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 5s pattern, see [[4L 5s (3/1-equivalent)]].''

{{Infobox MOS

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== Tuning ranges ==

=== Parasoft ===

Parasoft tunings of 4L 5s have a step ratio between 4/3 and 3/2, implying a generator sharper than {{nowrap|7\31 {{=}} 270.97¢}} and flatter than {{nowrap|5\22 {{=}} 272.73¢}}.

~~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 5s EDOs include [[22edo]], [[31edo]], [[53edo]], and [[84edo]].

Parasoft 4L 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]].

* [[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.

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

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| [[12/11]], [[11/10]]

|-

| s (octave - 4g)

| s (octave − 4g)

| 2\22, 109.09

| 3\31, 116.13

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|}

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.

== Scale tree ==

@@ Line 1: / Line 1: @@
-: ''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
@@ Line 32: / Line 32: @@
 == 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¢}} and flatter than {{nowrap|5\22 {{=}} 272.73¢}}.
-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]].
-Parasoft 4L 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]].
 * [[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.
+The sizes of the generator, large step and small step of 4L&nbsp;5s are as follows in various parasoft 4L&nbsp;5s tunings.
 {| class="wikitable right-2 right-3 right-4 right-5 right-6 right-7"
 |-
@@ Line 59: / Line 57: @@
 | [[7/6]]
 |-
-| L (5g - octave)
+| L (5g − octave)
 | 3\22, 163.64
 | 4\31, 154.84
@@ Line 66: / Line 64: @@
 | [[12/11]], [[11/10]]
 |-
-| s (octave - 4g)
+| s (octave − 4g)
 | 2\22, 109.09
 | 3\31, 116.13
@@ Line 74: / Line 72: @@
 |}
-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 &rarr; 11/8|3g &rarr; 8/5|7g &rarr; 3/2}}) is called 11-limit [[orwell]] temperament in regular temperament theory.
 == Scale tree ==