4L 5s: Difference between revisions

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-: ''For the tritave-equivalent 4L 5s pattern, see [[4L 5s (3/1-equivalent)]].''
+: ''For the tritave-equivalent 4L&nbsp;5s pattern, see [[4L&nbsp;5s (3/1-equivalent)]].''
 {{Infobox MOS
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 === Intervals ===
 {{MOS intervals}}
+=== Generator chain ===
+{{MOS genchain}}
 === Modes ===
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 ==== Proposed names ====
-[https://twitter.com/Lilly__Flores/status/1640779893108805632 Lilly Flores] proposed using the Greek name relating to water as mode names. The names are in reference to the scale's former name ''orwelloid'' because the word Orwell comes from 'a spring situated near a promontory'.
+[http://twitter.com/Lilly__Flores/status/1640779893108805632 Lilly Flores] proposed using the Greek name relating to water as mode names. The names are in reference to the scale's former name ''orwelloid'' because the word Orwell comes from 'a spring situated near a promontory'.
-{{MOS modes|Scale Signature=4L 5s|Mode Names=Roi; Steno; Limni; Telma; Krini; Elos; Mychos; Akti; Dini}}
+{{MOS modes
+| Mode Names=
+Roi $
+Steno $
+Limni $
+Telma $
+Krini $
+Elos $
+Mychos $
+Akti $
+Dini $
+}}
 == Theory ==
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 == Tuning ranges ==
 === Parasoft ===
+Parasoft tunings of 4L&nbsp;5s have a step ratio between 4/3 and 3/2, implying a generator sharper than {{nowrap|7\31 {{=}} 270.97{{c}}}} and flatter than {{nowrap|5\22 {{=}} 272.73{{c}}}}.
-Parasoft tunings of 4L 5s have a step ratio between 4/3 and 3/2, implying a generator sharper than 7\31 = 270.97¢ and flatter than 5\22 = 272.73¢.
+Parasoft 4L&nbsp;5s edos include [[22edo]], [[31edo]], [[53edo]], and [[84edo]].
+* [[22edo]] can be used to make large and small steps more distinct (the step ratio is 3/2).
+* [[31edo]] can be used for its nearly pure [[5/4]] and having a better approximation of [[13/8]] than 22edo.
+* [[53edo]] can be used for its nearly pure [[3/2]] and [[5/4]] and having much more accurate approximations of 13-limit intervals than 22edo or 31edo.
-Parasoft 4L 5s EDOs include [[22edo]], [[31edo]], [[53edo]], and [[84edo]].
+The sizes of the generator, large step and small step of 4L&nbsp;5s are as follows in various parasoft 4L&nbsp;5s tunings.
-* [[22edo]] can be used to make large and small steps more distinct (the step ratio is 3/2).
-* [[31edo]] can be used for its nearly pure [[5/4]].
-* [[53edo]] can be used for its nearly pure [[3/2]] and good [[5/4]].
-The sizes of the generator, large step and small step of 4L 5s are as follows in various parasoft 4L 5s tunings.
 {| class="wikitable right-2 right-3 right-4 right-5 right-6 right-7"
 |-
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 | [[7/6]]
 |-
-| L (5g - octave)
+| L (5g − octave)
 | 3\22, 163.64
 | 4\31, 154.84
@@ Line 66: / Line 79: @@
 | [[12/11]], [[11/10]]
 |-
-| s (octave - 4g)
+| s (octave − 4g)
 | 2\22, 109.09
 | 3\31, 116.13
@@ Line 74: / Line 87: @@
 |}
-This set of JI interpretations (g = 7/6, 2g = 11/8, 3g = 8/5, 7g = 3/2) is called 11-limit [[orwell]] temperament in regular temperament theory.
+This set of JI interpretations ({{nowrap|g → 7/6|2g → 11/8|3g → 8/5|7g → 3/2}}) is called 11-limit [[Orwell]] temperament in regular temperament theory.
+== Scales ==
+* [[Guanyintet9]] – [[311edo|70\311]] tuning
+* [[Orwell9]] – [[84edo|19\84]] tuning
+* [[Lovecraft9]] – [[116edo|27\116]] tuning
 == Scale tree ==
-{{Scale tree|Comments=6/5: Lower range of [[orwell]];
+{{MOS tuning spectrum
-/3: Upper range of orwell;
+| 6/5 = Lower range of [[Orwell]]
-/8: Unnamed golden tuning;
+| 5/3 = Upper range of Orwell
-/5: [[Lovecraft]];
+| 13/8 = Unnamed golden tuning
-/5: Golden lovecraft}}
+| 12/5 = [[Lovecraft]]
+| 13/5 = Golden lovecraft
+| 6/1 = [[Gariberttet]]/[[Quasitemp]]/[[Kleiboh]]&nbsp;↓
+}}
 [[Category:Gramitonic]] <!-- main article -->