4L 5s: Difference between revisions

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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

| Mode Names=

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Mychos $

Akti $

Dini$

Dini $

}}

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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 {{nowrap|7\31 {{=}} 270.97{{c}}}} and flatter than {{nowrap|5\22 {{=}} 272.73{{c}}}}.

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]].

* [[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 ~~good~~ [[5/4]].

* [[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.

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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|}

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.

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 ==

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== Scale tree ==

{{MOS tuning spectrum

| 6/5 = Lower range of [[~~orwell~~]]

| 6/5 = Lower range of [[Orwell]]

| 5/3 = Upper range of ~~orwell~~

| 5/3 = Upper range of Orwell

| 13/8 = Unnamed golden tuning

| 12/5 = [[Lovecraft]]

| 13/5 = Golden lovecraft

| 6/1 = [[Gariberttet]]/[[Quasitemp]]/[[Kleiboh]] ↓

}}

[[Category:Gramitonic]]

@@ Line 28: / Line 28: @@
 ==== 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
 | Mode Names=
@@ Line 39: / Line 39: @@
 Mychos $
 Akti $
-Dini$
+Dini $
 }}
@@ Line 47: / Line 47: @@
 == 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&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 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]].
+* [[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 good [[5/4]].
+* [[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.
+The sizes of the generator, large step and small step of 4L&nbsp;5s are as follows in various parasoft 4L&nbsp;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 86: / Line 87: @@
 |}
-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.
+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 ==
@@ Line 95: / Line 96: @@
 == Scale tree ==
 {{MOS tuning spectrum
-| 6/5 = Lower range of [[orwell]]
+| 6/5 = Lower range of [[Orwell]]
-| 5/3 = Upper range of orwell
+| 5/3 = Upper range of Orwell
 | 13/8 = Unnamed golden tuning
 | 12/5 = [[Lovecraft]]
 | 13/5 = Golden lovecraft
+| 6/1 = [[Gariberttet]]/[[Quasitemp]]/[[Kleiboh]]&nbsp;↓
 }}
 [[Category:Gramitonic]] <!-- main article -->