User:Ganaram inukshuk/5L 2s - Revision history

ArrowHead294 at 18:22, 3 March 2025

2025-03-03T18:22:38Z

@@ Line 307: / Line 307: @@
 ==Scale tree ==
-{{Scale tree|5L 2s|depth=6|Comments=7/5:[[Flattone]] is in this region;21/13:[[Golden meantone]] (696.2145¢);5/3:[[Meantone]] is in this region;2/1:(Generators smaller than this are proper);9/4:The generator closest to a just [[3/2]] for EDOs less than 200;16/7:[[Garibaldi]] / [[Cassandra]];21/8:Golden neogothic (704.0956¢);8/3:[[Neogothic]] is in this region;4/1:[[Archy]] is in this region|tuning=5L 2s}}
+{{MOS tuning spectrum
 ==See also==
 * [[Diatonic functional harmony]]

Ganaram inukshuk: Partial cleanup

2024-09-07T21:17:11Z

Partial cleanup

← Older revision		Revision as of 21:17, 7 September 2024
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	===Simple tunings===		===Simple tunings===
	[[17edo]] and [[19edo]] are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.		[[17edo]] and [[19edo]] are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.

	~~{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=2/1; 3/1; 3/2\|Genchain Extend=7\|Notation=NONE}}~~
	===Parasoft tunings ===		===Parasoft tunings ===
	:''Main article: [[Flattone]]''		:''Main article: [[Flattone]]''
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	Edos include [[19edo]], [[26edo]], [[45edo]], and [[64edo]].		Edos include [[19edo]], [[26edo]], [[45edo]], and [[64edo]].

	~~{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=3/2; 4/3; 7/5; 10/7\|Genchain Extend=0, 5\|Notation=NONE}}~~
	===Hyposoft tunings===		===Hyposoft tunings===
	:''Main article: [[Meantone]]''		:''Main article: [[Meantone]]''
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	Edos include [[19edo]], [[31edo]], [[43edo]], and [[50edo]].		Edos include [[19edo]], [[31edo]], [[43edo]], and [[50edo]].

	~~{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=3/2; 5/3; 7/4; 8/5\|Genchain Extend=0, 5\|Notation=NONE}}~~
	===Hypohard tunings===		===Hypohard tunings===
	:''Main article: [[Pythagorean tuning]] and [[Schismatic family#Schismatic aka Helmholtz\|schismatic temperament]]''		:''Main article: [[Pythagorean tuning]] and [[Schismatic family#Schismatic aka Helmholtz\|schismatic temperament]]''
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	Edos include [[41edo]] and [[53edo]].		Edos include [[41edo]] and [[53edo]].

	~~{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=7/3; 9/4\|Genchain Extend=0, 5\|Notation=NONE}}~~
	==== Quasihard tunings====		==== Quasihard tunings====
	Quasihard tunings correspond to "neogothic" or "parapyth" systems whose perfect 5th is slightly sharper than just, resulting in major 3rds that are sharper than 81/64 and minor 3rds that are slightly flat of [[32/27]] (294¢).		Quasihard tunings correspond to "neogothic" or "parapyth" systems whose perfect 5th is slightly sharper than just, resulting in major 3rds that are sharper than 81/64 and minor 3rds that are slightly flat of [[32/27]] (294¢).

	Edos include [[17edo]], [[29edo]], and [[46edo]]. 17edo is considered to be on the sharper end of the neogothic spectrum, with a major 3rd that is more discordant than flatter neogothic tunings.		Edos include [[17edo]], [[29edo]], and [[46edo]]. 17edo is considered to be on the sharper end of the neogothic spectrum, with a major 3rd that is more discordant than flatter neogothic tunings.

	~~{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=3/1; 5/2; 8/3\|Genchain Extend=0, 5\|Notation=NONE}}~~
	===Parahard and ultrahard tunings===		===Parahard and ultrahard tunings===
	:''Main article: [[Archy]]''		:''Main article: [[Archy]]''
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	Edos include [[17edo]], [[22edo]], [[27edo]], and [[32edo]], among others.		Edos include [[17edo]], [[22edo]], [[27edo]], and [[32edo]], among others.

	~~{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=3/1; 4/1; 5/1; 6/1\|Genchain Extend=0, 5\|Notation=NONE}}~~
	==Modes==		==Modes==
	Diatonic modes have standard names from classical music theory:		Diatonic modes have standard names from classical music theory:

Ganaram inukshuk: Deactivate categories on test page

2024-02-22T05:48:52Z

Deactivate categories on test page

← Older revision		Revision as of 05:48, 22 February 2024
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	{{Infobox MOS\|Tuning=5L 2s}}		{{Infobox MOS\|Tuning=5L 2s\|debug=1}}
	:''This is a test page. For the main page, see [[5L 2s]].''		:''This is a test page. For the main page, see [[5L 2s]].''
	{{MOS intro\|Scale Signature=5L 2s}}		{{MOS intro\|Scale Signature=5L 2s}}

Ganaram inukshuk: Sandboxed section for a genchain (as some pages have genchain info)

2023-10-08T09:40:28Z

Sandboxed section for a genchain (as some pages have genchain info)

← Older revision		Revision as of 09:40, 8 October 2023
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	\|Perfect (C)		\|Perfect (C)
	\|}		\|}

			== Generator chain ==
			''Explain how the scale can also be generated by stacking 6 generating intervals in any combination of up or down from the root. Also explain how this can be extended further to 11 generators to produce chromatic scales.''

	==Scales==		==Scales==

Ganaram inukshuk: Sandboxed an alternate layout for the intervals module, closer to what is (at the time) used for the 5L 3s page (but without genchain info and in ascending order of pitch); sandboxed a scale construction clause (select a variety for each interval class and you may either get a mos or modmos)

2023-10-08T09:30:25Z

Sandboxed an alternate layout for the intervals module, closer to what is (at the time) used for the 5L 3s page (but without genchain info and in ascending order of pitch); sandboxed a scale construction clause (select a variety for each interval class and you may either get a mos or modmos)

@@ Line 9: / Line 9: @@
 ==Intervals==
-:''This article assumes [[TAMNAMS]] for naming mossteps.''
+:''This article assumes [[TAMNAMS]] for naming step ratios, mossteps, and mosdegrees.''
-Intervals are identical to that of standard notation. As such, the usual [[Interval quality|interval qualities]] of major/minor and augmented/perfect/diminished apply here.
+Names for this scale's intervals (mossteps) and scale degrees (mosdegrees) are based on the number of large and small steps from the root, starting at 0 (the 0-mosstep and 0-mosdegree) for the unison.
-{{MOS intervals|Scale Signature=5L 2s}}
+Except for the unison and octave, all [[Interval class|interval classes]] have two [[Interval variety|varieties]] or sizes, denoted using the terms ''major'' and ''minor'' for the large and small sizes, respectively. The exception to this rule are the generators, which use the terms ''augmented'', ''perfect'', and ''diminished'' instead.
 ==Notation==

Ganaram inukshuk: Mockup of changes for notationally agnostic mos page

2023-10-07T01:44:18Z

Mockup of changes for notationally agnostic mos page

Show changes

Ganaram inukshuk: Final edits before this is ready for the main namespace.

2023-07-02T22:06:55Z

Final edits before this is ready for the main namespace.

← Older revision		Revision as of 22:06, 2 July 2023
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	Among the most well-known forms of this scale are the diatonic scale of [[12edo]], the Pythagorean diatonic scale, and scales produced by meantone systems.		Among the most well-known forms of this scale are the diatonic scale of [[12edo]], the Pythagorean diatonic scale, and scales produced by meantone systems.
	== Name==		== Name==
	TAMNAMS suggests the temperament-agnostic name '''diatonic''' for this scale, which commonly refers to a scale with 5 whole steps and 2 small steps. Under TAMNAMS and for all scale pattern pages on the wiki, '''the term ''diatonic'' exclusively refers to 5L 2s'''.		[[TAMNAMS]] suggests the temperament-agnostic name '''diatonic''' for this scale, which commonly refers to a scale with 5 whole steps and 2 small steps. Under TAMNAMS and for all scale pattern pages on the wiki, '''the term ''diatonic'' exclusively refers to 5L 2s'''.

	The term ''diatonic'' may also refer to scales produced using [[Tetrachord\|tetrachords]], [[just intonation]], or in general have more than one size of whole tone. Such scales, such as [[Zarlino]], [[blackdye]] and [[diasem]], are specifically called ''[[Detempering\|detempered]] diatonic scales'' (for an RTT-based philosophy) or ''deregularized diatonic scales'' (for an RTT-agnostic philosophy). The terms ''diatonic-like'' or ''diatonic-based'' may also be used to refer such scales, depending on what's contextually the most appropriate.		The term ''diatonic'' may also refer to scales produced using [[Tetrachord\|tetrachords]], [[just intonation]], or in general have more than one size of whole tone. Such scales, such as [[Zarlino]], [[blackdye]] and [[diasem]], are specifically called ''[[Detempering\|detempered]] diatonic scales'' (for an RTT-based philosophy) or ''deregularized diatonic scales'' (for an RTT-agnostic philosophy). The terms ''diatonic-like'' or ''diatonic-based'' may also be used to refer such scales, depending on what's contextually the most appropriate.
Line 11:		Line 11:

	===Intervals===		===Intervals===
	Intervals are identical to that of standard notation. As such, the usual interval qualities of major/minor and augmented/perfect/diminished apply here.		Intervals are identical to that of standard notation. As such, the usual [[Interval quality\|interval qualities]] of major/minor and augmented/perfect/diminished apply here.
	{\| class="wikitable"		{\| class="wikitable"
	! rowspan="2" \|Interval class		! rowspan="2" \|Interval class
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	==Tuning ranges==		==Tuning ranges==
	===Simple tunings===		===Simple tunings===
	17edo and 19edo~~, produced using step ratios of 3:1 and 3:2 respectively,~~ are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=2/1; 3/1; 3/2\|Genchain Extend=7}}		[[17edo]] and [[19edo]] are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=2/1; 3/1; 3/2\|Genchain Extend=7}}
	===Parasoft tunings===		===Parasoft tunings===
	:''Main article: [[Flattone]]''		:''Main article: [[Flattone]]''
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	=== Subset and superset scales===		=== Subset and superset scales===
	5L 2s has a parent scale of 2L 3s, meaning ~~5L 2s contains~~ 2L 3s as a subset. 5L 2s also has two child scales ~~that both contain~~ 5L 2s ~~as a subset~~: ~~either~~ 7L 5s ~~(if the~~ step ~~ratio is less than 2:1) or~~ 5L 7s ~~(if the~~ step ~~ratio is greater than 2:1)~~. ~~A step ratio exactly 2:1 will produce~~ 12edo~~, an~~ equalized form of 5L 7s and 7L 5s.		5L 2s has a parent scale of [[2L 3s]], a pentatonic scale, meaning 2L 3s is a subset. 5L 2s also has the two child scales, which are supersets of 5L 2s:

			* [[7L 5s]], a chromatic scale produced using soft-of-basic step ratios.
			* [[5L 7s]], a chromatic scale produced using hard-of-basic step ratios.

			12edo contains 5L 2s as the equalized form of both 5L 7s and 7L 5s.

	===MODMOS scales and muddles===		===MODMOS scales and muddles===

Ganaram inukshuk at 20:59, 2 July 2023

2023-07-02T20:59:53Z

← Older revision		Revision as of 20:59, 2 July 2023
Line 4:		Line 4:
	Among the most well-known forms of this scale are the diatonic scale of [[12edo]], the Pythagorean diatonic scale, and scales produced by meantone systems.		Among the most well-known forms of this scale are the diatonic scale of [[12edo]], the Pythagorean diatonic scale, and scales produced by meantone systems.
	== Name==		== Name==
	TAMNAMS suggests the name '''diatonic''' for this scale, which commonly refers to a scale with 5 whole steps and 2 small steps. Under TAMNAMS and for all scale pattern pages on the wiki, '''the term ''diatonic'' exclusively refers to 5L 2s'''.		TAMNAMS suggests the temperament-agnostic name '''diatonic''' for this scale, which commonly refers to a scale with 5 whole steps and 2 small steps. Under TAMNAMS and for all scale pattern pages on the wiki, '''the term ''diatonic'' exclusively refers to 5L 2s'''.

	The term ''diatonic'' may also refer to scales produced using [[Tetrachord\|tetrachords]], [[just intonation]], or in general have more than one size of whole tone. Such scales, such as [[Zarlino]], [[blackdye]] and [[diasem]], are specifically called ''[[Detempering\|detempered]] diatonic scales'' (for an RTT-based philosophy) or ''deregularized diatonic scales'' (for an RTT-agnostic philosophy). The terms ''diatonic-like'' or ''diatonic-based'' may also be used to refer such scales, depending on what's contextually the most appropriate.		The term ''diatonic'' may also refer to scales produced using [[Tetrachord\|tetrachords]], [[just intonation]], or in general have more than one size of whole tone. Such scales, such as [[Zarlino]], [[blackdye]] and [[diasem]], are specifically called ''[[Detempering\|detempered]] diatonic scales'' (for an RTT-based philosophy) or ''deregularized diatonic scales'' (for an RTT-agnostic philosophy). The terms ''diatonic-like'' or ''diatonic-based'' may also be used to refer such scales, depending on what's contextually the most appropriate.

Ganaram inukshuk: /* Tuning ranges */

2023-07-02T07:26:24Z

Tuning ranges

← Older revision		Revision as of 07:26, 2 July 2023
Line 156:		Line 156:

	==Tuning ranges==		==Tuning ranges==
	~~{{MOS degrees\|Scale Signature=5L 2s}}~~
	===Simple tunings===		===Simple tunings===
	17edo and 19edo, produced using step ratios of 3:1 and 3:2 respectively, are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=2/1; 3/1; 3/2\|Genchain Extend=7}}		17edo and 19edo, produced using step ratios of 3:1 and 3:2 respectively, are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=2/1; 3/1; 3/2\|Genchain Extend=7}}

Ganaram inukshuk: Debugging mos degrees template that has nothing but the scale sig entered

2023-07-02T07:08:45Z

Debugging mos degrees template that has nothing but the scale sig entered

← Older revision		Revision as of 07:08, 2 July 2023
Line 156:		Line 156:

	==Tuning ranges==		==Tuning ranges==
			{{MOS degrees\|Scale Signature=5L 2s}}
	===Simple tunings===		===Simple tunings===
	17edo and 19edo, produced using step ratios of 3:1 and 3:2 respectively, are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=2/1; 3/1; 3/2\|Genchain Extend=7}}		17edo and 19edo, produced using step ratios of 3:1 and 3:2 respectively, are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.{{MOS degrees\|Scale Signature=5L 2s\|Step Ratio=2/1; 3/1; 3/2\|Genchain Extend=7}}