2L 3s: Difference between revisions

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+{{Interwiki
+|en=2L 3s
+|es=
+|de=
+|ja=2L 3s
+}}
 {{Infobox MOS
 | Name = pentic
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 }}
-: ''For the 3/2-equivalent 2L 3s pattern, see [[2L 3s (3/2-equivalent)]].''
+: ''For the 3/2-equivalent 2L&nbsp;3s pattern, see [[2L&nbsp;3s (3/2-equivalent)]].''
-{{MOS intro}}
+{{MOS intro}} This scale is the "classic" pentatonic scale, which is perhaps the most common scale in the world.
-This scale is the "Classic" pentatonic. Perhaps the most common scale in the world.
-The [[meantone]] pentatonic scale, in which the generator approximates 4/3 but other intervals in the scale approximate 6/5 and 5/4, has by far the lowest harmonic entropy of all 5-note MOS scales, which explains the worldwide popularity of these scales and their very long history of use. It is also strictly [[Rothenberg propriety|proper]].
+The [[meantone]] pentatonic scale, in which the generator approximates 4/3 but other intervals in the scale approximate 6/5 and 5/4, has by far the lowest [[harmonic entropy]] of all 5-note MOS scales, which explains the worldwide popularity of these scales and their very long history of use. It is also strictly [[Rothenberg propriety|proper]].
 == Names ==
 The [[TAMNAMS]] system suggests the name '''pentic''', derived from an [[Wiktionary: pent #Etymology 2|informal clipping of "pentatonic"]] that is sometimes used to refer to this scale.
-== Modes ==
+== Scale properties ==
-* 4|0 LsLss
+{{TAMNAMS use}}
-* 3|1 LssLs
-* 2|2 sLsLs
+=== Intervals ===
-* 1|3 sLssL
+{{MOS intervals}}
-* 0|4 ssLsL
+=== Generator chain ===
+{{MOS genchain}}
+=== Modes ===
+{{MOS mode degrees}}
+=== Mode names ===
+There are three sets of mode names: descriptive, modal (5 of the 7 heptatonic modes), and traditional Chinese.
+{{MOS modes
+| Table Headers=
+Descriptive $
+Modal $
+Chinese $
+| Table Entries=
+Fifthless $
+Phrygian $
+Jué (角) $
+Minor $
+Aeolian $
+Yǔ (羽) $
+Thirdless Minor* $
+Dorian $
+Shāng (商) $
+Thirdless Major* $
+Mixolydian $
+Zhǐ (徵) $
+Major $
+Ionian $
+Gōng (宫) $
+}}
+<nowiki />* Thirdless Minor/Major is also known as Suspended Minor/Major
 == Scales ==
-* [[Archy5]] – 472edo tuning
+=== Scale list ===
+* [[Archy5]] – 49edo tuning
 * [[Edson5]] – 29edo tuning
 * [[Pythagorean5]] – Pythagorean tuning
 * [[Meantone5]] – 31edo tuning
-== Scale tree ==
+=== Scale tree ===
-{{Todo| expand |inline=1|comment=Add back entries from original scale tree.}}
+{{MOS tuning spectrum
-{{Scale tree}}
+| Depth = 6
+| 6/5 = Slendro (insofar as it resembles a MOS) would<br />be in this region
+| 9/7 = No-5s [[superpyth]]/dominant is around here
+| 13/9 = Pythagorean pentatonic is around here
+| 3/2 = Familiar [[12edo|12-equal]] pentatonic
+| 8/5 = Optimal meantone pentatonic is around here
+| 5/2 = Five-note subset of [[pelog]] (insofar as it<br />resembles a MOS) would be in this region
+}}
 From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.
-From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[Pelogic family|mavila]].
+From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[mavila]].
-There is also the interesting 2.3.7 temperament that tempers out [[64/63]] ([[archy]], "no-fives [[Meantone family #Dominant|dominant]]").
+There is also the 2.3.7 temperament that tempers out [[64/63]] ([[archy]], "no-fives [[Meantone family#Dominant|dominant]]").
 [[Category:Pentic]]
 [[Category:5-tone scales]]