1L 3s (3/2-equivalent) - Revision history

ArrowHead294 at 14:21, 5 May 2025

2025-05-05T14:21:19Z

← Older revision		Revision as of 14:21, 5 May 2025
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	== Scale properties ==		== Scale properties ==
	{{TAMNAMS use}}		{{TAMNAMS use}}
	{{MOS ~~data~~}}
			=== Intervals ===
			{{MOS intervals}}

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

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

	=== Mode names ===		=== Mode names ===

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

2025-03-08T00:34:19Z

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

← Older revision		Revision as of 00:34, 8 March 2025
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	\| Pattern = LLsLs		\| Pattern = LLsLs
	}}		}}
	{{MOS intro}} The name "neptunian" was given by [[User:CompactStar\|CompactStar]] in analogy to "uranian" name for {{sl\|3L 2s\|3/2}}.		{{MOS intro}} The name "neptunian" was given by [[User:CompactStar\|CompactStar]] in analogy to "uranian" name for {{mos scalesig\|3L 2s<3/1>\|link=1}}.

	== Notation ==		== Notation ==
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	Supporting ETs: 5, 6, 7[+5/2, +7/2], 9[-5/2, --7/2], 11, 16, 17[+5/2], 23[+5/2, +7/2], 21[-7/2], 27, 28[+5/2], 38, 43[-7/2], 49		Supporting ETs: 5, 6, 7[+5/2, +7/2], 9[-5/2, --7/2], 11, 16, 17[+5/2], 23[+5/2, +7/2], 21[-7/2], 27, 28[+5/2], 38, 43[-7/2], 49

	<nowiki>*~~</nowiki> wart~~ for 3/2		<nowiki />* Wart for 3/2

ArrowHead294 at 17:00, 3 March 2025

2025-03-03T17:00:35Z

← Older revision		Revision as of 17:00, 3 March 2025
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	\| Pattern = LLsLs		\| Pattern = LLsLs
	}}		}}
	~~'''1L 3s<3/2>''' (or '''neptunian'''), is a fifth-repeating~~ MOS ~~scale with 1 large step and 3 small steps.~~ The name "neptunian" was given by [[User:CompactStar\|CompactStar]] in analogy to "uranian" name for [[3L 2s ~~(fifth-equivalent)~~\|~~3L 2s<~~3/2~~>]]~~.		{{MOS intro}} The name "neptunian" was given by [[User:CompactStar\|CompactStar]] in analogy to "uranian" name for {{sl\|3L 2s\|3/2}}.

	== Notation ==		== Notation ==
	Due to being a tetratonic scale, neptunian interval classes often line up with diatonic interval classes (at least for L/s ~~<u><</u>~~ 2/1) so similar note names can be used. Although, one difference is that the "perfect fourth" can go up to a subfifth in the most extreme case.		Due to being a tetratonic scale, neptunian interval classes often line up with diatonic interval classes (at least for {{nowrap\|L/s ≤ 2/1}}) so similar note names can be used. Although, one difference is that the "perfect fourth" can go up to a subfifth in the most extreme case.

	== ~~Modes~~ ==		== Scale properties ==
	* 3\|0 Lsss "tritonian"		{{TAMNAMS use}}
	* 2\|1 sLss "protean"		{{MOS data}}
	* 1\|2 ssLs "nereidian"
	* 0\|3 sssL "larissan"

	== ~~Intervals~~ ==		=== Mode names ===
	{{MOS ~~intervals~~}}		{{MOS modes
			\| Mode Names=
			Tritonian $
			Protean $
			Nereidian $
			Larissan $
			}}

	== Scale tree ==		== Scale tree ==
	{{~~Scale tree~~\|~~Comments=~~3/2:Poseidon and Auk are around here;5/2:Halftone (incomplete)}}		{{MOS tuning spectrum
			\| 3/2 = Poseidon and Auk are around here
			\| 5/2 = Halftone (incomplete)
			}}

	== Temperaments ==		== Temperaments ==
	=== Poseidon ===		=== Poseidon ===
	This temperament equates 2 [[11/8]] with [[5/4]]. It contains an 8:10:11 triad, which sounds quite similar to a major triad although with increased tension. [[9edf]] (and thus [[Carlos Alpha]]) is a good tuning for this temperament with its accurate 5/4 and 11/8.		This temperament equates two [[11/8]]<nowiki />s with [[5/4]]. It contains an 8:10:11 triad, which sounds quite similar to a major triad although with increased tension. [[9edf]] (and thus [[Carlos Alpha]]) is a good tuning for this temperament with its accurate 5/4 and 11/8.

	[[Subgroup]]: 3/2.5/4.11/8		[[Subgroup]]: 3/2.5/4.11/8

BudjarnLambeth: == Intervals == {{MOS intervals}}

2024-12-15T08:23:16Z

== Intervals == {{MOS intervals}}

← Older revision		Revision as of 08:23, 15 December 2024
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	== Notation ==		== Notation ==
	Due to being a tetratonic scale, neptunian interval classes often line up with diatonic interval classes (at least for L/s <u><</u> 2/1) so similar note names can be used. Although, one difference is that the "perfect fourth" can go up to a subfifth in the most extreme case.		Due to being a tetratonic scale, neptunian interval classes often line up with diatonic interval classes (at least for L/s <u><</u> 2/1) so similar note names can be used. Although, one difference is that the "perfect fourth" can go up to a subfifth in the most extreme case.

	== Modes ==		== Modes ==
	* 3\|0 Lsss "tritonian"		* 3\|0 Lsss "tritonian"
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	* 1\|2 ssLs "nereidian"		* 1\|2 ssLs "nereidian"
	* 0\|3 sssL "larissan"		* 0\|3 sssL "larissan"

			== Intervals ==
			{{MOS intervals}}

	== Scale tree ==		== Scale tree ==
	{{Scale tree\|Comments=3/2:Poseidon and Auk are around here;5/2:Halftone (incomplete)}}		{{Scale tree\|Comments=3/2:Poseidon and Auk are around here;5/2:Halftone (incomplete)}}

	== Temperaments ==		== Temperaments ==
	=== Poseidon ===		=== Poseidon ===

CompactStar at 09:12, 11 June 2023

2023-06-11T09:12:12Z

← Older revision		Revision as of 09:12, 11 June 2023
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	== Scale tree ==		== Scale tree ==
	{{Scale tree\|Comments=3/2:Poseidon and Auk are around here~~;2/1:Basic neptunian~~;5/2:Halftone (incomplete)}}		{{Scale tree\|Comments=3/2:Poseidon and Auk are around here;5/2:Halftone (incomplete)}}
	== Temperaments ==		== Temperaments ==
	=== Poseidon ===		=== Poseidon ===

CompactStar at 09:12, 11 June 2023

2023-06-11T09:12:06Z

← Older revision		Revision as of 09:12, 11 June 2023
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	== Scale tree ==		== Scale tree ==
	{{Scale tree\|Comments=3/2:Poseidon and Auk are around here;2/1:Basic neptunian}}		{{Scale tree\|Comments=3/2:Poseidon and Auk are around here;2/1:Basic neptunian;5/2:Halftone (incomplete)}}
	== Temperaments ==		== Temperaments ==
	=== Poseidon ===		=== Poseidon ===

CompactStar at 09:11, 11 June 2023

2023-06-11T09:11:11Z

← Older revision		Revision as of 09:11, 11 June 2023
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	[[Support]]ing [[ET]]s: 5, 9, 13, 14, 6[+13], 17[-7, -13], 7[-7, -13], 22[-7], 19[+13], 23[+13], 11[+13], 21[-7, -13], 31[-7], 25[-7, -13]		[[Support]]ing [[ET]]s: 5, 9, 13, 14, 6[+13], 17[-7, -13], 7[-7, -13], 22[-7], 19[+13], 23[+13], 11[+13], 21[-7, -13], 31[-7], 25[-7, -13]

			=== Halftone ===
			''Main article: [[Halftone]]''

			[[Subgroup]]: 3/2.5/2.7/2

			[[Comma list]]: 9604/9375

			{{Mapping\|legend=2\| 1 3 4 \| 0 -4 -5 }}

			: sval mapping generators: ~3/2, ~15/14

			[[Optimal tuning]] (subgroup [[CTE]]): ~3/2 = 1\1edf, ~15/14 = 128.783

			Supporting ETs: 5, 6, 7[+5/2, +7/2], 9[-5/2, --7/2], 11, 16, 17[+5/2], 23[+5/2, +7/2], 21[-7/2], 27, 28[+5/2], 38, 43[-7/2], 49

			<nowiki>*</nowiki> wart for 3/2

CompactStar at 09:10, 11 June 2023

2023-06-11T09:10:44Z

← Older revision		Revision as of 09:10, 11 June 2023
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	== Notation ==		== Notation ==
	Due to being a tetratonic scale, neptunian interval classes often line up with diatonic interval classes (at least for L/s <u><</u> 2/1) so similar note names can be used. Although, one difference is that ~~there are two types of fourth, a "minor fourth~~" ~~which ranges from a supermajor third to a~~ perfect ~~fourth, and a "major~~ fourth" ~~which ranges from a perfect fourth~~ to a ~~tritone (or~~ subfifth in ~~extremely improper scales)~~.		Due to being a tetratonic scale, neptunian interval classes often line up with diatonic interval classes (at least for L/s <u><</u> 2/1) so similar note names can be used. Although, one difference is that the "perfect fourth" can go up to a subfifth in the most extreme case.
	== Modes ==		== Modes ==
	* 3\|0 Lsss "tritonian"		* 3\|0 Lsss "tritonian"

CompactStar at 07:01, 29 May 2023

2023-05-29T07:01:54Z

@@ Line 18: / Line 18: @@
 == Scale tree ==
-{| class="wikitable"
+{{Scale tree|Comments=3/2:Poseidon and Auk are around here;2/1:Basic neptunian}}
 == Temperaments ==
 === Poseidon ===

CompactStar at 07:48, 11 May 2023

2023-05-11T07:48:29Z

← Older revision		Revision as of 07:48, 11 May 2023
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	=== Auk ===		=== Auk ===
			''Main article: [[Auk]]''

	[[Subgroup]]: 3/2.7.13		[[Subgroup]]: 3/2.7.13