Marvel temperaments - Revision history

FloraC: Recategorize

2026-08-15T07:57:54Z

Recategorize

← Older revision		Revision as of 07:57, 15 August 2026
Line 1,387:		Line 1,387:
	== References ==		== References ==

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

Overthink: /* Gracecordial */ fix

2026-07-28T03:35:33Z

Gracecordial: fix

← Older revision		Revision as of 03:35, 28 July 2026
Line 821:		Line 821:
	* [[WE]]: ~2 = 1200.4904{{c}}, ~3/2 = 701.1103{{c}}		* [[WE]]: ~2 = 1200.4904{{c}}, ~3/2 = 701.1103{{c}}
	: [[error map]]: {{val\| +0.490 -0.354 -1.655 +1.241 }}		: [[error map]]: {{val\| +0.490 -0.354 -1.655 +1.241 }}
	* [[CWE]]: ~2 = 1200.~~3333~~{{c}}, ~3/2 = 700.8112{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.8112{{c}}
	: error map: {{val\| 0.000 -1.144 -2.537 +0.349 }}		: error map: {{val\| 0.000 -1.144 -2.537 +0.349 }}

Overthink: /* Septimin */ extend the optimal et sequence

2026-07-24T18:42:05Z

Septimin: extend the optimal et sequence

← Older revision		Revision as of 18:42, 24 July 2026
Line 312:		Line 312:
	: error map: {{val\| 0.000 -1.516 -4.735 -4.790 }}		: error map: {{val\| 0.000 -1.516 -4.735 -4.790 }}

	{{Optimal ET sequence\|legend=1\| 41, 91, 132d }}		{{Optimal ET sequence\|legend=1\| 9, 23, 32, 41, 91, 132d }}

	[[Badness]] (Sintel): 1.38		[[Badness]] (Sintel): 1.38
Line 327:		Line 327:
	* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 936.3906{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 936.3906{{c}}

	{{Optimal ET sequence\|legend=0\| 41, 91, 223cdef }}		{{Optimal ET sequence\|legend=0\| 9, 23, 32, 41, 91, 223cdef }}

	Badness (Sintel): 1.04		Badness (Sintel): 1.04
Line 342:		Line 342:
	* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 936.3196{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~12/7 = 936.3196{{c}}

	{{Optimal ET sequence\|legend=0\| 41, 91 }}		{{Optimal ET sequence\|legend=0\| 9, 32f, 41, 91 }}

	Badness (Sintel): 0.955		Badness (Sintel): 0.955

FloraC: /* Hendeca */ + history

2026-07-05T11:09:01Z

Hendeca: + history

← Older revision		Revision as of 11:09, 5 July 2026
Line 1,277:		Line 1,277:
	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Hendecatonic]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Hendecatonic]].''

	Hendeca tempers out the same 5-limit comma as [[porwell temperaments #Hendecatonic\|hendecatonic]], and has a period of 1/11 octave. However, in this temperament, nine periods represent [[7/4]], the same as [[keemic temperaments #Undeka\|undeka]]. It can be tuned to [[22edo]] or [[33edo]] using the [[patent val]], or [[55edo]] using the 55d val.		Hendeca tempers out the same 5-limit comma as [[porwell temperaments #Hendecatonic\|hendecatonic]], and has a period of 1/11 octave. However, in this temperament, nine periods represent [[7/4]], the same as [[keemic temperaments #Undeka\|undeka]]. It can be tuned to [[22edo]] or [[33edo]] using the [[patent val]], or [[55edo]] using the 55d val. It was named by [[Xenllium]] in 2025 as a low-accuracy variant of hendecatonic.

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

FloraC: /* Hendeca */ + link and note the relation to septimal hendecatonic

2026-07-05T11:02:57Z

Hendeca: + link and note the relation to septimal hendecatonic

← Older revision		Revision as of 11:02, 5 July 2026
Line 1,275:		Line 1,275:
	== Hendeca ==		== Hendeca ==
	{{Distinguish\| Hendec }}		{{Distinguish\| Hendec }}
			: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Hendecatonic]].''

	Hendeca has a period of 1/11 octave, nine ~~of them~~ represent [[7/4]] ~~in the 7-limit~~, the same as [[keemic temperaments #Undeka\|undeka]]. It can be tuned to [[22edo]] or [[33edo]] using the [[patent val]], or [[55edo]] using the 55d val.		Hendeca tempers out the same 5-limit comma as [[porwell temperaments #Hendecatonic\|hendecatonic]], and has a period of 1/11 octave. However, in this temperament, nine periods represent [[7/4]], the same as [[keemic temperaments #Undeka\|undeka]]. It can be tuned to [[22edo]] or [[33edo]] using the [[patent val]], or [[55edo]] using the 55d val.

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

FloraC: Move hendeca here

2026-07-05T10:34:55Z

Move hendeca here

@@ Line 26: / Line 26: @@
 * ''[[Amavil]]'' (+17496/16807) → [[Mabila family #Amavil|Mabila family]]
 * ''[[Betic]]'' (+1071875/1062882) → [[Sycamore family #Betic|Sycamore family]]
 * [[Compton]] (+250047/250000) → [[Compton family #Compton|Compton family]]
 * ''[[Raccoon]]'' (+41943040/40353607) → [[Vavoom family #Raccoon|Vavoom family]]
@@ Line 32: / Line 31: @@
 * ''[[Gammy]]'' (+94143178827/91913281250) → [[Gammic family #Gammy|Gammic family]]
-Considered below are wizard, tritonic, septimin, merman, slender, triton, marvolo, decic, 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, decic, enneaportent, gracecordial, alphorn, misneb, untriton, naiadical, quintannic, hendeca, 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.
@@ Line 1,273: / Line 1,272: @@
 Badness (Sintel): 1.17
 == Gwazy ==

FloraC: /* Decic */ make it explicit that it's a 10th-octave temp

2026-06-25T11:59:11Z

Decic: make it explicit that it's a 10th-octave temp

← Older revision		Revision as of 11:59, 25 June 2026
Line 601:		Line 601:
	{{Main\| Decic }}		{{Main\| Decic }}

	Named by [[Xenllium]] in 2021, decic tempers out 16807/16384, the [[cloudy comma]], and {{monzo\| 11 -10 -10 10 }}, the [[linus comma]], in addition to the marvel comma~~, and~~ may be described as the {{nowrap\| 50 & 60 }} temperament, [[support]]ed by [[10edo\|10-]], [[50edo\|50-]], and [[60edo]]. It can be extended ~~naturally~~ to the 11-, 13-, and 17-limit by adding [[385/384]], [[105/104]], and [[170/169]] to the comma list in this order.		Named by [[Xenllium]] in 2021, decic tempers out 16807/16384, the [[cloudy comma]], and {{monzo\| 11 -10 -10 10 }}, the [[linus comma]], in addition to the marvel comma. It may be described as the {{nowrap\| 50 & 60 }} temperament, with a period of 1/10 octave and a [[ploidacot]] signature of decaploid monocot. It is [[support]]ed by [[10edo\|10-]], [[50edo\|50-]], and [[60edo]].

			It can be extended to the 11-, 13-, and 17-limit by adding [[385/384]], [[105/104]], and [[170/169]] to the comma list in this order.

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

FloraC: Move decic here

2026-06-25T10:15:11Z

Move decic here

Show changes

FloraC: Update

2026-06-20T11:41:56Z

Update

← Older revision		Revision as of 11:41, 20 June 2026
Line 15:		Line 15:
	* [[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]]
	* ''[[Quintapole]]'' (+7812500/7411887) → [[Quintaleap family #Quintapole\|Quintaleap family]]
	* ''[[Houborizic]]'' (+1250000/1240029) → [[Amity family #Houborizic\|Amity family]]		* ''[[Houborizic]]'' (+1250000/1240029) → [[Amity family #Houborizic\|Amity family]]
	* ''[[Qintosec]]'' (+2560000/2470629) → [[Quintosec family #Qintosec\|Quintosec family]]		* ''[[Qintosec]]'' (+2560000/2470629) → [[Quintosec family #Qintosec\|Quintosec family]]

FloraC: Undo (see talk)

2026-05-02T10:20:00Z

Undo (see talk)

← 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 11:41, 20 June 2026
Line 15:		Line 15:
	* [[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]]
	* ''[[Quintapole]]'' (+7812500/7411887) → [[Quintaleap family #Quintapole\|Quintaleap family]]
	* ''[[Houborizic]]'' (+1250000/1240029) → [[Amity family #Houborizic\|Amity family]]		* ''[[Houborizic]]'' (+1250000/1240029) → [[Amity family #Houborizic\|Amity family]]
	* ''[[Qintosec]]'' (+2560000/2470629) → [[Quintosec family #Qintosec\|Quintosec family]]		* ''[[Qintosec]]'' (+2560000/2470629) → [[Quintosec family #Qintosec\|Quintosec family]]

← 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]].