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1L 3s (3/2-equivalent): Difference between revisions

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Created page with "{{Infobox MOS | Equave = 3/2 | nLargeSteps = 1 | nSmallSteps = 3 | Equalized = 3 | Collapsed = 1 | Pattern = LLsLs }} '''1L 3s<3/2>''' (or '''neptunian'''), is a fifth-repeati..."
 
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'''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 {{mos scalesig|3L 2s<3/1>|link=1}}.


== Modes ==
== Notation ==
* 3|0 Lsss "tritonian"
Due to being a tetratonic scale, neptunian interval classes often line up with diatonic interval classes (at least for {{nowrap|L/s &le; 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.
* 2|1 sLss "protean"
 
* 1|2 ssLs "nereidean"
== Scale properties ==
* 0|3 sssL "larissan"
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
=== Mode names ===
{{MOS modes
| Mode Names=
Tritonian $
Protean $
Nereidian $
Larissan $
}}
 
== Scale tree ==
{{MOS tuning spectrum
| 3/2 = Poseidon and Auk are around here
| 5/2 = Halftone (incomplete)
}}
 
== Temperaments ==
=== Poseidon ===
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
 
[[Comma list]]: 121/120
 
[[Gencom]]: [3/2 12/11; 121/120]
 
[[POTE generator]]: ~[[12/11]] = 158.29
 
[[Mapping]]: [{{val|1 1 1}}, {{val|0 2 -1}}]
 
[[Support]]ing [[EDF]]s: 9, 5, 13, 22, 14, 31, 17, 6[+5/4], 23, 40, 35, 21[-5/4], 19[+5/4], 49
 
=== Auk ===
''Main article: [[Auk]]''
 
[[Subgroup]]: 3/2.7.13
 
[[Comma list]]: 87808/85293
 
[[CTE tuning|CTE generator]]: ~28/9 = 1950.859
 
[[Mapping]]: [{{val|1 2 -2}}, {{val|0 1 3}}]
 
[[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 />* Wart for 3/2
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