2L 3s - Revision history

Furcht968 at 18:33, 3 April 2026

2026-04-03T18:33:26Z

2026-01-28T22:46:42Z

Scale list: update

← Older revision		Revision as of 22:46, 28 January 2026
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	== Scales ==		== Scales ==
	=== Scale list ===		=== Scale list ===
	* [[Archy5]] – ~~472edo~~ tuning		* [[Archy5]] – 49edo tuning
	* [[Edson5]] – 29edo tuning		* [[Edson5]] – 29edo tuning
	* [[Pythagorean5]] – Pythagorean tuning		* [[Pythagorean5]] – Pythagorean tuning

2026-01-25T18:48:49Z

Mode names: hanzi added

← Older revision		Revision as of 18:48, 25 January 2026
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	Fifthless $		Fifthless $
	Phrygian $		Phrygian $
	~~Jue~~ $		Jué (角) $
	Minor $		Minor $
	Aeolian $		Aeolian $
	Yu $		Yǔ (羽) $
	Thirdless Minor* $		Thirdless Minor* $
	Dorian $		Dorian $
	~~Shang~~ $		Shāng (商) $
	Thirdless Major* $		Thirdless Major* $
	Mixolydian $		Mixolydian $
	~~Zhi~~ $		Zhǐ (徵) $
	Major $		Major $
	Ionian $		Ionian $
	~~Gong~~ $		Gōng (宫) $
	}}		}}
	<nowiki />* Thirdless Minor/Major is also known as Suspended Minor/Major		<nowiki />* Thirdless Minor/Major is also known as Suspended Minor/Major

2025-03-06T13:15:12Z

Scales: Pythagorean pentatonic in 53edo is 13/9

← Older revision		Revision as of 13:15, 6 March 2025
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	\| 6/5 = Slendro (insofar as it resembles a MOS) would<br />be in this region		\| 6/5 = Slendro (insofar as it resembles a MOS) would<br />be in this region
	\| 9/7 = No-5s [[superpyth]]/dominant is around here		\| 9/7 = No-5s [[superpyth]]/dominant is around here
	\| 16/7 = Pythagorean pentatonic is around here		\| 13/9 = Pythagorean pentatonic is around here
	\| 3/2 = Familiar [[12edo\|12-equal]] pentatonic		\| 3/2 = Familiar [[12edo\|12-equal]] pentatonic
	\| 8/5 = Optimal meantone pentatonic is around here		\| 8/5 = Optimal meantone pentatonic is around here

2025-03-05T16:30:10Z

Scales: Pythagorean pentatonic in 53edo is 16/7, not 9/4, 9/4 is the Pythagorean diatonic

← Older revision		Revision as of 16:30, 5 March 2025
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	=== Scale tree ===		=== Scale tree ===
	{{MOS tuning spectrum		{{MOS tuning spectrum
			\| Depth = 6
	\| 6/5 = Slendro (insofar as it resembles a MOS) would<br />be in this region		\| 6/5 = Slendro (insofar as it resembles a MOS) would<br />be in this region
	\| 9/7 = No-5s [[superpyth]]/dominant is around here		\| 9/7 = No-5s [[superpyth]]/dominant is around here
	\| 9/4 = Pythagorean pentatonic is around here		\| 16/7 = Pythagorean pentatonic is around here
	\| 3/2 = Familiar [[12edo\|12-equal]] pentatonic		\| 3/2 = Familiar [[12edo\|12-equal]] pentatonic
	\| 8/5 = Optimal meantone pentatonic is around here		\| 8/5 = Optimal meantone pentatonic is around here

2025-03-05T16:29:16Z

← Older revision		Revision as of 16:29, 5 March 2025
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	}}		}}

	: ''For the 3/2-equivalent 2L 3s pattern, see [[2L 3s (3/2-equivalent)]].''		: ''For the 3/2-equivalent 2L 3s pattern, see [[2L 3s (3/2-equivalent)]].''

	{{MOS intro}} This scale is the "classic" pentatonic scale, which is perhaps the most common scale in the world.		{{MOS intro}} This scale is the "classic" pentatonic scale, which is perhaps the most common scale in the world.
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	From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[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:Pentic]]
	[[Category:5-tone scales]]		[[Category:5-tone scales]]

2025-03-03T18:52:38Z

2025-03-02T14:45:01Z

← Older revision		Revision as of 14:45, 2 March 2025
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	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.		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.

	== ~~Intervals~~ ==		== Scale properties ==
	{{~~MOS intervals~~}}		{{TAMNAMS use}}
			{{MOS data}}
	~~== Modes ==~~
	~~=== Degrees ===~~
	{{MOS ~~mode degrees~~}}

	=== Mode names ===		=== Mode names ===
	There are three sets of mode names: descriptive, modal (5 of the 7 heptatonic modes), and traditional Chinese.		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\|		{{MOS modes
	Table Entries=Fifthless;Phrygian;Jue;		\| Table Headers=
	Minor;Aeolian;Yu;		Descriptive $
	Thirdless Minor*;Dorian;Shang;		Modal $
	Thirdless Major*;Mixolydian;Zhi;		Chinese $
	Major;Ionian;Gong}}		\| Table Entries=
			Fifthless $
			Phrygian $
			Jue $
			Minor $
			Aeolian $
			Yu $
			Thirdless Minor* $
			Dorian $
			Shang $
			Thirdless Major* $
			Mixolydian $
			Zhi $
			Major $
			Ionian $
			Gong $
			}}
	<nowiki />* Thirdless Minor/Major is also known as Suspended Minor/Major		<nowiki />* Thirdless Minor/Major is also known as Suspended Minor/Major

2025-02-28T06:46:31Z

scale tree -> mos tuning spectrum

← Older revision		Revision as of 06:46, 28 February 2025
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	=== Scale tree ===		=== Scale tree ===
	{{~~Scale tree~~		{{MOS tuning spectrum
	\| ~~Comments=~~		\| 6/5 = Slendro (insofar as it resembles a MOS) would<br />be in this region
	6/5: Slendro (insofar as it resembles a MOS) would<br />be in this region $		\| 9/7 = No-5s [[superpyth]]/dominant is around here
	9/7: No-5s [[superpyth]]/dominant is around here $		\| 9/4 = Pythagorean pentatonic is around here
	9/4: Pythagorean pentatonic is around here $		\| 3/2 = Familiar [[12edo\|12-equal]] pentatonic
	3/2: Familiar [[12edo\|12-equal]] pentatonic $		\| 8/5 = Optimal meantone pentatonic is around here
	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
	5/2: Five-note subset of [[pelog]] (insofar as it<br />resembles a MOS) would be in this region $
	}}		}}

2025-02-28T01:25:16Z

← Older revision		Revision as of 01:25, 28 February 2025
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	{{Scale tree		{{Scale tree
	\| Comments=		\| Comments=
	6/5: Slendro (insofar as it resembles a MOS) would<br />be in this region ~~{{!}}~~		6/5: Slendro (insofar as it resembles a MOS) would<br />be in this region $
	9/7: No-5s [[superpyth]]/dominant is around here ~~{{!}}~~		9/7: No-5s [[superpyth]]/dominant is around here $
	9/4: Pythagorean pentatonic is around here ~~{{!}}~~		9/4: Pythagorean pentatonic is around here $
	3/2: Familiar [[12edo\|12-equal]] pentatonic ~~{{!}}~~		3/2: Familiar [[12edo\|12-equal]] pentatonic $
	8/5: Optimal meantone pentatonic is around here ~~{{!}}~~		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 ~~{{!}}~~		5/2: Five-note subset of [[pelog]] (insofar as it<br />resembles a MOS) would be in this region $
	}}		}}