc.jpeg|none|thumb|309x309px|A recreation of the disc from the dream.]]

== Mode 1 ==
# 193.5
# 348.4
# 387.1
# 503.2
# 696.8
# 774.2
# 890.3
# 1122.6
# 1200.0

== Mode 2 ==
# 154.9
# 193.6
# 309.7
# 503.3
# 580.7
# 696.8
# 929.1
# 1006.5
# 1200.0

=== Subsets ===
Oclock hexatonic blues
# 309.7
# 503.3
# 580.7
# 696.8
# 1006.5
# 1200.0

Oclock heptatonic blues
# 309.7
# 503.3
# 580.7
# 696.8
# 929.1
# 1006.5
# 1200.0

Oclock Dorian
# 193.6
# 309.7
# 503.3
# 696.8
# 929.1
# 1006.5
# 1200.0

== Mode 3 ==
# 38.7
# 154.8
# 348.4
# 425.8
# 541.9
# 774.2
# 851.6
# 1045.1
# 1200.0

== Mode 4 ==
# 116.1
# 309.7
# 387.1
# 503.2
# 735.5
# 812.9
# 1006.4
# 1161.3
# 1200.0

== Mode 5 ==
# 193.6
# 271.0
# 387.1
# 619.4
# 696.8
# 890.3
# 1045.2
# 1083.9
# 1200.0

== Mode 6 ==
# 77.4
# 193.5
# 425.8
# 503.2
# 696.7
# 851.6
# 890.3
# 1006.4
# 1200.0

=== Subsets ===
Oclock Mixolydian
# 193.5
# 425.8
# 503.2
# 696.7
# 890.3
# 1006.4
# 1200.0

Oclock inverse harmonic
# 77.4
# 425.8
# 503.2
# 696.7
# 890.3
# 1006.4
# 1200.0

Oclock fennec
# 77.4
# 425.8
# 503.2
# 696.7
# 851.6
# 1006.4
# 1200.0

== Mode 7 ==
# 116.1
# 348.4
# 425.8
# 619.3
# 774.2
# 812.9
# 929.0
# 1122.6
# 1200.0

== Mode 8 ==
# 232.3
# 309.7
# 503.2
# 658.1
# 696.8
# 812.9
# 1006.5
# 1083.9
# 1200.0

== Mode 9 ==
# 77.4
# 270.9
# 425.8
# 464.5
# 580.6
# 774.2
# 851.6
# 967.7
# 1200.0

[[Category:Lists of scales]]

← Older revision		Revision as of 12:21, 4 January 2025
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	# 967.7		# 967.7
	# 1200.0		# 1200.0

			== See also ==
			* [[9-tone 31edo scales]]

	[[Category:Lists of scales]]		[[Category:Lists of scales]]