5L 7s - Revision history

Furcht968 at 16:39, 2 April 2026

2026-04-02T16:39:18Z

← Older revision		Revision as of 16:39, 2 April 2026
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			{{interwiki
			\| de =
			\| en = 5L 7s
			\| es =
			\| ja = 5L 7s
			}}
	{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro\|Other Names=p-chromatic}}		{{MOS intro\|Other Names=p-chromatic}}

Overthink: /* Scales */ update this

2026-01-28T22:47:24Z

Scales: update this

← Older revision		Revision as of 22:47, 28 January 2026
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	* [[Pepperoni12]] – 271edo tuning		* [[Pepperoni12]] – 271edo tuning
	* [[Supra12]] – 56edo tuning		* [[Supra12]] – 56edo tuning
	* [[Archy12]] – ~~472edo~~ tuning		* [[Archy12]] – 49edo tuning
	* [[12-22a]] – 22edo tuning		* [[12-22a]] – 22edo tuning

FloraC: Replace deprecated template. Style

2025-04-28T12:38:46Z

Replace deprecated template. Style

← Older revision		Revision as of 12:38, 28 April 2025
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	{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro\|Other Names=p-chromatic}}		{{MOS intro\|Other Names=p-chromatic}}
	5L 7s represents the chromatic scales of [[Pythagorean tuning\|Pythagorean]]/[[~~Schismatic family\|~~schismic]] and [[superpyth]], the former being [[Rothenberg propriety\|proper]] but the latter improper until expanded by 5 more notes, producing ~~superpyth~~[17]. Such scales are characterized by having a small step ([[diatonic semitone]]) that is smaller than the [[chroma]] ([[chromatic semitone]]), the reverse of [[7L 5s]].		5L 7s represents the chromatic scales of [[Pythagorean tuning\|Pythagorean]]/[[schismic]] and [[superpyth]], the former being [[Rothenberg propriety\|proper]] but the latter improper until expanded by 5 more notes, producing Superpyth[17]. Such scales are characterized by having a small step ([[diatonic semitone]]) that is smaller than the [[chroma]] ([[chromatic semitone]]), the reverse of [[7L 5s]].

	The two distinct harmonic entropy minima are, on the one hand, scales very close to [[Pythagorean tuning]] or the [[schismatic]] temperament, and on the other hand, the simpler and less accurate temperament known as [[superpyth]] in which 64/63 is tempered out.		The two distinct harmonic entropy minima are, on the one hand, scales very close to Pythagorean tuning or the schismatic temperament, and on the other hand, the simpler and less accurate temperament known as superpyth in which 64/63 is tempered out.

	== 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 ===

Sintel: typo + linking

2025-04-18T00:02:38Z

typo + linking

← Older revision		Revision as of 00:02, 18 April 2025
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	5L 7s represents the chromatic scales of [[Pythagorean tuning\|Pythagorean]]/[[Schismatic family\|schismic]] and [[superpyth]], the former being [[Rothenberg propriety\|proper]] but the latter improper until expanded by 5 more notes, producing superpyth[17]. Such scales are characterized by having a small step ([[diatonic semitone]]) that is smaller than the [[chroma]] ([[chromatic semitone]]), the reverse of [[7L 5s]].		5L 7s represents the chromatic scales of [[Pythagorean tuning\|Pythagorean]]/[[Schismatic family\|schismic]] and [[superpyth]], the former being [[Rothenberg propriety\|proper]] but the latter improper until expanded by 5 more notes, producing superpyth[17]. Such scales are characterized by having a small step ([[diatonic semitone]]) that is smaller than the [[chroma]] ([[chromatic semitone]]), the reverse of [[7L 5s]].

	The two distinct harmonic entropy minima are, on the one hand, scales very close to ~~Pythagorean such that~~ [[~~64/63~~]] ~~is not tempered out, such as~~ the schismatic ~~temperaments known as Helmholtz and Garibaldi~~, and on the other hand, th simpler and less accurate temperament known as [[~~archy~~]] in which 64/63 is tempered out.		The two distinct harmonic entropy minima are, on the one hand, scales very close to [[Pythagorean tuning]] or the [[schismatic]] temperament, and on the other hand, the simpler and less accurate temperament known as [[superpyth]] in which 64/63 is tempered out.

	== Scale properties ==		== Scale properties ==

Lériendil: Text replacement - "[[Helmholtz temperament|" to "[[Helmholtz (temperament)|"

2025-04-17T02:29:32Z

Text replacement - "[[Helmholtz temperament|" to "[[Helmholtz (temperament)|"

← Older revision		Revision as of 02:29, 17 April 2025
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	{{MOS tuning spectrum		{{MOS tuning spectrum
	\| 6/5 = [[Photia]], ↑ [[grackle]]		\| 6/5 = [[Photia]], ↑ [[grackle]]
	\| 5/4 = [[Helmholtz temperament\|Helmholtz]], [[Pythagorean tuning]] (701.955{{c}})		\| 5/4 = [[Helmholtz (temperament)\|Helmholtz]], [[Pythagorean tuning]] (701.955{{c}})
	\| 9/7 = [[Garibaldi]] / [[cassandra]]		\| 9/7 = [[Garibaldi]] / [[cassandra]]
	\| 4/3 = Garibaldi / [[andromeda]]		\| 4/3 = Garibaldi / [[andromeda]]

Nick Vuci: Edited Helmholtz redirect

2025-04-16T15:43:21Z

Edited Helmholtz redirect

← Older revision		Revision as of 15:43, 16 April 2025
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	{{MOS tuning spectrum		{{MOS tuning spectrum
	\| 6/5 = [[Photia]], ↑ [[grackle]]		\| 6/5 = [[Photia]], ↑ [[grackle]]
	\| 5/4 = [[Helmholtz]], [[Pythagorean tuning]] (701.955{{c}})		\| 5/4 = [[Helmholtz temperament\|Helmholtz]], [[Pythagorean tuning]] (701.955{{c}})
	\| 9/7 = [[Garibaldi]] / [[cassandra]]		\| 9/7 = [[Garibaldi]] / [[cassandra]]
	\| 4/3 = Garibaldi / [[andromeda]]		\| 4/3 = Garibaldi / [[andromeda]]

ArrowHead294 at 19:40, 28 February 2025

2025-02-28T19:40:39Z

← Older revision		Revision as of 19:40, 28 February 2025
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	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum		{{MOS tuning spectrum
	\| 6/5 = [[Photia]], ↑ [[grackle]];		\| 6/5 = [[Photia]], ↑ [[grackle]]
	\| 5/4 = [[Helmholtz]], [[Pythagorean tuning]] (701.955{{c});		\| 5/4 = [[Helmholtz]], [[Pythagorean tuning]] (701.955{{c}})
	\| 9/7 = [[Garibaldi]] / [[cassandra]]		\| 9/7 = [[Garibaldi]] / [[cassandra]]
	\| 4/3 = Garibaldi / [[andromeda]]		\| 4/3 = Garibaldi / [[andromeda]]
	\| 11/8 = [[Kwai]]		\| 11/8 = [[Kwai]]
	\| 10/7 = [[Undecental]], argent tuning (702.944{{c});		\| 10/7 = [[Undecental]], argent tuning (702.944{{c}})
	\| 3/2 = [[Edson]]		\| 3/2 = [[Edson]]
	\| 13/8 = [[Polypyth]], golden neogothic (704.096{{c});		\| 13/8 = [[Polypyth]], golden neogothic (704.096{{c}})
	\| 5/3 = [[Leapday]]		\| 5/3 = [[Leapday]]
	\| 12/7 = [[Leapweek]]		\| 12/7 = [[Leapweek]]
	\| 7/3 = [[Supra]]		\| 7/3 = [[Supra]]
	\| 13/5 = Golden supra (708.054{{c});		\| 13/5 = Golden supra (708.054{{c}})
	\| 8/3 = [[Quasisuper]] / [[quasisupra]]		\| 8/3 = [[Quasisuper]] / [[quasisupra]]
	\| 3/1 = [[Suprapyth]]		\| 3/1 = [[Suprapyth]]

ArrowHead294 at 19:40, 28 February 2025

2025-02-28T19:40:02Z

← Older revision		Revision as of 19:40, 28 February 2025
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	The two distinct harmonic entropy minima are, on the one hand, scales very close to Pythagorean such that [[64/63]] is not tempered out, such as the schismatic temperaments known as Helmholtz and Garibaldi, and on the other hand, th simpler and less accurate temperament known as [[archy]] in which 64/63 is tempered out.		The two distinct harmonic entropy minima are, on the one hand, scales very close to Pythagorean such that [[64/63]] is not tempered out, such as the schismatic temperaments known as Helmholtz and Garibaldi, and on the other hand, th simpler and less accurate temperament known as [[archy]] in which 64/63 is tempered out.
	~~==Intervals==~~
	~~{{MOS intervals}}~~

	== ~~Modes~~ ==		== Scale properties ==
	{{MOS ~~mode degrees~~}}		{{TAMNAMS use}}
	=== Proposed ~~Names~~ ===		{{MOS data}}

			=== Proposed names ===
	The modes are named by [[Eliora]] after Chinese zodiac animals. 5L 7s is the opposite mos to [[7L 5s]], named after a Western concept, Gregorian months, therefore this mos scale has Eastern nomenclature. Furthermore, 12edo (equalized tuning of this MOS) was independently discovered in China.		The modes are named by [[Eliora]] after Chinese zodiac animals. 5L 7s is the opposite mos to [[7L 5s]], named after a Western concept, Gregorian months, therefore this mos scale has Eastern nomenclature. Furthermore, 12edo (equalized tuning of this MOS) was independently discovered in China.

	{{MOS modes\|Mode Names= Rat; Ox; Tiger; Rabbit; Dragon; Snake; Horse; Goat; Monkey; Rooster; Dog; Pig}}		{{MOS modes
			\| Mode Names=
			Rat $
			Ox $
			Tiger $
			Rabbit $
			Dragon $
			Snake $
			Horse $
			Goat $
			Monkey $
			Rooster $
			Dog $
			Pig $
			}}

	== Scales ==		== Scales ==
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	== Scale tree ==		== Scale tree ==
	{{~~Scale tree~~\|~~Comments=~~6/5: [[Photia]], ↑ [[grackle]];		{{MOS tuning spectrum
	5/4: [[Helmholtz]], [[Pythagorean tuning]] (701.~~955¢~~);		\| 6/5 = [[Photia]], ↑ [[grackle]];
	9/7: [[Garibaldi]] / [[cassandra]];		\| 5/4 = [[Helmholtz]], [[Pythagorean tuning]] (701.955{{c});
	4/3: Garibaldi / [[andromeda]];		\| 9/7 = [[Garibaldi]] / [[cassandra]]
	11/8: [[Kwai]];		\| 4/3 = Garibaldi / [[andromeda]]
	10/7: [[Undecental]], argent tuning (702.~~944¢~~);		\| 11/8 = [[Kwai]]
	3/2: [[Edson]];		\| 10/7 = [[Undecental]], argent tuning (702.944{{c});
	13/8: [[Polypyth]], golden neogothic (704.~~096¢~~);		\| 3/2 = [[Edson]]
	5/3: [[Leapday]];		\| 13/8 = [[Polypyth]], golden neogothic (704.096{{c});
	12/7: [[Leapweek]];		\| 5/3 = [[Leapday]]
	7/3: [[Supra]];		\| 12/7 = [[Leapweek]]
	13/5: Golden supra (708.~~054¢~~);		\| 7/3 = [[Supra]]
	8/3: [[Quasisuper]] / [[quasisupra]];		\| 13/5 = Golden supra (708.054{{c});
	3/1: [[Suprapyth]];		\| 8/3 = [[Quasisuper]] / [[quasisupra]]
	7/2: [[Superpyth]];		\| 3/1 = [[Suprapyth]]
	6/1: ↓ [[Oceanfront]] / [[ultrapyth]]		\| 7/2 = [[Superpyth]]
			\| 6/1 = ↓ [[Oceanfront]] / [[ultrapyth]]
	}}		}}

	[[Category:12-tone scales]]		[[Category:12-tone scales]]
	[[Category:P-chromatic\| ]]<!-- main article -->		[[Category:P-chromatic\| ]]<!-- main article -->
	[[Category:Chromatic scales]]		[[Category:Chromatic scales]]

FloraC: /* Scale tree */ +argent tuning; -pontiac (53edo is better); misc. cleanup

2024-12-02T14:01:41Z

Scale tree: +argent tuning; -pontiac (53edo is better); misc. cleanup

← Older revision		Revision as of 14:01, 2 December 2024
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	== Scale tree ==		== Scale tree ==
	{{Scale tree\|Comments=6/5: [[Photia]] ~~/ [[pontiac]] /~~ [[grackle]];		{{Scale tree\|Comments=6/5: [[Photia]], ↑ [[grackle]];
	5/4: [[Helmholtz]], [[Pythagorean tuning]] (701.~~9550¢~~);		5/4: [[Helmholtz]], [[Pythagorean tuning]] (701.955¢);
	9/7: [[Garibaldi]] / [[cassandra]];		9/7: [[Garibaldi]] / [[cassandra]];
	4/3: Garibaldi / [[andromeda]];		4/3: Garibaldi / [[andromeda]];
	11/8: [[Kwai]];		11/8: [[Kwai]];
	10/7: [[Undecental]];		10/7: [[Undecental]], argent tuning (702.944¢);
	3/2: [[Edson]];		3/2: [[Edson]];
	13/8: ~~Golden~~ neogothic (704.~~0956¢~~);		13/8: [[Polypyth]], golden neogothic (704.096¢);
	5/3: [[Leapday~~]] / [[polypyth~~]];		5/3: [[Leapday]];
	12/7: [[Leapweek]];		12/7: [[Leapweek]];
	7/3: [[Supra]];		7/3: [[Supra]];
	13/5: Golden supra (708.~~0539¢~~);		13/5: Golden supra (708.054¢);
	8/3: [[Quasisuper]] / [[quasisupra]];		8/3: [[Quasisuper]] / [[quasisupra]];
	3/1: [[Suprapyth]];		3/1: [[Suprapyth]];
	7/2: [[Superpyth]];		7/2: [[Superpyth]];
	6/1: ↓ [[~~Ultrapyth~~]] / [[~~Oceanfront scales\|Oceanfront~~]]		6/1: ↓ [[Oceanfront]] / [[ultrapyth]]
	}}		}}
	[[Category:12-tone scales]]		[[Category:12-tone scales]]
	[[Category:P-chromatic\| ]]<!-- main article -->		[[Category:P-chromatic\| ]]<!-- main article -->
	[[Category:Chromatic scales]]		[[Category:Chromatic scales]]

Eliora: /* Proposed Names */ another rationale for this naming I forgot to mention a while ago

2024-09-24T17:40:11Z

Proposed Names: another rationale for this naming I forgot to mention a while ago

← Older revision		Revision as of 17:40, 24 September 2024
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	{{MOS mode degrees}}		{{MOS mode degrees}}
	=== Proposed Names ===		=== Proposed Names ===
	The modes are named by [[Eliora]] after Chinese zodiac animals. 5L 7s is the opposite mos to [[7L 5s]], named after a Western concept, Gregorian months, therefore this mos scale has Eastern nomenclature.		The modes are named by [[Eliora]] after Chinese zodiac animals. 5L 7s is the opposite mos to [[7L 5s]], named after a Western concept, Gregorian months, therefore this mos scale has Eastern nomenclature. Furthermore, 12edo (equalized tuning of this MOS) was independently discovered in China.

	{{MOS modes\|Mode Names= Rat; Ox; Tiger; Rabbit; Dragon; Snake; Horse; Goat; Monkey; Rooster; Dog; Pig}}		{{MOS modes\|Mode Names= Rat; Ox; Tiger; Rabbit; Dragon; Snake; Horse; Goat; Monkey; Rooster; Dog; Pig}}