4L 5s - Revision history

ArrowHead294: /* Tuning ranges */

2025-06-01T12:41:14Z

Tuning ranges

← Older revision		Revision as of 12:41, 1 June 2025
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	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).		* [[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.

ArrowHead294: /* Modes */

2025-03-27T12:55:24Z

Modes

← Older revision		Revision as of 12:55, 27 March 2025
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	==== Proposed names ====		==== 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		{{MOS modes
	\| Mode Names=		\| Mode Names=
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	Mychos $		Mychos $
	Akti $		Akti $
	Dini$		Dini $
	}}		}}

ArrowHead294: /* Tuning ranges */

2025-03-27T12:53:58Z

Tuning ranges

← Older revision		Revision as of 12:53, 27 March 2025
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	== Tuning ranges ==		== Tuning ranges ==
	=== Parasoft ===		=== 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]].		Parasoft 4L 5s edos include [[22edo]], [[31edo]], [[53edo]], and [[84edo]].
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	* [[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 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"		{\| 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 ==		== Scales ==

ArrowHead294: /* Scale tree */

2025-03-27T12:52:16Z

Scale tree

← Older revision		Revision as of 12:52, 27 March 2025
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	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum		{{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		\| 13/8 = Unnamed golden tuning
	\| 12/5 = [[Lovecraft]]		\| 12/5 = [[Lovecraft]]

Lériendil: added gariberttet

2025-03-19T00:18:48Z

added gariberttet

← Older revision		Revision as of 00:18, 19 March 2025
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	\| 12/5 = [[Lovecraft]]		\| 12/5 = [[Lovecraft]]
	\| 13/5 = Golden lovecraft		\| 13/5 = Golden lovecraft
			\| 6/1 = [[Gariberttet]]/[[Quasitemp]]/[[Kleiboh]] ↓
	}}		}}

	[[Category:Gramitonic]] <!-- main article -->		[[Category:Gramitonic]] <!-- main article -->

ArrowHead294: /* Proposed names */

2025-03-17T17:35:09Z

Proposed names

← Older revision		Revision as of 17:35, 17 March 2025
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	==== Proposed names ====		==== 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'.		[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'.
	{{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 ==		== Theory ==

FloraC: +scales

2025-03-17T17:31:20Z

+scales

← Older revision		Revision as of 17:31, 17 March 2025
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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 ==
			* [[Guanyintet9]] – [[311edo\|70\311]] tuning
			* [[Orwell9]] – [[84edo\|19\84]] tuning
			* [[Lovecraft9]] – [[116edo\|27\116]] tuning

	== Scale tree ==		== Scale tree ==

ArrowHead294 at 19:00, 3 March 2025

2025-03-03T19:00:37Z

← Older revision		Revision as of 19:00, 3 March 2025
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	== Scale properties ==		== Scale properties ==
	{{TAMNAMS use}}		{{TAMNAMS use}}
	{{MOS ~~data~~}}
			=== Intervals ===
			{{MOS intervals}}

			=== Generator chain ===
			{{MOS genchain}}

			=== Modes ===
			{{MOS mode degrees}}

	==== Proposed names ====		==== Proposed names ====

ArrowHead294 at 18:04, 28 February 2025

2025-02-28T18:04:59Z

← Older revision		Revision as of 18:04, 28 February 2025
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	\|}		\|}

	This set of JI interpretations ({{nowrap\|g → 7/6~~}}, {{nowrap~~\|2g → 11/8~~}}, {{nowrap~~\|3g → 8/5~~}}, {{nowrap~~\|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 ==		== Scale tree ==
	{{~~Scale tree~~\|~~Comments=~~6/5: Lower range of [[orwell]];		{{MOS tuning spectrum
	5/3: Upper range of orwell;		\| 6/5 = Lower range of [[orwell]]
	13/8: Unnamed golden tuning;		\| 5/3 = Upper range of orwell
	12/5: [[Lovecraft]];		\| 13/8 = Unnamed golden tuning
	13/5: Golden lovecraft}}		\| 12/5 = [[Lovecraft]]
			\| 13/5 = Golden lovecraft
			}}

	[[Category:Gramitonic]] <!-- main article -->		[[Category:Gramitonic]] <!-- main article -->

ArrowHead294: /* Scale properties */

2025-02-25T14:11:27Z

Scale properties

← Older revision		Revision as of 14:11, 25 February 2025
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	== Scale properties ==		== Scale properties ==
	{{TAMNAMS use}}		{{TAMNAMS use}}
			{{MOS data}}
	~~=== Intervals ===~~
	{{MOS ~~intervals}}~~

	~~=== Modes ===~~
	~~{{MOS mode degrees~~}}

	==== Proposed names ====		==== Proposed names ====