Marvel temperaments - Revision history

FloraC: Undo (see talk)

2026-05-02T10:20:00Z

Undo (see talk)

← Older revision		Revision as of 10:20, 2 May 2026
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	Temperaments considered in families and clans are:		Temperaments considered in families and clans are:
	* ''[[Pelogic]]'' → [[Mavila family #Pelogic\|Mavila family]] ~~(+21/20 or 135/128, generated by the fifth with 5/4 mapped to the m3)~~		* ''[[Pelogic]]'' (+21/20 or 135/128) → [[Mavila family #Pelogic\|Mavila family]]
	* [[Meantone]] → [[Meantone family #Septimal meantone\|Meantone family]] ~~(+81/80 or 126/125, generated by the fifth with 5/4 mapped to the M3)~~		* [[Meantone]] (+81/80 or 126/125) → [[Meantone family #Septimal meantone\|Meantone family]]
	* [[Garibaldi]] → [[Schismatic family #Garibaldi\|Schismatic family]] ~~(+3125/3087, generated by the fifth with 5/4 mapped to the d4)~~		* [[Garibaldi]] (+3125/3087) → [[Schismatic family #Garibaldi\|Schismatic family]]
	* [[Pajara]] → [[Diaschismic family #Pajara\|Diaschismic family]] ~~(+50/49 or 64/63, generated by the fifth with a semioctave period)~~		* [[Pajara]] (+50/49 or 64/63) → [[Diaschismic family #Pajara\|Diaschismic family]]
	* ''[[Sharpie]]'' → [[Dicot family #Sharpie\|Dicot family]] ~~(+25/24 or 28/27, fifth sliced in two)~~		* ''[[Sharpie]]'' (+25/24 or 28/27) → [[Dicot family #Sharpie\|Dicot family]]
	* ''[[Immune]]'' → [[Immunity family #Immune\|Immunity family]] ~~(+781250/750141, twelfth sliced in two)~~		* ''[[Immune]]'' (+781250/750141) → [[Immunity family #Immune\|Immunity family]]
	* ''[[August]]'' → [[Augmented family #August\|Augmented family]] ~~(+36/35 or 128/125, generated by the fifth with a 1/3-octave period)~~		* ''[[August]]'' (+36/35 or 128/125) → [[Augmented family #August\|Augmented family]]
	* ''[[Fog]]'' → [[Misty family #Fog\|Misty family]] (+~~156250/151263, generated by the fifth with a 1~~/~~3-octave period~~)		* ''[[Fog]]'' (+156250/151263) → [[Misty family #Fog\|Misty family]]
	* [[Negri]] → [[~~Slendro~~ clan #Negri\|~~Slendro~~ clan]] ~~(+49/48, fourth sliced in four)~~		* [[Bunya]] (+15625/15309) → [[Tetracot family #Bunya\|Tetracot family]]
	* [[Magic]] → [[Magic family #Magic\|Magic family]] ~~(+245/243, twelfth sliced in five)~~		* [[Negri]] (+49/48) → [[Semaphoresmic clan #Negri\|Semaphoresmic clan]]
	* ''[[Passive]]'' → [[Passion family #Passive\|Passion family]] ~~(+256/245, fourth sliced in five)~~		* [[Magic]] (+245/243) → [[Magic family #Magic\|Magic family]]
	* ''[[Quintapole]]'' → [[Quintaleap family #Quintapole\|Quintaleap family]] ~~(+7812500/7411887, fourth sliced in five)~~		* ''[[Passive]]'' (+256/245) → [[Passion family #Passive\|Passion family]]
	* ''[[Houborizic]]'' → [[Amity family #Houborizic\|Amity family]] ~~(+1250000/1240029, eleventh sliced in five)~~		* ''[[Quintapole]]'' (+7812500/7411887) → [[Quintaleap family #Quintapole\|Quintaleap family]]
	* ''[[Qintosec]]'' → [[Quintosec family #Qintosec\|Quintosec family]] ~~(+2560000/2470629, generated by the classical minor second with a 1/5-octave period)~~		* ''[[Houborizic]]'' (+1250000/1240029) → [[Amity family #Houborizic\|Amity family]]
	* [[Miracle]] → [[Gamelismic clan #Miracle\|Gamelismic clan]] ~~(+1029/1024, fifth sliced in six)~~		* ''[[Qintosec]]'' (+2560000/2470629) → [[Quintosec family #Qintosec\|Quintosec family]]
	* [[Catakleismic]] → [[Kleismic family #Catakleismic\|Kleismic family]] ~~(+4375/4374, twelfth sliced in six)~~		* [[Miracle]] (+1029/1024) → [[Gamelismic clan #Miracle\|Gamelismic clan]]
	* ''[[Marvo]]'' → [[Gravity family #Marvo\|Gravity family]] ~~(+78125000/78121827, two octaves and a fifth sliced in six)~~		* [[Catakleismic]] (+4375/4374) → [[Kleismic family #Catakleismic\|Kleismic family]]
	* [[Orwell]] → [[Semicomma family #Orwell\|Semicomma family]] ~~(+1728/1715, twelfth sliced in seven)~~		* ''[[Marvo]]'' (+78125000/78121827) → [[Gravity family #Marvo\|Gravity family]]
	* ''[[Snipes]]'' → [[Wesley family #Snipes\|Wesley family]] ~~(+6125/5832, two octaves and a fourth sliced in seven)~~		* [[Orwell]] (+1728/1715) → [[Semicomma family #Orwell\|Semicomma family]]
	* ''[[~~Submajor~~]]'' → [[Buzzardsmic clan #~~Submajor~~\|Buzzardsmic clan]] ~~(+65536/64827, two octaves and a fourth sliced in eight)~~		* ''[[Snipes]]'' (+6125/5832) → [[Wesley family #Snipes\|Wesley family]]
	* ''[[Escapist]]'' → [[Escapade family #Escapist\|Escapade family]] ~~(+65625/65536, fourth sliced in nine)~~		* ''[[Demibuzzard]]'' (+65536/64827) → [[Buzzardsmic clan #Demibuzzard\|Buzzardsmic clan]]
	* ''[[Decic]]'' → [[Cloudy clan #Decic\|Cloudy clan]] ~~(+16807/16384, generated by the fifth with a 1/10-octave period)~~		* ''[[Escapist]]'' (+65625/65536) → [[Escapade family #Escapist\|Escapade family]]
	* ''[[Amavil]]'' → [[Mabila family #Amavil\|Mabila family]] ~~(+17496/16807, four octaves and a fourth sliced in ten)~~		* ''[[Decic]]'' (+16807/16384) → [[Cloudy clan #Decic\|Cloudy clan]]
	* ''[[Betic]]'' → [[Sycamore family #Betic\|Sycamore family]] ~~(+1071875/1062882, fifth sliced in eleven)~~		* ''[[Amavil]]'' (+17496/16807) → [[Mabila family #Amavil\|Mabila family]]
	* ''[[Hendeca]]'' → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]] ~~(+122880/117649, generated by the fifth with a 1/11-octave period)~~		* ''[[Betic]]'' (+1071875/1062882) → [[Sycamore family #Betic\|Sycamore family]]
	* ''[[Compton]]'' → [[Compton family #Compton\|Compton family]] ~~(+250047/250000, generated by the classical major third with a 1/12-octave period)~~		* ''[[Hendeca]]'' (+122880/117649) → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]]
	* ''[[Raccoon]]'' → [[Vavoom family #Raccoon\|Vavoom family]] ~~(+41943040/40353607, twelfth sliced in seventeen)~~		* [[Compton]] (+250047/250000) → [[Compton family #Compton\|Compton family]]
	* ''[[Maquila]]'' → [[Maquila family #Septimal maquila\|Maquila family]] ~~(+30233088/28824005, seven octaves and a fifth sliced in seventeen)~~		* ''[[Raccoon]]'' (+41943040/40353607) → [[Vavoom family #Raccoon\|Vavoom family]]
	* ''[[Gammy]]'' → [[Gammic family #Gammy\|Gammic family]] ~~(+94143178827/91913281250, fifth sliced in twenty)~~		* ''[[Maquila]]'' (+30233088/28824005) → [[Maquila family #Septimal maquila\|Maquila family]]
			* ''[[Gammy]]'' (+94143178827/91913281250) → [[Gammic family #Gammy\|Gammic family]]

	Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].		Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].

Godtone: this edit is exactly the kind of thing i saw ppl complaining about as due to unreadability of just stating a comma without knowing what it does, let alone in the context of the restrictions of some other set of commas. at least improve on or reword the info rather than erasing it

2026-05-01T14:06:34Z

this edit is exactly the kind of thing i saw ppl complaining about as due to unreadability of just stating a comma without knowing what it does, let alone in the context of the restrictions of some other set of commas. at least improve on or reword the info rather than erasing it

← Older revision		Revision as of 14:06, 1 May 2026
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	Temperaments considered in families and clans are:		Temperaments considered in families and clans are:
	* ''[[Pelogic]]'' ~~(+21/20 or 135/128)~~ → [[Mavila family #Pelogic\|Mavila family]]		* ''[[Pelogic]]'' → [[Mavila family #Pelogic\|Mavila family]] (+21/20 or 135/128, generated by the fifth with 5/4 mapped to the m3)
	* [[Meantone]] ~~(+81/80 or 126/125)~~ → [[Meantone family #Septimal meantone\|Meantone family]]		* [[Meantone]] → [[Meantone family #Septimal meantone\|Meantone family]] (+81/80 or 126/125, generated by the fifth with 5/4 mapped to the M3)
	* [[Garibaldi]] ~~(+3125/3087)~~ → [[Schismatic family #Garibaldi\|Schismatic family]]		* [[Garibaldi]] → [[Schismatic family #Garibaldi\|Schismatic family]] (+3125/3087, generated by the fifth with 5/4 mapped to the d4)
	* [[Pajara]] ~~(+50/49 or 64/63)~~ → [[Diaschismic family #Pajara\|Diaschismic family]]		* [[Pajara]] → [[Diaschismic family #Pajara\|Diaschismic family]] (+50/49 or 64/63, generated by the fifth with a semioctave period)
	* ''[[Sharpie]]'' ~~(+25/24 or 28/27)~~ → [[Dicot family #Sharpie\|Dicot family]]		* ''[[Sharpie]]'' → [[Dicot family #Sharpie\|Dicot family]] (+25/24 or 28/27, fifth sliced in two)
	* ''[[Immune]]'' ~~(+781250/750141)~~ → [[Immunity family #Immune\|Immunity family]]		* ''[[Immune]]'' → [[Immunity family #Immune\|Immunity family]] (+781250/750141, twelfth sliced in two)
	* ''[[August]]'' ~~(+36/35 or 128/125)~~ → [[Augmented family #August\|Augmented family]]		* ''[[August]]'' → [[Augmented family #August\|Augmented family]] (+36/35 or 128/125, generated by the fifth with a 1/3-octave period)
	* ''[[Fog]]'' ~~(+156250/151263)~~ → [[Misty family #Fog\|Misty family]]		* ''[[Fog]]'' → [[Misty family #Fog\|Misty family]] (+156250/151263, generated by the fifth with a 1/3-octave period)
	* [[Bunya]] (+~~15625~~/~~15309~~) ~~→ [[Tetracot family #Bunya\|Tetracot family]]~~		* [[Negri]] → [[Slendro clan #Negri\|Slendro clan]] (+49/48, fourth sliced in four)
	* [[Negri]] ~~(+49/48)~~ → [[~~Semaphoresmic~~ clan #Negri\|~~Semaphoresmic~~ clan]]		* [[Magic]] → [[Magic family #Magic\|Magic family]] (+245/243, twelfth sliced in five)
	* [[Magic]] ~~(+245/243)~~ → [[Magic family #Magic\|Magic family]]		* ''[[Passive]]'' → [[Passion family #Passive\|Passion family]] (+256/245, fourth sliced in five)
	* ''[[Passive]]'' ~~(+256/245)~~ → [[Passion family #Passive\|Passion family]]		* ''[[Quintapole]]'' → [[Quintaleap family #Quintapole\|Quintaleap family]] (+7812500/7411887, fourth sliced in five)
	* ''[[Quintapole]]'' ~~(+7812500/7411887)~~ → [[Quintaleap family #Quintapole\|Quintaleap family]]		* ''[[Houborizic]]'' → [[Amity family #Houborizic\|Amity family]] (+1250000/1240029, eleventh sliced in five)
	* ''[[Houborizic]]'' ~~(+1250000/1240029)~~ → [[Amity family #Houborizic\|Amity family]]		* ''[[Qintosec]]'' → [[Quintosec family #Qintosec\|Quintosec family]] (+2560000/2470629, generated by the classical minor second with a 1/5-octave period)
	* ''[[Qintosec]]'' ~~(+2560000/2470629)~~ → [[Quintosec family #Qintosec\|Quintosec family]]		* [[Miracle]] → [[Gamelismic clan #Miracle\|Gamelismic clan]] (+1029/1024, fifth sliced in six)
	* [[Miracle]] ~~(+1029/1024)~~ → [[Gamelismic clan #Miracle\|Gamelismic clan]]		* [[Catakleismic]] → [[Kleismic family #Catakleismic\|Kleismic family]] (+4375/4374, twelfth sliced in six)
	* [[Catakleismic]] ~~(+4375/4374)~~ → [[Kleismic family #Catakleismic\|Kleismic family]]		* ''[[Marvo]]'' → [[Gravity family #Marvo\|Gravity family]] (+78125000/78121827, two octaves and a fifth sliced in six)
	* ''[[Marvo]]'' ~~(+78125000/78121827)~~ → [[Gravity family #Marvo\|Gravity family]]		* [[Orwell]] → [[Semicomma family #Orwell\|Semicomma family]] (+1728/1715, twelfth sliced in seven)
	* [[Orwell]] ~~(+1728/1715)~~ → [[Semicomma family #Orwell\|Semicomma family]]		* ''[[Snipes]]'' → [[Wesley family #Snipes\|Wesley family]] (+6125/5832, two octaves and a fourth sliced in seven)
	* ''[[Snipes]]'' ~~(+6125/5832)~~ → [[Wesley family #Snipes\|Wesley family]]		* ''[[Submajor]]'' → [[Buzzardsmic clan #Submajor\|Buzzardsmic clan]] (+65536/64827, two octaves and a fourth sliced in eight)
	* ''[[~~Demibuzzard~~]]'' ~~(+65536/64827)~~ → [[Buzzardsmic clan #~~Demibuzzard~~\|Buzzardsmic clan]]		* ''[[Escapist]]'' → [[Escapade family #Escapist\|Escapade family]] (+65625/65536, fourth sliced in nine)
	* ''[[Escapist]]'' ~~(+65625/65536)~~ → [[Escapade family #Escapist\|Escapade family]]		* ''[[Decic]]'' → [[Cloudy clan #Decic\|Cloudy clan]] (+16807/16384, generated by the fifth with a 1/10-octave period)
	* ''[[Decic]]'' ~~(+16807/16384)~~ → [[Cloudy clan #Decic\|Cloudy clan]]		* ''[[Amavil]]'' → [[Mabila family #Amavil\|Mabila family]] (+17496/16807, four octaves and a fourth sliced in ten)
	* ''[[Amavil]]'' ~~(+17496/16807)~~ → [[Mabila family #Amavil\|Mabila family]]		* ''[[Betic]]'' → [[Sycamore family #Betic\|Sycamore family]] (+1071875/1062882, fifth sliced in eleven)
	* ''[[Betic]]'' ~~(+1071875/1062882)~~ → [[Sycamore family #Betic\|Sycamore family]]		* ''[[Hendeca]]'' → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]] (+122880/117649, generated by the fifth with a 1/11-octave period)
	* ''[[Hendeca]]'' ~~(+122880/117649)~~ → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]]		* ''[[Compton]]'' → [[Compton family #Compton\|Compton family]] (+250047/250000, generated by the classical major third with a 1/12-octave period)
	* [[Compton]] ~~(+250047/250000)~~ → [[Compton family #Compton\|Compton family]]		* ''[[Raccoon]]'' → [[Vavoom family #Raccoon\|Vavoom family]] (+41943040/40353607, twelfth sliced in seventeen)
	* ''[[Raccoon]]'' ~~(+41943040/40353607)~~ → [[Vavoom family #Raccoon\|Vavoom family]]		* ''[[Maquila]]'' → [[Maquila family #Septimal maquila\|Maquila family]] (+30233088/28824005, seven octaves and a fifth sliced in seventeen)
	* ''[[Maquila]]'' ~~(+30233088/28824005)~~ → [[Maquila family #Septimal maquila\|Maquila family]]		* ''[[Gammy]]'' → [[Gammic family #Gammy\|Gammic family]] (+94143178827/91913281250, fifth sliced in twenty)
	* ''[[Gammy]]'' ~~(+94143178827/91913281250)~~ → [[Gammic family #Gammy\|Gammic family]]

	Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].		Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].

FloraC: + link to bunya and other update

2026-04-15T18:56:53Z

+ link to bunya and other update

FloraC: - over-elaborate descriptions for each temp. They don't look well.

2026-04-15T18:54:16Z

- over-elaborate descriptions for each temp. They don't look well.

FloraC: /* Triton */ link

2026-03-16T11:55:29Z

Triton: link

← Older revision		Revision as of 11:55, 16 March 2026
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	== Triton ==		== Triton ==
	: ''For the 5-limit version, see [[~~Miscellaneous 5-limit temperaments~~ #Stump]].''		: ''For the 5-limit version, see [[Syntonic–kleismic equivalence continuum #Stump]].''

	Triton may be described as the {{nowrap\| 19 & 21 }} temperament. Like [[#Tritonic\|tritonic]], it is generated by a [[~]][[10/7]] [[tritone]], but here, three generator steps give the [[interval class]] of [[3/1\|3]]. The [[ploidacot]] for this temperament is alpha-tricot.		Triton may be described as the {{nowrap\| 19 & 21 }} temperament. Like [[#Tritonic\|tritonic]], it is generated by a [[~]][[10/7]] [[tritone]], but here, three generator steps give the [[interval class]] of [[3/1\|3]]. The [[ploidacot]] for this temperament is alpha-tricot.

FloraC: + another source

2026-03-04T11:08:09Z

+ another source

← Older revision		Revision as of 11:08, 4 March 2026
Line 1,152:		Line 1,152:
	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Tertiosec]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Tertiosec]].''

	Tertiosec may be described as the {{nowrap\| 21 & 75 }} temperament. It was initially named ''tertiomar'' by [[Petr Pařízek]] in 2011<ref name="petr's long post"/>, but was changed to ''tertiosec''.		Tertiosec may be described as the {{nowrap\| 21 & 75 }} temperament. It was initially named ''tertiomar'' by [[Petr Pařízek]] in 2011<ref name="petr's long post"/>, but was changed to ''tertiosec'' in 2012<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104268.html Yahoo! Tuning Group \| ''2D temperament names, part I -- reclassified temperaments from message #101780'']</ref>.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

FloraC: + mermaid, an alternative merman extension

2026-02-23T11:21:26Z

+ mermaid, an alternative merman extension

@@ Line 387: / Line 387: @@
 Badness (Sintel): 1.20
-=== 13-limit ===
+==== 13-limit ====
 Subgroup: 2.3.5.7.11.13
@@ Line 401: / Line 401: @@
 Badness (Sintel): 1.14
 == Slender ==

FloraC: List of temps

2026-02-22T14:47:57Z

List of temps

← Older revision		Revision as of 14:47, 22 February 2026
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	* ''[[Gammy]]'' → [[Gammic family #Gammy\|Gammic family]] (+94143178827/91913281250, fifth sliced in twenty)		* ''[[Gammy]]'' → [[Gammic family #Gammy\|Gammic family]] (+94143178827/91913281250, fifth sliced in twenty)

	Considered below are wizard, tritonic, septimin, slender, triton~~, merman~~, marvolo, ~~amavil~~, ~~enneaportent~~, alphorn, ~~tertiosec~~, gwazy, and ~~gracecordial~~.		Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].

	Since {{nowrap\|(5/4)<sup>2</sup> {{=}} (225/224)⋅(14/9)}}, these temperaments tend to have a relatively small complexity for 5/4. They also possess a version of the augmented triad where each third approximates either 5/4 or 9/7. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as two stacked major thirds and a diminished fourth, which is what it is in meantone, than as the modern version of three stacked very sharp major thirds.		Since {{nowrap\|(5/4)<sup>2</sup> {{=}} (225/224)⋅(14/9)}}, these temperaments tend to have a relatively small complexity for 5/4. They also possess a version of the augmented triad where each third approximates either 5/4 or 9/7. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as two stacked major thirds and a diminished fourth, which is what it is in meantone, than as the modern version of three stacked very sharp major thirds.

FloraC: Intro to certain entries

2026-02-22T14:44:15Z

Intro to certain entries

← Older revision		Revision as of 14:44, 22 February 2026
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	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Wizard]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Wizard]].''

	Wizard has a semi-octave period and is generated by an interval that ~~is best~~ treated as ~17/15. The semi-octave complement of this interval is ~5/4. Wizard can be described as {{nowrap\| 22 & 72 }}. Its ploidacot is diploid alpha-hexacot, so six generator steps plus a semi-octave period gives the [[3/1\|perfect twelfth]]. [[72edo]], [[94edo]], and especially [[166edo]] are good tunings for it.		Wizard has a [[semi-octave]] period and is generated by an interval that can be treated as [[~]][[17/15]]. The semi-octave complement of this interval is ~[[5/4]]. Wizard can be described as {{nowrap\| 22 & 72 }}. Its [[ploidacot]] is diploid alpha-hexacot, so six generator steps plus a semi-octave period gives the [[3/1\|perfect twelfth]]. [[72edo]], [[94edo]], and especially [[166edo]] are good tunings for it.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Tritonic ==		== Tritonic ==
	: ''For the 5-limit version ~~of this temperament~~, see [[Miscellaneous 5-limit temperaments #Tritonic]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Tritonic]].''

			Tritonic tempers out [[50421/50000]] and may be described as the {{nowrap\| 29 & 31 }} temperament. It splits the [[6/1\|6th]] [[harmonic]] into five generators of [[~]][[10/7]] [[tritone]]s, hence the name. Its [[ploidacot]] is beta-pentacot. [[60edo]] may be used as a tuning, which in the 11-limit entails the 60e val.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Septimin ==		== Septimin ==
	: ''For the 5-limit version ~~of this temperament~~, see [[Miscellaneous 5-limit temperaments #Septimin]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Septimin]].''

			Septimin may be described as the {{nowrap\| 41 & 50 }} temperament. It is generated by a septimal minor third ([[7/6]]), which gives rise to the name, but the generator can be taken to be the [[octave complement]], [[12/7]], such that eleven of them [[octave reduction\|octave reduced]] give the [[3/2\|perfect fifth]]; its [[ploidacot]] is thus eta-hendecacot. [[91edo]] may be recommended as a tuning.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Merman ==		== Merman ==
	: ''For the 5-limit version ~~of this temperament~~, see [[Miscellaneous 5-limit temperaments #Merman]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Merman]].''

			Merman may be described as the {{nowrap\| 41 & 43 }} temperament. Like [[#Tritonic\|tritonic]], it is generated by a [[~]][[10/7]] [[tritone]], but here, seven generator steps give the [[interval class]] of [[3/1\|3]]. The [[ploidacot]] for this temperament is gamma-heptacot.

			The name was likely derived from {{w\|Triton (mythology)\|''Triton''}}, which was in turn derived from ''tritonic''.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Slender ==		== Slender ==
	Slender ~~({{nowrap\| 31 & 32 }})~~ tempers out the [[hewuermera comma]] in addition to the marvel comma. This temperament has a generator of [[49/48]], 3 of which equal marvel's 16/15~15/14, and 10 generators is 5/4.		Slender tempers out the [[hewuermera comma]] in addition to the marvel comma, and may be described as the {{nowrap\| 31 & 32 }} temperament. This temperament has a generator of [[49/48]], three of which equal marvel's [[16/15]][[~]][[15/14]], and ten generators give [[5/4]]. Its [[ploidacot]] is omega-13-cot.

			The name was likely derived from ''slendro diesis'', one of the names for the interval 49/48.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Triton ==		== Triton ==
	: ''For the 5-limit version ~~of this temperament~~, see [[Miscellaneous 5-limit temperaments #Stump]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Stump]].''

			Triton may be described as the {{nowrap\| 19 & 21 }} temperament. Like [[#Tritonic\|tritonic]], it is generated by a [[~]][[10/7]] [[tritone]], but here, three generator steps give the [[interval class]] of [[3/1\|3]]. The [[ploidacot]] for this temperament is alpha-tricot.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
Line 606:		Line 618:

	== Gracecordial ==		== Gracecordial ==
	: ''For the 5-limit version ~~of this temperament~~, see [[Schismic–Pythagorean equivalence continuum #Gracecordial (5-limit)]].''		: ''For the 5-limit version, see [[Schismic–Pythagorean equivalence continuum #Gracecordial (5-limit)]].''

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
Line 824:		Line 836:

	== Misneb ==		== Misneb ==
	: ''For the 5-limit version ~~of this temperament~~, see [[Miscellaneous 5-limit temperaments #Misneb]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Misneb]].''

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
Line 889:		Line 901:

	== Untriton ==		== Untriton ==
	: ''For the 5-limit version ~~of this temperament~~, see [[Miscellaneous 5-limit temperaments #Untriton]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Untriton]].''

			Named by [[Petr Pařízek]] in 2011<ref name="petr's long post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group \| ''Suggested names for the unclasified temperaments'']</ref>, untriton may be described as the {{nowrap\| 51 & 53 }} temperament. Like [[#Tritonic\|tritonic]], it is generated by a [[~]][[10/7]] [[tritone]], but here, nine generator steps give the [[interval class]] of [[3/1\|3]]. The [[ploidacot]] for this temperament is delta-enneacot.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
Line 939:		Line 953:

	== Naiadical ==		== Naiadical ==
			Named by [[Xenllium]] in 2026, naiadical may be described as the {{nowrap\| 21 & 29 }} temperament.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

Line 1,002:		Line 1,018:

	== Quintannic ==		== Quintannic ==
			Named by [[Scott Dakota]], quintannic may be described as the {{nowrap\| 43 & 60 }} temperament.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

Line 1,065:		Line 1,083:

	== Gwazy ==		== Gwazy ==
	~~{{See also\|~~ Very high accuracy temperaments #Kwazy }}		: ''For the 5-limit version, see [[Very high accuracy temperaments #Kwazy]].''

			Named by [[Petr Pařízek]] in 2011<ref name="petr's long post"/>, gwazy may be described as the {{nowrap\| 22 & 74 }} temperament.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
Line 1,101:		Line 1,121:
	== Tertiosec ==		== Tertiosec ==
	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Tertiosec]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Tertiosec]].''

			Tertiosec may be described as the {{nowrap\| 21 & 75 }} temperament. It was initially named ''tertiomar'' by [[Petr Pařízek]] in 2011<ref name="petr's long post"/>, but was changed to ''tertiosec''.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
Line 1,133:		Line 1,155:

	Badness (Sintel): 5.74		Badness (Sintel): 5.74

			== References ==

	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	[[Category:Marvel temperaments\| ]] <!-- main article -->		[[Category:Marvel temperaments\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: - CTE & POTE tunings

2026-02-22T13:49:30Z

- CTE & POTE tunings

Show changes

← Older revision		Revision as of 10:20, 2 May 2026
Line 3:		Line 3:

	Temperaments considered in families and clans are:		Temperaments considered in families and clans are:
	* ''[[Pelogic]]'' → [[Mavila family #Pelogic\|Mavila family]] ~~(+21/20 or 135/128, generated by the fifth with 5/4 mapped to the m3)~~		* ''[[Pelogic]]'' (+21/20 or 135/128) → [[Mavila family #Pelogic\|Mavila family]]
	* [[Meantone]] → [[Meantone family #Septimal meantone\|Meantone family]] ~~(+81/80 or 126/125, generated by the fifth with 5/4 mapped to the M3)~~		* [[Meantone]] (+81/80 or 126/125) → [[Meantone family #Septimal meantone\|Meantone family]]
	* [[Garibaldi]] → [[Schismatic family #Garibaldi\|Schismatic family]] ~~(+3125/3087, generated by the fifth with 5/4 mapped to the d4)~~		* [[Garibaldi]] (+3125/3087) → [[Schismatic family #Garibaldi\|Schismatic family]]
	* [[Pajara]] → [[Diaschismic family #Pajara\|Diaschismic family]] ~~(+50/49 or 64/63, generated by the fifth with a semioctave period)~~		* [[Pajara]] (+50/49 or 64/63) → [[Diaschismic family #Pajara\|Diaschismic family]]
	* ''[[Sharpie]]'' → [[Dicot family #Sharpie\|Dicot family]] ~~(+25/24 or 28/27, fifth sliced in two)~~		* ''[[Sharpie]]'' (+25/24 or 28/27) → [[Dicot family #Sharpie\|Dicot family]]
	* ''[[Immune]]'' → [[Immunity family #Immune\|Immunity family]] ~~(+781250/750141, twelfth sliced in two)~~		* ''[[Immune]]'' (+781250/750141) → [[Immunity family #Immune\|Immunity family]]
	* ''[[August]]'' → [[Augmented family #August\|Augmented family]] ~~(+36/35 or 128/125, generated by the fifth with a 1/3-octave period)~~		* ''[[August]]'' (+36/35 or 128/125) → [[Augmented family #August\|Augmented family]]
	* ''[[Fog]]'' → [[Misty family #Fog\|Misty family]] (+~~156250/151263, generated by the fifth with a 1~~/~~3-octave period~~)		* ''[[Fog]]'' (+156250/151263) → [[Misty family #Fog\|Misty family]]
	* [[Negri]] → [[~~Slendro~~ clan #Negri\|~~Slendro~~ clan]] ~~(+49/48, fourth sliced in four)~~		* [[Bunya]] (+15625/15309) → [[Tetracot family #Bunya\|Tetracot family]]
	* [[Magic]] → [[Magic family #Magic\|Magic family]] ~~(+245/243, twelfth sliced in five)~~		* [[Negri]] (+49/48) → [[Semaphoresmic clan #Negri\|Semaphoresmic clan]]
	* ''[[Passive]]'' → [[Passion family #Passive\|Passion family]] ~~(+256/245, fourth sliced in five)~~		* [[Magic]] (+245/243) → [[Magic family #Magic\|Magic family]]
	* ''[[Quintapole]]'' → [[Quintaleap family #Quintapole\|Quintaleap family]] ~~(+7812500/7411887, fourth sliced in five)~~		* ''[[Passive]]'' (+256/245) → [[Passion family #Passive\|Passion family]]
	* ''[[Houborizic]]'' → [[Amity family #Houborizic\|Amity family]] ~~(+1250000/1240029, eleventh sliced in five)~~		* ''[[Quintapole]]'' (+7812500/7411887) → [[Quintaleap family #Quintapole\|Quintaleap family]]
	* ''[[Qintosec]]'' → [[Quintosec family #Qintosec\|Quintosec family]] ~~(+2560000/2470629, generated by the classical minor second with a 1/5-octave period)~~		* ''[[Houborizic]]'' (+1250000/1240029) → [[Amity family #Houborizic\|Amity family]]
	* [[Miracle]] → [[Gamelismic clan #Miracle\|Gamelismic clan]] ~~(+1029/1024, fifth sliced in six)~~		* ''[[Qintosec]]'' (+2560000/2470629) → [[Quintosec family #Qintosec\|Quintosec family]]
	* [[Catakleismic]] → [[Kleismic family #Catakleismic\|Kleismic family]] ~~(+4375/4374, twelfth sliced in six)~~		* [[Miracle]] (+1029/1024) → [[Gamelismic clan #Miracle\|Gamelismic clan]]
	* ''[[Marvo]]'' → [[Gravity family #Marvo\|Gravity family]] ~~(+78125000/78121827, two octaves and a fifth sliced in six)~~		* [[Catakleismic]] (+4375/4374) → [[Kleismic family #Catakleismic\|Kleismic family]]
	* [[Orwell]] → [[Semicomma family #Orwell\|Semicomma family]] ~~(+1728/1715, twelfth sliced in seven)~~		* ''[[Marvo]]'' (+78125000/78121827) → [[Gravity family #Marvo\|Gravity family]]
	* ''[[Snipes]]'' → [[Wesley family #Snipes\|Wesley family]] ~~(+6125/5832, two octaves and a fourth sliced in seven)~~		* [[Orwell]] (+1728/1715) → [[Semicomma family #Orwell\|Semicomma family]]
	* ''[[~~Submajor~~]]'' → [[Buzzardsmic clan #~~Submajor~~\|Buzzardsmic clan]] ~~(+65536/64827, two octaves and a fourth sliced in eight)~~		* ''[[Snipes]]'' (+6125/5832) → [[Wesley family #Snipes\|Wesley family]]
	* ''[[Escapist]]'' → [[Escapade family #Escapist\|Escapade family]] ~~(+65625/65536, fourth sliced in nine)~~		* ''[[Demibuzzard]]'' (+65536/64827) → [[Buzzardsmic clan #Demibuzzard\|Buzzardsmic clan]]
	* ''[[Decic]]'' → [[Cloudy clan #Decic\|Cloudy clan]] ~~(+16807/16384, generated by the fifth with a 1/10-octave period)~~		* ''[[Escapist]]'' (+65625/65536) → [[Escapade family #Escapist\|Escapade family]]
	* ''[[Amavil]]'' → [[Mabila family #Amavil\|Mabila family]] ~~(+17496/16807, four octaves and a fourth sliced in ten)~~		* ''[[Decic]]'' (+16807/16384) → [[Cloudy clan #Decic\|Cloudy clan]]
	* ''[[Betic]]'' → [[Sycamore family #Betic\|Sycamore family]] ~~(+1071875/1062882, fifth sliced in eleven)~~		* ''[[Amavil]]'' (+17496/16807) → [[Mabila family #Amavil\|Mabila family]]
	* ''[[Hendeca]]'' → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]] ~~(+122880/117649, generated by the fifth with a 1/11-octave period)~~		* ''[[Betic]]'' (+1071875/1062882) → [[Sycamore family #Betic\|Sycamore family]]
	* ''[[Compton]]'' → [[Compton family #Compton\|Compton family]] ~~(+250047/250000, generated by the classical major third with a 1/12-octave period)~~		* ''[[Hendeca]]'' (+122880/117649) → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]]
	* ''[[Raccoon]]'' → [[Vavoom family #Raccoon\|Vavoom family]] ~~(+41943040/40353607, twelfth sliced in seventeen)~~		* [[Compton]] (+250047/250000) → [[Compton family #Compton\|Compton family]]
	* ''[[Maquila]]'' → [[Maquila family #Septimal maquila\|Maquila family]] ~~(+30233088/28824005, seven octaves and a fifth sliced in seventeen)~~		* ''[[Raccoon]]'' (+41943040/40353607) → [[Vavoom family #Raccoon\|Vavoom family]]
	* ''[[Gammy]]'' → [[Gammic family #Gammy\|Gammic family]] ~~(+94143178827/91913281250, fifth sliced in twenty)~~		* ''[[Maquila]]'' (+30233088/28824005) → [[Maquila family #Septimal maquila\|Maquila family]]
			* ''[[Gammy]]'' (+94143178827/91913281250) → [[Gammic family #Gammy\|Gammic family]]

	Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].		Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].

← Older revision		Revision as of 14:06, 1 May 2026
Line 3:		Line 3:

	Temperaments considered in families and clans are:		Temperaments considered in families and clans are:
	* ''[[Pelogic]]'' ~~(+21/20 or 135/128)~~ → [[Mavila family #Pelogic\|Mavila family]]		* ''[[Pelogic]]'' → [[Mavila family #Pelogic\|Mavila family]] (+21/20 or 135/128, generated by the fifth with 5/4 mapped to the m3)
	* [[Meantone]] ~~(+81/80 or 126/125)~~ → [[Meantone family #Septimal meantone\|Meantone family]]		* [[Meantone]] → [[Meantone family #Septimal meantone\|Meantone family]] (+81/80 or 126/125, generated by the fifth with 5/4 mapped to the M3)
	* [[Garibaldi]] ~~(+3125/3087)~~ → [[Schismatic family #Garibaldi\|Schismatic family]]		* [[Garibaldi]] → [[Schismatic family #Garibaldi\|Schismatic family]] (+3125/3087, generated by the fifth with 5/4 mapped to the d4)
	* [[Pajara]] ~~(+50/49 or 64/63)~~ → [[Diaschismic family #Pajara\|Diaschismic family]]		* [[Pajara]] → [[Diaschismic family #Pajara\|Diaschismic family]] (+50/49 or 64/63, generated by the fifth with a semioctave period)
	* ''[[Sharpie]]'' ~~(+25/24 or 28/27)~~ → [[Dicot family #Sharpie\|Dicot family]]		* ''[[Sharpie]]'' → [[Dicot family #Sharpie\|Dicot family]] (+25/24 or 28/27, fifth sliced in two)
	* ''[[Immune]]'' ~~(+781250/750141)~~ → [[Immunity family #Immune\|Immunity family]]		* ''[[Immune]]'' → [[Immunity family #Immune\|Immunity family]] (+781250/750141, twelfth sliced in two)
	* ''[[August]]'' ~~(+36/35 or 128/125)~~ → [[Augmented family #August\|Augmented family]]		* ''[[August]]'' → [[Augmented family #August\|Augmented family]] (+36/35 or 128/125, generated by the fifth with a 1/3-octave period)
	* ''[[Fog]]'' ~~(+156250/151263)~~ → [[Misty family #Fog\|Misty family]]		* ''[[Fog]]'' → [[Misty family #Fog\|Misty family]] (+156250/151263, generated by the fifth with a 1/3-octave period)
	* [[Bunya]] (+~~15625~~/~~15309~~) ~~→ [[Tetracot family #Bunya\|Tetracot family]]~~		* [[Negri]] → [[Slendro clan #Negri\|Slendro clan]] (+49/48, fourth sliced in four)
	* [[Negri]] ~~(+49/48)~~ → [[~~Semaphoresmic~~ clan #Negri\|~~Semaphoresmic~~ clan]]		* [[Magic]] → [[Magic family #Magic\|Magic family]] (+245/243, twelfth sliced in five)
	* [[Magic]] ~~(+245/243)~~ → [[Magic family #Magic\|Magic family]]		* ''[[Passive]]'' → [[Passion family #Passive\|Passion family]] (+256/245, fourth sliced in five)
	* ''[[Passive]]'' ~~(+256/245)~~ → [[Passion family #Passive\|Passion family]]		* ''[[Quintapole]]'' → [[Quintaleap family #Quintapole\|Quintaleap family]] (+7812500/7411887, fourth sliced in five)
	* ''[[Quintapole]]'' ~~(+7812500/7411887)~~ → [[Quintaleap family #Quintapole\|Quintaleap family]]		* ''[[Houborizic]]'' → [[Amity family #Houborizic\|Amity family]] (+1250000/1240029, eleventh sliced in five)
	* ''[[Houborizic]]'' ~~(+1250000/1240029)~~ → [[Amity family #Houborizic\|Amity family]]		* ''[[Qintosec]]'' → [[Quintosec family #Qintosec\|Quintosec family]] (+2560000/2470629, generated by the classical minor second with a 1/5-octave period)
	* ''[[Qintosec]]'' ~~(+2560000/2470629)~~ → [[Quintosec family #Qintosec\|Quintosec family]]		* [[Miracle]] → [[Gamelismic clan #Miracle\|Gamelismic clan]] (+1029/1024, fifth sliced in six)
	* [[Miracle]] ~~(+1029/1024)~~ → [[Gamelismic clan #Miracle\|Gamelismic clan]]		* [[Catakleismic]] → [[Kleismic family #Catakleismic\|Kleismic family]] (+4375/4374, twelfth sliced in six)
	* [[Catakleismic]] ~~(+4375/4374)~~ → [[Kleismic family #Catakleismic\|Kleismic family]]		* ''[[Marvo]]'' → [[Gravity family #Marvo\|Gravity family]] (+78125000/78121827, two octaves and a fifth sliced in six)
	* ''[[Marvo]]'' ~~(+78125000/78121827)~~ → [[Gravity family #Marvo\|Gravity family]]		* [[Orwell]] → [[Semicomma family #Orwell\|Semicomma family]] (+1728/1715, twelfth sliced in seven)
	* [[Orwell]] ~~(+1728/1715)~~ → [[Semicomma family #Orwell\|Semicomma family]]		* ''[[Snipes]]'' → [[Wesley family #Snipes\|Wesley family]] (+6125/5832, two octaves and a fourth sliced in seven)
	* ''[[Snipes]]'' ~~(+6125/5832)~~ → [[Wesley family #Snipes\|Wesley family]]		* ''[[Submajor]]'' → [[Buzzardsmic clan #Submajor\|Buzzardsmic clan]] (+65536/64827, two octaves and a fourth sliced in eight)
	* ''[[~~Demibuzzard~~]]'' ~~(+65536/64827)~~ → [[Buzzardsmic clan #~~Demibuzzard~~\|Buzzardsmic clan]]		* ''[[Escapist]]'' → [[Escapade family #Escapist\|Escapade family]] (+65625/65536, fourth sliced in nine)
	* ''[[Escapist]]'' ~~(+65625/65536)~~ → [[Escapade family #Escapist\|Escapade family]]		* ''[[Decic]]'' → [[Cloudy clan #Decic\|Cloudy clan]] (+16807/16384, generated by the fifth with a 1/10-octave period)
	* ''[[Decic]]'' ~~(+16807/16384)~~ → [[Cloudy clan #Decic\|Cloudy clan]]		* ''[[Amavil]]'' → [[Mabila family #Amavil\|Mabila family]] (+17496/16807, four octaves and a fourth sliced in ten)
	* ''[[Amavil]]'' ~~(+17496/16807)~~ → [[Mabila family #Amavil\|Mabila family]]		* ''[[Betic]]'' → [[Sycamore family #Betic\|Sycamore family]] (+1071875/1062882, fifth sliced in eleven)
	* ''[[Betic]]'' ~~(+1071875/1062882)~~ → [[Sycamore family #Betic\|Sycamore family]]		* ''[[Hendeca]]'' → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]] (+122880/117649, generated by the fifth with a 1/11-octave period)
	* ''[[Hendeca]]'' ~~(+122880/117649)~~ → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]]		* ''[[Compton]]'' → [[Compton family #Compton\|Compton family]] (+250047/250000, generated by the classical major third with a 1/12-octave period)
	* [[Compton]] ~~(+250047/250000)~~ → [[Compton family #Compton\|Compton family]]		* ''[[Raccoon]]'' → [[Vavoom family #Raccoon\|Vavoom family]] (+41943040/40353607, twelfth sliced in seventeen)
	* ''[[Raccoon]]'' ~~(+41943040/40353607)~~ → [[Vavoom family #Raccoon\|Vavoom family]]		* ''[[Maquila]]'' → [[Maquila family #Septimal maquila\|Maquila family]] (+30233088/28824005, seven octaves and a fifth sliced in seventeen)
	* ''[[Maquila]]'' ~~(+30233088/28824005)~~ → [[Maquila family #Septimal maquila\|Maquila family]]		* ''[[Gammy]]'' → [[Gammic family #Gammy\|Gammic family]] (+94143178827/91913281250, fifth sliced in twenty)
	* ''[[Gammy]]'' ~~(+94143178827/91913281250)~~ → [[Gammic family #Gammy\|Gammic family]]

	Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].		Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].

← Older revision		Revision as of 18:56, 15 April 2026
Line 11:		Line 11:
	* ''[[August]]'' (+36/35 or 128/125) → [[Augmented family #August\|Augmented family]]		* ''[[August]]'' (+36/35 or 128/125) → [[Augmented family #August\|Augmented family]]
	* ''[[Fog]]'' (+156250/151263) → [[Misty family #Fog\|Misty family]]		* ''[[Fog]]'' (+156250/151263) → [[Misty family #Fog\|Misty family]]
	* [[Negri]] (+49/48) → [[~~Slendro~~ clan #Negri\|~~Slendro~~ clan]]		* [[Bunya]] (+15625/15309) → [[Tetracot family #Bunya\|Tetracot family]]
			* [[Negri]] (+49/48) → [[Semaphoresmic clan #Negri\|Semaphoresmic clan]]
	* [[Magic]] (+245/243) → [[Magic family #Magic\|Magic family]]		* [[Magic]] (+245/243) → [[Magic family #Magic\|Magic family]]
	* ''[[Passive]]'' (+256/245) → [[Passion family #Passive\|Passion family]]		* ''[[Passive]]'' (+256/245) → [[Passion family #Passive\|Passion family]]
Line 22:		Line 23:
	* [[Orwell]] (+1728/1715) → [[Semicomma family #Orwell\|Semicomma family]]		* [[Orwell]] (+1728/1715) → [[Semicomma family #Orwell\|Semicomma family]]
	* ''[[Snipes]]'' (+6125/5832) → [[Wesley family #Snipes\|Wesley family]]		* ''[[Snipes]]'' (+6125/5832) → [[Wesley family #Snipes\|Wesley family]]
	* ''[[~~Submajor~~]]'' (+65536/64827) → [[Buzzardsmic clan #~~Submajor~~\|Buzzardsmic clan]]		* ''[[Demibuzzard]]'' (+65536/64827) → [[Buzzardsmic clan #Demibuzzard\|Buzzardsmic clan]]
	* ''[[Escapist]]'' (+65625/65536) → [[Escapade family #Escapist\|Escapade family]]		* ''[[Escapist]]'' (+65625/65536) → [[Escapade family #Escapist\|Escapade family]]
	* ''[[Decic]]'' (+16807/16384) → [[Cloudy clan #Decic\|Cloudy clan]]		* ''[[Decic]]'' (+16807/16384) → [[Cloudy clan #Decic\|Cloudy clan]]
Line 28:		Line 29:
	* ''[[Betic]]'' (+1071875/1062882) → [[Sycamore family #Betic\|Sycamore family]]		* ''[[Betic]]'' (+1071875/1062882) → [[Sycamore family #Betic\|Sycamore family]]
	* ''[[Hendeca]]'' (+122880/117649) → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]]		* ''[[Hendeca]]'' (+122880/117649) → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]]
	* ''[[Compton]]'' (+250047/250000) → [[Compton family #Compton\|Compton family]]		* [[Compton]] (+250047/250000) → [[Compton family #Compton\|Compton family]]
	* ''[[Raccoon]]'' (+41943040/40353607) → [[Vavoom family #Raccoon\|Vavoom family]]		* ''[[Raccoon]]'' (+41943040/40353607) → [[Vavoom family #Raccoon\|Vavoom family]]
	* ''[[Maquila]]'' (+30233088/28824005) → [[Maquila family #Septimal maquila\|Maquila family]]		* ''[[Maquila]]'' (+30233088/28824005) → [[Maquila family #Septimal maquila\|Maquila family]]

← Older revision		Revision as of 18:54, 15 April 2026
Line 3:		Line 3:

	Temperaments considered in families and clans are:		Temperaments considered in families and clans are:
	* ''[[Pelogic]]'' → [[Mavila family #Pelogic\|Mavila family]] ~~(+21/20 or 135/128, generated by the fifth with 5/4 mapped to the m3)~~		* ''[[Pelogic]]'' (+21/20 or 135/128) → [[Mavila family #Pelogic\|Mavila family]]
	* [[Meantone]] → [[Meantone family #Septimal meantone\|Meantone family]] ~~(+81/80 or 126/125, generated by the fifth with 5/4 mapped to the M3)~~		* [[Meantone]] (+81/80 or 126/125) → [[Meantone family #Septimal meantone\|Meantone family]]
	* [[Garibaldi]] → [[Schismatic family #Garibaldi\|Schismatic family]] ~~(+3125/3087, generated by the fifth with 5/4 mapped to the d4)~~		* [[Garibaldi]] (+3125/3087) → [[Schismatic family #Garibaldi\|Schismatic family]]
	* [[Pajara]] → [[Diaschismic family #Pajara\|Diaschismic family]] ~~(+50/49 or 64/63, generated by the fifth with a semioctave period)~~		* [[Pajara]] (+50/49 or 64/63) → [[Diaschismic family #Pajara\|Diaschismic family]]
	* ''[[Sharpie]]'' → [[Dicot family #Sharpie\|Dicot family]] ~~(+25/24 or 28/27, fifth sliced in two)~~		* ''[[Sharpie]]'' (+25/24 or 28/27) → [[Dicot family #Sharpie\|Dicot family]]
	* ''[[Immune]]'' → [[Immunity family #Immune\|Immunity family]] ~~(+781250/750141, twelfth sliced in two)~~		* ''[[Immune]]'' (+781250/750141) → [[Immunity family #Immune\|Immunity family]]
	* ''[[August]]'' → [[Augmented family #August\|Augmented family]] ~~(+36/35 or 128/125, generated by the fifth with a 1/3-octave period)~~		* ''[[August]]'' (+36/35 or 128/125) → [[Augmented family #August\|Augmented family]]
	* ''[[Fog]]'' → [[Misty family #Fog\|Misty family]] ~~(+156250/151263, generated by the fifth with a 1/3-octave period)~~		* ''[[Fog]]'' (+156250/151263) → [[Misty family #Fog\|Misty family]]
	* [[Negri]] → [[Slendro clan #Negri\|Slendro clan]] ~~(+49/48, fourth sliced in four)~~		* [[Negri]] (+49/48) → [[Slendro clan #Negri\|Slendro clan]]
	* [[Magic]] → [[Magic family #Magic\|Magic family]] ~~(+245/243, twelfth sliced in five)~~		* [[Magic]] (+245/243) → [[Magic family #Magic\|Magic family]]
	* ''[[Passive]]'' → [[Passion family #Passive\|Passion family]] ~~(+256/245, fourth sliced in five)~~		* ''[[Passive]]'' (+256/245) → [[Passion family #Passive\|Passion family]]
	* ''[[Quintapole]]'' → [[Quintaleap family #Quintapole\|Quintaleap family]] ~~(+7812500/7411887, fourth sliced in five)~~		* ''[[Quintapole]]'' (+7812500/7411887) → [[Quintaleap family #Quintapole\|Quintaleap family]]
	* ''[[Houborizic]]'' → [[Amity family #Houborizic\|Amity family]] ~~(+1250000/1240029, eleventh sliced in five)~~		* ''[[Houborizic]]'' (+1250000/1240029) → [[Amity family #Houborizic\|Amity family]]
	* ''[[Qintosec]]'' → [[Quintosec family #Qintosec\|Quintosec family]] ~~(+2560000/2470629, generated by the classical minor second with a 1/5-octave period)~~		* ''[[Qintosec]]'' (+2560000/2470629) → [[Quintosec family #Qintosec\|Quintosec family]]
	* [[Miracle]] → [[Gamelismic clan #Miracle\|Gamelismic clan]] ~~(+1029/1024, fifth sliced in six)~~		* [[Miracle]] (+1029/1024) → [[Gamelismic clan #Miracle\|Gamelismic clan]]
	* [[Catakleismic]] → [[Kleismic family #Catakleismic\|Kleismic family]] ~~(+4375/4374, twelfth sliced in six)~~		* [[Catakleismic]] (+4375/4374) → [[Kleismic family #Catakleismic\|Kleismic family]]
	* ''[[Marvo]]'' → [[Gravity family #Marvo\|Gravity family]] ~~(+78125000/78121827, two octaves and a fifth sliced in six)~~		* ''[[Marvo]]'' (+78125000/78121827) → [[Gravity family #Marvo\|Gravity family]]
	* [[Orwell]] → [[Semicomma family #Orwell\|Semicomma family]] ~~(+1728/1715, twelfth sliced in seven)~~		* [[Orwell]] (+1728/1715) → [[Semicomma family #Orwell\|Semicomma family]]
	* ''[[Snipes]]'' → [[Wesley family #Snipes\|Wesley family]] ~~(+6125/5832, two octaves and a fourth sliced in seven)~~		* ''[[Snipes]]'' (+6125/5832) → [[Wesley family #Snipes\|Wesley family]]
	* ''[[Submajor]]'' → [[Buzzardsmic clan #Submajor\|Buzzardsmic clan]] ~~(+65536/64827, two octaves and a fourth sliced in eight)~~		* ''[[Submajor]]'' (+65536/64827) → [[Buzzardsmic clan #Submajor\|Buzzardsmic clan]]
	* ''[[Escapist]]'' → [[Escapade family #Escapist\|Escapade family]] ~~(+65625/65536, fourth sliced in nine)~~		* ''[[Escapist]]'' (+65625/65536) → [[Escapade family #Escapist\|Escapade family]]
	* ''[[Decic]]'' → [[Cloudy clan #Decic\|Cloudy clan]] ~~(+16807/16384, generated by the fifth with a 1/10-octave period)~~		* ''[[Decic]]'' (+16807/16384) → [[Cloudy clan #Decic\|Cloudy clan]]
	* ''[[Amavil]]'' → [[Mabila family #Amavil\|Mabila family]] ~~(+17496/16807, four octaves and a fourth sliced in ten)~~		* ''[[Amavil]]'' (+17496/16807) → [[Mabila family #Amavil\|Mabila family]]
	* ''[[Betic]]'' → [[Sycamore family #Betic\|Sycamore family]] ~~(+1071875/1062882, fifth sliced in eleven)~~		* ''[[Betic]]'' (+1071875/1062882) → [[Sycamore family #Betic\|Sycamore family]]
	* ''[[Hendeca]]'' → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]] ~~(+122880/117649, generated by the fifth with a 1/11-octave period)~~		* ''[[Hendeca]]'' (+122880/117649) → [[11th-octave temperaments #Hendeca\|11th-octave temperaments]]
	* ''[[Compton]]'' → [[Compton family #Compton\|Compton family]] ~~(+250047/250000, generated by the classical major third with a 1/12-octave period)~~		* ''[[Compton]]'' (+250047/250000) → [[Compton family #Compton\|Compton family]]
	* ''[[Raccoon]]'' → [[Vavoom family #Raccoon\|Vavoom family]] ~~(+41943040/40353607, twelfth sliced in seventeen)~~		* ''[[Raccoon]]'' (+41943040/40353607) → [[Vavoom family #Raccoon\|Vavoom family]]
	* ''[[Maquila]]'' → [[Maquila family #Septimal maquila\|Maquila family]] ~~(+30233088/28824005, seven octaves and a fifth sliced in seventeen)~~		* ''[[Maquila]]'' (+30233088/28824005) → [[Maquila family #Septimal maquila\|Maquila family]]
	* ''[[Gammy]]'' → [[Gammic family #Gammy\|Gammic family]] ~~(+94143178827/91913281250, fifth sliced in twenty)~~		* ''[[Gammy]]'' (+94143178827/91913281250) → [[Gammic family #Gammy\|Gammic family]]

	Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].		Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, gwazy, and tertiosec, in the order of increasing [[badness]].