2L 3s (3/2-equivalent) - Revision history

ArrowHead294 at 14:25, 5 May 2025

2025-05-05T14:25:57Z

← Older revision		Revision as of 14:25, 5 May 2025
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	== Scale characteristics ==		== Scale characteristics ==
	{{MOS ~~data~~}}
			=== Intervals ===
			{{MOS intervals}}

			=== Generator chain ===
			{{MOS genchain}}

			=== Modes ===
			{{MOS mode degrees}}

	== Theory ==		== Theory ==

ArrowHead294 at 00:35, 8 March 2025

2025-03-08T00:35:50Z

← Older revision		Revision as of 00:35, 8 March 2025
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	The name ''saturnian'' was coined by [[User:CompactStar\|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].		The name ''saturnian'' was coined by [[User:CompactStar\|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].

	This scale contains 2 diminished triads represented by stacks of the minor third generator. [[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time. 2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales\|microdiatonic scale]] {{mos scalesig\|5L 2s<3/1>\|link=1}}, and the sister of {{mos scalesig\|3L 2s<3/1>\|link=1}} (uranian) which is generated by a subminor third rather than a minor third.		This scale contains 2 diminished triads represented by stacks of the minor third generator. [[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time. 2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales\|microdiatonic scale]] ({{mos scalesig\|5L 2s<3/1>\|link=1}}), and the sister of {{mos scalesig\|3L 2s<3/1>\|link=1}} (uranian) which is generated by a subminor third rather than a minor third.

	== Scale characteristics ==		== Scale characteristics ==

ArrowHead294: Replace {{scale link}} with {{mos scalesig}}

2025-03-08T00:35:35Z

Replace {{scale link}} with {{mos scalesig}}

← Older revision		Revision as of 00:35, 8 March 2025
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	The name ''saturnian'' was coined by [[User:CompactStar\|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].		The name ''saturnian'' was coined by [[User:CompactStar\|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].

	This scale contains 2 diminished triads represented by stacks of the minor third generator. [[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time. 2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales\|microdiatonic scale]] {{sl\|5L~~ ~~2s\|3/~~2}}{{angbr~~\|~~3/2~~}}, and the sister of {{sl\|3L~~ ~~2s\|3/~~2}}{{angbr~~\|~~3/2~~}} (uranian) which is generated by a subminor third rather than a minor third.		This scale contains 2 diminished triads represented by stacks of the minor third generator. [[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time. 2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales\|microdiatonic scale]] {{mos scalesig\|5L 2s<3/1>\|link=1}}, and the sister of {{mos scalesig\|3L 2s<3/1>\|link=1}} (uranian) which is generated by a subminor third rather than a minor third.

	== Scale characteristics ==		== Scale characteristics ==

ArrowHead294 at 18:16, 3 March 2025

2025-03-03T18:16:19Z

← Older revision		Revision as of 18:16, 3 March 2025
Line 3:		Line 3:
	The name ''saturnian'' was coined by [[User:CompactStar\|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].		The name ''saturnian'' was coined by [[User:CompactStar\|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].

	This scale contains 2 diminished triads represented by stacks of the minor third generator. [[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time. 2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales\|microdiatonic scale]]~~, [[~~5L 2s (3/2~~-equivalent)~~\|~~5L 2s⟨3~~/~~2⟩]]~~, and the sister of [[3L 2s (3/2~~-equivalent)~~\|~~3L 2s⟨3~~/~~2⟩]]~~ (uranian) which is generated by a subminor third rather than a minor third.		This scale contains 2 diminished triads represented by stacks of the minor third generator. [[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time. 2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales\|microdiatonic scale]] {{sl\|5L 2s\|3/2}}{{angbr\|3/2}}, and the sister of {{sl\|3L 2s\|3/2}}{{angbr\|3/2}} (uranian) which is generated by a subminor third rather than a minor third.

	== Scale characteristics ==		== Scale characteristics ==
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	== Modes ==		== Modes ==
	The mode names were coined by [[User:CompactStar\|CompactStar]], based on the 6 largest satellites of Saturn, excluding Titan since the "Titanian" name has been used for the [[3L 2s (3/2-equivalent)\|uranian scale]].		The mode names were coined by [[User:CompactStar\|CompactStar]], based on the 6 largest satellites of Saturn, excluding Titan since the "Titanian" name has been used for the [[3L 2s (3/2-equivalent)\|uranian scale]].
	{{MOS modes\|Mode Names=Rhean; Iapetian; Dionian; Tethyian; Enceladean}}		{{MOS modes\|Mode Names=Rhean$ Iapetian$ Dionian$ Tethyian$ Enceladean$}}

	== Scale tree ==		== Scale tree ==
	{{~~Scale tree~~\|~~Comments=~~11/7: [[CTE tuning]] for Sirius B temperament (293.~~825¢~~); 8/5: Just 32/27 (294.~~135¢~~)}}		{{MOS tuning spectrum
			\| 11/7 = [[CTE tuning]] for Sirius B temperament (293.825{{c}})
			\| 8/5 = Just 32/27 (294.135{{c}})
			}}

	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:5-tone scales]]		[[Category:5-tone scales]]

Ganaram inukshuk: Swap templates

2024-09-07T21:13:42Z

Swap templates

@@ Line 5: / Line 5: @@
 This scale contains 2 diminished triads represented by stacks of the minor third generator. [[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time.  2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales|microdiatonic scale]], [[5L 2s (3/2-equivalent)|5L 2s⟨3/2⟩]], and the sister of [[3L 2s (3/2-equivalent)|3L 2s⟨3/2⟩]] (uranian) which is generated by a subminor third rather than a minor third.
-== Notation ==
+== Scale characteristics ==
-The main way of notating the saturnian scale is using a 3/2-repeating notation consisting of 5 naturals. The notation used in this article is the [[diamond MOS notation]].
+{{MOS data}}
 == Theory ==
 === Temperament interpretations ===

Ganaram inukshuk: a space

2024-02-26T20:29:07Z

a space

← Older revision		Revision as of 20:29, 26 February 2024
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	{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro\|Other Names=saturnian}}		{{MOS intro\|Other Names=saturnian}}

	The name ''saturnian'' was coined by [[User:CompactStar\|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].		The name ''saturnian'' was coined by [[User:CompactStar\|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].

CompactStar: /* Temperament interpretations */

2024-02-08T04:46:42Z

Temperament interpretations

← Older revision		Revision as of 04:46, 8 February 2024
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	== Theory ==		== Theory ==
	=== Temperament interpretations ===		=== Temperament interpretations ===
	From a [[half-prime subgroup]] point of view, 2L 3s⟨3/2⟩ can be interpreted as the [[Sirius B]] [[temperament]], where the generator is represented by the minor third ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the generator is represented by [[32/27]]~[[6/5]] (in the [[CTE tuning]], it is exactly 32/27). Both temperaments have very similar generators.		From a [[half-prime subgroup]] point of view, 2L 3s⟨3/2⟩ can be interpreted as the [[Sirius B]] [[temperament]] in the 3/2.5/2.7/2 [[subgroup]], where the generator is represented by the minor third ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the generator is represented by [[32/27]]~[[6/5]] (in the [[CTE tuning]], it is exactly 32/27). Both temperaments have very similar generators.

	== Modes ==		== Modes ==

CompactStar: /* Temperament interpretation s */

2024-02-08T04:46:21Z

Temperament interpretation s

← Older revision		Revision as of 04:46, 8 February 2024
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	\|}		\|}
	== Theory ==		== Theory ==
	=== Temperament ~~interpretation s~~===		=== Temperament interpretations ===
	From a [[half-prime subgroup]] point of view, 2L 3s⟨3/2⟩ can be interpreted as the [[Sirius B]] [[temperament]], where the generator is represented by the minor third ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the generator is represented by [[32/27]]~[[6/5]] (in the [[CTE tuning]], it is exactly 32/27). Both temperaments have very similar generators.		From a [[half-prime subgroup]] point of view, 2L 3s⟨3/2⟩ can be interpreted as the [[Sirius B]] [[temperament]], where the generator is represented by the minor third ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the generator is represented by [[32/27]]~[[6/5]] (in the [[CTE tuning]], it is exactly 32/27). Both temperaments have very similar generators.

CompactStar: /* = Temperament interpretations */

2024-02-08T04:46:15Z

= Temperament interpretations

← Older revision		Revision as of 04:46, 8 February 2024
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	\|}		\|}
	== Theory ==		== Theory ==
	=== Temperament ~~interpretations~~==		=== Temperament interpretation s===
	From a [[half-prime subgroup]] point of view, 2L ~~3s&lang;3~~/~~2&rang;~~ can be interpreted as the [[Sirius B]] [[temperament]], where the generator is represented by the minor third ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the generator is represented by [[32/27]]~[[6/5]] (in the [[CTE tuning]], it is exactly 32/27). Both temperaments have very similar generators.		From a [[half-prime subgroup]] point of view, 2L 3s⟨3/2⟩ can be interpreted as the [[Sirius B]] [[temperament]], where the generator is represented by the minor third ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the generator is represented by [[32/27]]~[[6/5]] (in the [[CTE tuning]], it is exactly 32/27). Both temperaments have very similar generators.


	== Modes ==		== Modes ==

CompactStar at 04:45, 8 February 2024

2024-02-08T04:45:22Z

← Older revision		Revision as of 04:45, 8 February 2024
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	{{MOS intro\|Other Names=saturnian}}		{{MOS intro\|Other Names=saturnian}}

	The name saturnian was coined by [[User:CompactStar\|CompactStar]], referring to the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].		The name ''saturnian'' was coined by [[User:CompactStar\|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)\|uranian]].

	This scale contains 2 diminished triads represented by stacks of the minor third generator.[[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time. 2L ~~3s&lang;3~~/~~2&rang;~~ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales\|microdiatonic scale]], [[5L 2s (3/2-equivalent)\|5L 2s⟨3/2⟩]], and the sister of [[3L 2s (3/2-equivalent)\|3L 2s⟨3/2⟩]] (uranian) which is generated by a subminor third rather than a minor third.		This scale contains 2 diminished triads represented by stacks of the minor third generator. [[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time. 2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales\|microdiatonic scale]], [[5L 2s (3/2-equivalent)\|5L 2s⟨3/2⟩]], and the sister of [[3L 2s (3/2-equivalent)\|3L 2s⟨3/2⟩]] (uranian) which is generated by a subminor third rather than a minor third.

	== Notation ==		== Notation ==
Line 36:		Line 36:
	== Theory ==		== Theory ==
	=== Temperament interpretations==		=== Temperament interpretations==
	From a [[half-prime subgroup]] point of view, 2L 3s&lang;3/2&rang; can be interpreted as the [[Sirius B]] temperament, where the ~~minor third~~ generator is represented by ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the ~~minor third~~ generator is represented by [[32/27]]~[[6/5]] (in the CTE tuning, it is exactly 32/27). Both temperaments have very similar generators.		From a [[half-prime subgroup]] point of view, 2L 3s&lang;3/2&rang; can be interpreted as the [[Sirius B]] [[temperament]], where the generator is represented by the minor third ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the generator is represented by [[32/27]]~[[6/5]] (in the [[CTE tuning]], it is exactly 32/27). Both temperaments have very similar generators.


	== Modes ==		== Modes ==
	The mode names ~~are~~ based on the 6 largest satellites of Saturn, excluding Titan since the "Titanian" name has been used for the [[3L 2s (3/2-equivalent)\|uranian scale]].		The mode names were coined by [[User:CompactStar\|CompactStar]], based on the 6 largest satellites of Saturn, excluding Titan since the "Titanian" name has been used for the [[3L 2s (3/2-equivalent)\|uranian scale]].
	{{MOS modes\|Mode Names=Rhean; Iapetian; Dionian; Tethyian; Enceladean}}		{{MOS modes\|Mode Names=Rhean; Iapetian; Dionian; Tethyian; Enceladean}}

	== Scale tree ==		== Scale tree ==
	{{Scale tree\|Comments=11/7: [[CTE tuning]] for Sirius B temperament (293.825¢); 8/5: ~~Pythagorean minor third~~ (294.135¢); }}		{{Scale tree\|Comments=11/7: [[CTE tuning]] for Sirius B temperament (293.825¢); 8/5: Just 32/27 (294.135¢)}}

	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:5-tone scales]]		[[Category:5-tone scales]]