User:Inthar/5L3m2s - Revision history

Inthar: Inthar moved page User:Inthar/Blacknye to User:Inthar/5L3m2s

2024-04-29T18:13:17Z

Inthar moved page User:Inthar/Blacknye to User:Inthar/5L3m2s

← Older revision	Revision as of 18:13, 29 April 2024
(No difference)

Inthar: Inthar moved page Onyxwood to User:Inthar/Blacknye

2024-04-29T18:12:08Z

Inthar moved page Onyxwood to User:Inthar/Blacknye

← Older revision	Revision as of 18:12, 29 April 2024
(No difference)

Akselai at 08:33, 17 April 2024

2024-04-17T08:33:01Z

← Older revision		Revision as of 08:33, 17 April 2024
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	== Tunings ==		== Tunings ==

	Onyxwood admits some JI tunings, albeit with ~~very~~ high complexity.		Onyxwood admits some JI tunings, albeit with somewhat high complexity.

	The simplest example is in the 2.3.7 subgroup, with step sizes L = [[54/49]], m = [[256/243]] and s = [[16807/16384]], and the resulting scale ~~is generated by the intervals~~ [[21/16]] ~~and [[54/49]] (i.e. every interval in the scale is a stack consisting of these two intervals)~~. Notice that 21/16 = ~471¢ generates a 3L 2s scale.		The simplest example is in the 2.3.7 subgroup, with step sizes L = [[54/49]], m = [[256/243]] and s = [[16807/16384]], and the resulting scale yields LmLs = [[21/16]]. Notice that 21/16 = ~471¢ generates a 3L 2s scale.

	Another example is in the 2.3.5.11.13 subgroup, with step sizes L = [[12/11]], m = 550/507 and s = [[24167/24000]]. The resulting scale ~~is generated by the intervals~~ [[12/~~11]] and [[20/13~~]].		Another example is in the 2.3.5.11.13 subgroup, with step sizes L = [[12/11]], m = 550/507 and s = [[24167/24000]]. The resulting scale yields LmLs = [[13/10]].

	[[Category:GO scales]]		[[Category:GO scales]]

Akselai at 08:14, 17 April 2024

2024-04-17T08:14:34Z

← Older revision		Revision as of 08:14, 17 April 2024
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	'''Onyxwood''' is a 3-step [[generator-offset]] scale with pattern ~~LMLSLMLSLM~~ (step size composition 5L ~~3M 2S~~). It is a hybrid of oneirotonic ([[5L 3s]]) and "blackwood" ([[5L 5s]]), hence the name. It consists of two copies of oneirotonic[5] ([[3L 2s]] with a generator between 720¢ and 750¢) with offset L.		'''Onyxwood''' is a 3-step [[generator-offset]] scale with pattern LmLsLmLsLm (step size composition 5L 3m 2s). It is a hybrid of oneirotonic ([[5L 3s]]) and "blackwood" ([[5L 5s]]), hence the name. It consists of two copies of oneirotonic[5] ([[3L 2s]] with a generator between 720¢ and 750¢) with offset L.

	Onyxwood is associated with the following [[mos]]ses:		Onyxwood is associated with the following [[mos]]ses:
	* Identifying L with M yields [[8L 2s]].		* Identifying L with m yields [[8L 2s]].
	* Identifying M with S yields [[5L 5s]], commonly interpreted as [[blackwood]][10].		* Identifying m with s yields [[5L 5s]], commonly interpreted as [[blackwood]][10].
	* Letting S vanish yields [[5L 3s]] or oneirotonic.		* Letting s vanish yields [[5L 3s]] or oneirotonic.

	3:2:1 onyxwood is found in [[23edo]], and 4:2:1 onyxwood is found in [[28edo]].		3:2:1 onyxwood is found in [[23edo]], and 4:2:1 onyxwood is found in [[28edo]].

	== Properties ==		== Properties ==
	* ~~LMLS~~ must be an [[oneirotonic]] generator (between 450¢ and 480¢).		* LmLs must be an [[oneirotonic]] generator (between 450¢ and 480¢).

	== Tunings ==		== Tunings ==

			Onyxwood admits some JI tunings, albeit with very high complexity.

			The simplest example is in the 2.3.7 subgroup, with step sizes L = [[54/49]], m = [[256/243]] and s = [[16807/16384]], and the resulting scale is generated by the intervals [[21/16]] and [[54/49]] (i.e. every interval in the scale is a stack consisting of these two intervals). Notice that 21/16 = ~471¢ generates a 3L 2s scale.

			Another example is in the 2.3.5.11.13 subgroup, with step sizes L = [[12/11]], m = 550/507 and s = [[24167/24000]]. The resulting scale is generated by the intervals [[12/11]] and [[20/13]].

	[[Category:GO scales]]		[[Category:GO scales]]

Inthar: /* Properties */

2021-08-27T05:48:29Z

Properties

← Older revision		Revision as of 05:48, 27 August 2021
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	== Properties ==		== Properties ==
	* LMLS must be an [[oneirotonic]] generator (between 450¢ and 480¢). ~~This is because the chroma obtained after stacking 8 copies of LMLS is 16L + 8M + 8s - 15L - 9M - 6s = L + 2S - M > L - M > 0.~~		* LMLS must be an [[oneirotonic]] generator (between 450¢ and 480¢).

	== Tunings ==		== Tunings ==
	[[Category:GO scales]]		[[Category:GO scales]]

Inthar at 05:47, 27 August 2021

2021-08-27T05:47:22Z

← Older revision		Revision as of 05:47, 27 August 2021
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	3:2:1 onyxwood is found in [[23edo]], and 4:2:1 onyxwood is found in [[28edo]].		3:2:1 onyxwood is found in [[23edo]], and 4:2:1 onyxwood is found in [[28edo]].

			== Properties ==
			* LMLS must be an [[oneirotonic]] generator (between 450¢ and 480¢). This is because the chroma obtained after stacking 8 copies of LMLS is 16L + 8M + 8s - 15L - 9M - 6s = L + 2S - M > L - M > 0.
			== Tunings ==
	[[Category:GO scales]]		[[Category:GO scales]]

Inthar at 05:40, 27 August 2021

2021-08-27T05:40:41Z

← Older revision		Revision as of 05:40, 27 August 2021
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	'''Onyxwood''' is a 3-step [[generator-offset]] scale with pattern LMLSLMLSLM (step size composition 5L 3M 2S). It is a hybrid of oneirotonic ([[5L 3s]]) and "blackwood" ([[5L 5s]]), hence the name. It consists of two copies of oneirotonic[5] ([[3L 2s]] with a generator between 720¢ and 750¢) with ~~a separation interval of~~ L.		'''Onyxwood''' is a 3-step [[generator-offset]] scale with pattern LMLSLMLSLM (step size composition 5L 3M 2S). It is a hybrid of oneirotonic ([[5L 3s]]) and "blackwood" ([[5L 5s]]), hence the name. It consists of two copies of oneirotonic[5] ([[3L 2s]] with a generator between 720¢ and 750¢) with offset L.

	Onyxwood is associated with the following [[mos]]ses:		Onyxwood is associated with the following [[mos]]ses:

Inthar: Created page with "'''Onyxwood''' is a 3-step generator-offset scale with pattern LMLSLMLSLM (step size composition 5L 3M 2S). It is a hybrid of oneirotonic (5L 3s) and "blackwood" (5L..."

2021-08-27T05:40:22Z

Created page with "'''Onyxwood''' is a 3-step generator-offset scale with pattern LMLSLMLSLM (step size composition 5L 3M 2S). It is a hybrid of oneirotonic (5L 3s) and "blackwood" (5L..."

New page

'''Onyxwood''' is a 3-step [[generator-offset]] scale with pattern LMLSLMLSLM (step size composition 5L 3M 2S). It is a hybrid of oneirotonic ([[5L 3s]]) and "blackwood" ([[5L 5s]]), hence the name. It consists of two copies of oneirotonic[5] ([[3L 2s]] with a generator between 720¢ and 750¢) with a separation interval of L.

Onyxwood is associated with the following [[mos]]ses:
* Identifying L with M yields [[8L 2s]].
* Identifying M with S yields [[5L 5s]], commonly interpreted as [[blackwood]][10].
* Letting S vanish yields [[5L 3s]] or oneirotonic.

3:2:1 onyxwood is found in [[23edo]], and 4:2:1 onyxwood is found in [[28edo]].

[[Category:GO scales]]