Ploidacot/Tricot - Revision history

Fredg999 category edits: Removing from Category:Ploidacots using Cat-a-lot

2026-07-16T06:38:51Z

Removing from Category:Ploidacots using Cat-a-lot

← Older revision		Revision as of 06:38, 16 July 2026
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	==== Guiron ====		==== Guiron ====
	[[Guiron]] is an extension to slendric which finds 5/4 at 24 generators down (diminished fourth), tempering out the [[schisma]].		[[Guiron]] is an extension to slendric which finds 5/4 at 24 generators down (diminished fourth), tempering out the [[schisma]].

	~~[[Category:Ploidacots\|Tricot]]~~

Xenllium at 10:51, 7 January 2026

2026-01-07T10:51:33Z

← Older revision		Revision as of 10:51, 7 January 2026
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	{{Breadcrumb}}{{Infobox ploidacot\|Ploids=1\|Shears=0\|Cots=3\|Pergen=[P8, P5/3]\|Forms=5, 11, 16\|Title=Tricot\|Wedgie=3}}'''Tricot''' is a temperament archetype where the generator is a supermajor second, three of which stack to form a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tricot temperaments usually generate the [[5L 1s]] and [[5L 6s]] MOS structures. Tricot temperaments produce "supermajor" and "subminor" intervals, splitting the diatonic semitone into three parts.		{{Breadcrumb}}{{Infobox ploidacot\|Ploids=1\|Shears=0\|Cots=3\|Pergen=[P8, P5/3]\|Forms=11, 16, 21, 26\|Title=Tricot\|Wedgie=3}}'''Tricot''' is a temperament archetype where the generator is a supermajor second, three of which stack to form a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tricot temperaments usually generate the [[5L 1s]] and [[5L 6s]] MOS structures. Tricot temperaments produce "supermajor" and "subminor" intervals, splitting the diatonic semitone into three parts.

	== ~~Notation~~ ==		== Intervals and notation ==
	While there is no agreed-upon notation system for tricot, the following is based on interpreting the generator as a supermajor second. ^^C and vDb are enharmonic.		While there is no agreed-upon notation system for tricot, the following is based on interpreting the generator as a supermajor second, allowing for an ^ or v to stand for 1/3 of a diatonic semitone, so ^^C and vDb are enharmonic.

	{\| class="wikitable"		{\| class="wikitable"
Line 60:		Line 60:
	\| 0		\| 0
	\| C		\| C
	\| perfect unison ~~/ perfect octave~~		\| perfect unison
	\|-		\|-
	\| 1		\| 1
Line 123:		Line 123:
	[[Guiron]] is an extension to slendric which finds 5/4 at 24 generators down (diminished fourth), tempering out the [[schisma]].		[[Guiron]] is an extension to slendric which finds 5/4 at 24 generators down (diminished fourth), tempering out the [[schisma]].

	[[Category:Ploidacots]]		[[Category:Ploidacots\|Tricot]]

FloraC: Text replacement - "[[Category:Ploidacot" to "[[Category:Ploidacots"

2026-01-06T09:44:29Z

Text replacement - "[[Category:Ploidacot" to "[[Category:Ploidacots"

← Older revision		Revision as of 09:44, 6 January 2026
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	[[Guiron]] is an extension to slendric which finds 5/4 at 24 generators down (diminished fourth), tempering out the [[schisma]].		[[Guiron]] is an extension to slendric which finds 5/4 at 24 generators down (diminished fourth), tempering out the [[schisma]].

	[[Category:~~Ploidacot~~]]		[[Category:Ploidacots]]

Xenllium: /* Temperament interpretations */

2026-01-04T06:35:17Z

Temperament interpretations

← Older revision		Revision as of 06:35, 4 January 2026
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	[[Rodan]] is an extension to slendric which finds 5/4 at 17 generators up, or the submajor third in the notation provided, and is tuned with a slightly sharpened fifth.		[[Rodan]] is an extension to slendric which finds 5/4 at 17 generators up, or the submajor third in the notation provided, and is tuned with a slightly sharpened fifth.

	~~{{Todo\| unify precision }}~~		==== Guiron ====
			[[Guiron]] is an extension to slendric which finds 5/4 at 24 generators down (diminished fourth), tempering out the [[schisma]].

			[[Category:Ploidacot]]

VectorGraphics at 23:28, 25 October 2025

2025-10-25T23:28:51Z

← Older revision		Revision as of 23:28, 25 October 2025
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	{{Breadcrumb}}{{Infobox ploidacot\|Ploids=1\|Shears=0\|Cots=3\|Pergen=[P8, P5/3]\|Forms=5, 11, 16\|Title=Tricot}}'''Tricot''' is a temperament archetype where the generator is a supermajor second, three of which stack to form a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tricot temperaments usually generate the [[5L 1s]] and [[5L 6s]] MOS structures. Tricot temperaments produce "supermajor" and "subminor" intervals, splitting the diatonic semitone into three parts.		{{Breadcrumb}}{{Infobox ploidacot\|Ploids=1\|Shears=0\|Cots=3\|Pergen=[P8, P5/3]\|Forms=5, 11, 16\|Title=Tricot\|Wedgie=3}}'''Tricot''' is a temperament archetype where the generator is a supermajor second, three of which stack to form a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tricot temperaments usually generate the [[5L 1s]] and [[5L 6s]] MOS structures. Tricot temperaments produce "supermajor" and "subminor" intervals, splitting the diatonic semitone into three parts.

	== Notation ==		== Notation ==

ArrowHead294 at 15:55, 9 September 2025

2025-09-09T15:55:57Z

← Older revision		Revision as of 15:55, 9 September 2025
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	{{Breadcrumb}}{{Infobox ploidacot\|Ploids=1\|Shears=0\|Cots=3\|Pergen=[P8, P5/3]\|Forms=5, 11, 16\|Title=Tricot}}'''Tricot''' is a temperament archetype where the generator is a supermajor second, three of which stack to form a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tricot temperaments usually generate the [[5L 1s]] and [[5L 6s]] MOS structures. Tricot temperaments produce "supermajor" and "subminor" intervals, splitting the diatonic semitone into three parts.		{{Breadcrumb}}{{Infobox ploidacot\|Ploids=1\|Shears=0\|Cots=3\|Pergen=[P8, P5/3]\|Forms=5, 11, 16\|Title=Tricot}}'''Tricot''' is a temperament archetype where the generator is a supermajor second, three of which stack to form a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tricot temperaments usually generate the [[5L 1s]] and [[5L 6s]] MOS structures. Tricot temperaments produce "supermajor" and "subminor" intervals, splitting the diatonic semitone into three parts.

	== Notation ==		== Notation ==

ArrowHead294: Markup formatting

2025-09-09T15:41:56Z

Markup formatting

← Older revision		Revision as of 15:41, 9 September 2025
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	== Notation ==		== Notation ==
	While there is no agreed-upon notation system for tricot, the following is based on interpreting the generator as a supermajor second. ^^C and vDb are enharmonic.		While there is no agreed-upon notation system for tricot, the following is based on interpreting the generator as a supermajor second. ^^C and vDb are enharmonic.

	{\| class="wikitable"		{\| class="wikitable"
	\|+Tricot intervals (assuming pure fifth and octave)		\|+ style="font-size: 105%;" \| Tricot intervals (assuming pure fifth and octave)
	!#		\|-
	!Cents		! #
	!Notation		! Cents
	!Name		! Notation
			! Name
	\|-		\|-
	\| -9		\| −9
	\|294.135		\| 294.135
	\|Eb		\| Eb
	\|minor third		\| minor third
	\|-		\|-
	\| -8		\| −8
	\|528.12		\| 528.12
	\|^F		\| ^F
	\|superfourth		\| superfourth
	\|-		\|-
	\| -7		\| −7
	\|762.105		\| 762.105
	\|vAb		\| vAb
	\|subminor sixth		\| subminor sixth
	\|-		\|-
	\| -6		\| −6
	\|996.09		\| 996.09
	\|Bb		\| Bb
	\|minor seventh		\| minor seventh
	\|-		\|-
	\| -5		\| −5
	\|30.075		\| 30.075
	\|^C		\| ^C
	\|superunison		\| superunison
	\|-		\|-
	\| -4		\| −4
	\|264.06		\| 264.06
	\|vEb		\| vEb
	\|subminor third		\| subminor third
	\|-		\|-
	\| -3		\| −3
	\|498.045		\| 498.045
	\|F		\| F
	\|perfect fourth		\| perfect fourth
	\|-		\|-
	\| -2		\| −2
	\|732.03		\| 732.03
	\|^G		\| ^G
	\|superfifth		\| superfifth
	\|-		\|-
	\| -1		\| −1
	\|966.015		\| 966.015
	\|vBb		\| vBb
	\|subminor seventh		\| subminor seventh
	\|-		\|-
	\|0		\| 0
	\|0		\| 0
	\|C		\| C
	\|perfect unison / perfect octave		\| perfect unison / perfect octave
	\|-		\|-
	\|1		\| 1
	\|233.985		\| 233.985
	\|^D		\| ^D
	\|supermajor second		\| supermajor second
	\|-		\|-
	\|2		\| 2
	\|467.97		\| 467.97
	\|vF		\| vF
	\|subfourth		\| subfourth
	\|-		\|-
	\|3		\| 3
	\|701.955		\| 701.955
	\|G		\| G
	\|perfect fifth		\| perfect fifth
	\|-		\|-
	\|4		\| 4
	\|935.94		\| 935.94
	\|^A		\| ^A
	\|supermajor sixth		\| supermajor sixth
	\|-		\|-
	\|5		\| 5
	\|1169.925		\| 1169.925
	\|vC		\| vC
	\|suboctave		\| suboctave
	\|-		\|-
	\|6		\| 6
	\|203.91		\| 203.91
	\|D		\| D
	\|major second		\| major second
	\|-		\|-
	\|7		\| 7
	\|437.895		\| 437.895
	\|^E		\| ^E
	\|supermajor third		\| supermajor third
	\|-		\|-
	\|8		\| 8
	\|671.88		\| 671.88
	\|vG		\| vG
	\|subfifth		\| subfifth
	\|-		\|-
	\|9		\| 9
	\|905.865		\| 905.865
	\|A		\| A
	\|major sixth		\| major sixth
	\|}		\|}

	A notable feature of tricot is the small diesis, known as the [[quark]], encountered after 5 steps, which represents one-third of a [[diatonic semitone]]. This makes tricot scales cluster around [[5edo]].		A notable feature of tricot is the small diesis, known as the [[quark]], encountered after 5 steps, which represents one-third of a [[diatonic semitone]]. This makes tricot scales cluster around [[5edo]].

	== Temperament interpretations ==		== Temperament interpretations ==

	=== Slendric ===		=== Slendric ===
	[[Slendric]] is the most obvious [[7-limit]] interpretation of tricot, where the generator is [[8/7]] and three of them stack to make [[3/2]]. It is best tuned with a slightly flattened 3/2, or equivalently a slightly sharpened 8/7, but the just tuning of either works.		[[Slendric]] is the most obvious [[7-limit]] interpretation of tricot, where the generator is [[8/7]] and three of them stack to make [[3/2]]. It is best tuned with a slightly flattened 3/2, or equivalently a slightly sharpened 8/7, but the just tuning of either works.

Lériendil: /* Slendric */

2025-09-09T07:01:55Z

Slendric

← Older revision		Revision as of 07:01, 9 September 2025
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	=== Slendric ===		=== Slendric ===
	[[Slendric]] is the most obvious 7-limit interpretation of tricot, where the generator is 8/7 and three of them stack to make 3/2. It is best tuned with a slightly flattened 3/2, or equivalently a slightly sharpened 8/7, but the just tuning of either works.		[[Slendric]] is the most obvious [[7-limit]] interpretation of tricot, where the generator is [[8/7]] and three of them stack to make [[3/2]]. It is best tuned with a slightly flattened 3/2, or equivalently a slightly sharpened 8/7, but the just tuning of either works.

	==== Mothra ====		==== Mothra ====
	[[Mothra]] is an extension to slendric which tempers out [[81/80\|the syntonic comma]], flattening the [[3/2]] further so that the major third is [[5/4]].		[[Mothra]] is an extension to slendric which tempers out [[81/80\|the syntonic comma]], flattening the 3/2 further so that the major third is [[5/4]].

	==== Rodan ====		==== Rodan ====

Lériendil: /* Temperament interpretations */

2025-09-09T06:59:19Z

Temperament interpretations

← Older revision		Revision as of 06:59, 9 September 2025
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	==== Rodan ====		==== Rodan ====
	[[Rodan]] is an extension to slendric which finds 5/4 at 17 generators up, or the submajor third in the notation provided.		[[Rodan]] is an extension to slendric which finds 5/4 at 17 generators up, or the submajor third in the notation provided, and is tuned with a slightly sharpened fifth.

	{{Todo\| unify precision }}		{{Todo\| unify precision }}

Lériendil at 06:58, 9 September 2025

2025-09-09T06:58:55Z

← Older revision		Revision as of 06:58, 9 September 2025
Line 113:		Line 113:

	==== Mothra ====		==== Mothra ====
	Mothra is an extension to slendric which tempers out the syntonic comma, flattening the [[3/2]] further so that the major third is [[5/4]].		[[Mothra]] is an extension to slendric which tempers out [[81/80\|the syntonic comma]], flattening the [[3/2]] further so that the major third is [[5/4]].

	==== Rodan ====		==== Rodan ====
	Rodan is an extension to slendric which finds 5/4 at 17 generators up, or the submajor third in the notation provided.		[[Rodan]] is an extension to slendric which finds 5/4 at 17 generators up, or the submajor third in the notation provided.

	{{Todo\| unify precision }}		{{Todo\| unify precision }}