Hemimean clan - Revision history

FloraC: Text replacement - "Gencom mapping: {{mapping| " to "{{Mapping|legend=4| "

2026-09-30T17:43:26Z

Text replacement - "Gencom mapping: {{mapping| " to "{{Mapping|legend=4| "

← Older revision		Revision as of 17:43, 30 September 2026
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	: sval mapping generators: ~2, ~56/25		: sval mapping generators: ~2, ~56/25

	~~Gencom mapping:~~ {{~~mapping~~\| 1 0 2 2 2 5 \| 0 0 2 5 9 -8 }}		{{Mapping\|legend=4\| 1 0 2 2 2 5 \| 0 0 2 5 9 -8 }}

	: gencom: [2 28/25; 176/175 1375/1372 640/637]		: gencom: [2 28/25; 176/175 1375/1372 640/637]

FloraC: Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| "

2026-09-30T17:38:40Z

Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| "

← Older revision		Revision as of 17:38, 30 September 2026
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	[[Comma list]]: [[3136/3125]]		[[Comma list]]: [[3136/3125]]

	{{Mapping\|legend=2\| 1 0 -3 \| 0 2 5 }}		{{Mapping\|legend=3\| 1 0 -3 \| 0 2 5 }}

	: sval mapping generators: ~2, ~56/25		: sval mapping generators: ~2, ~56/25
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	[[Comma list]]: 81/80, 126/125		[[Comma list]]: 81/80, 126/125

	{{Mapping\|legend=2\| 1 0 -4 -13 \| 0 1 2 5 }}		{{Mapping\|legend=3\| 1 0 -4 -13 \| 0 1 2 5 }}

	: sval mapping generators: ~2, ~9		: sval mapping generators: ~2, ~9
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	[[Comma list]]: 81/80, 99/98, 126/125		[[Comma list]]: 81/80, 99/98, 126/125

	{{Mapping\|legend=2\| 1 0 -4 -13 -25 \| 0 1 2 5 9 }}		{{Mapping\|legend=3\| 1 0 -4 -13 -25 \| 0 1 2 5 9 }}

	{{Mapping\|legend=5\| 1 3/2 2 2 2 \| 0 1/2 2 5 9 }}		{{Mapping\|legend=5\| 1 3/2 2 2 2 \| 0 1/2 2 5 9 }}
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	[[Comma list]]: 45/44, 56/55, 81/80		[[Comma list]]: 45/44, 56/55, 81/80

	{{Mapping\|legend=2\| 1 0 -4 -13 -6 \| 0 1 2 5 3 }}		{{Mapping\|legend=3\| 1 0 -4 -13 -6 \| 0 1 2 5 3 }}

	{{Mapping\|legend=5\| 1 3/2 2 2 3 \| 0 1/2 2 5 3 }}		{{Mapping\|legend=5\| 1 3/2 2 2 3 \| 0 1/2 2 5 3 }}
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	[[Comma list]]: 65/64, 81/80, 91/90		[[Comma list]]: 65/64, 81/80, 91/90

	{{Mapping\|legend=2\| 1 0 -4 -13 10 \| 0 1 2 5 -2 }}		{{Mapping\|legend=3\| 1 0 -4 -13 10 \| 0 1 2 5 -2 }}

	{{Mapping\|legend=5\| 1 3/2 2 2 0 4 \| 0 1/2 2 5 0 -2 }}		{{Mapping\|legend=5\| 1 3/2 2 2 0 4 \| 0 1/2 2 5 0 -2 }}

FloraC: Text replacement - "{{Mapping|legend=3| " to "{{Mapping|legend=5| "

2026-09-30T17:34:07Z

Text replacement - "{{Mapping|legend=3| " to "{{Mapping|legend=5| "

← Older revision		Revision as of 17:34, 30 September 2026
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	: sval mapping generators: ~2, ~56/25		: sval mapping generators: ~2, ~56/25

	{{Mapping\|legend=3\| 1 0 0 -3 \| 0 0 2 5 }}		{{Mapping\|legend=5\| 1 0 0 -3 \| 0 0 2 5 }}

	: [[gencom]]: [2 56/25; 3136/3125]		: [[gencom]]: [2 56/25; 3136/3125]
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	{{Mapping\|legend=2\| 1 0 -4 -13 -25 \| 0 1 2 5 9 }}		{{Mapping\|legend=2\| 1 0 -4 -13 -25 \| 0 1 2 5 9 }}

	{{Mapping\|legend=3\| 1 3/2 2 2 2 \| 0 1/2 2 5 9 }}		{{Mapping\|legend=5\| 1 3/2 2 2 2 \| 0 1/2 2 5 9 }}

	: [[gencom]]: [2 9/8; 81/80 99/98 126/125]		: [[gencom]]: [2 9/8; 81/80 99/98 126/125]
Line 1,059:		Line 1,059:
	{{Mapping\|legend=2\| 1 0 -4 -13 -6 \| 0 1 2 5 3 }}		{{Mapping\|legend=2\| 1 0 -4 -13 -6 \| 0 1 2 5 3 }}

	{{Mapping\|legend=3\| 1 3/2 2 2 3 \| 0 1/2 2 5 3 }}		{{Mapping\|legend=5\| 1 3/2 2 2 3 \| 0 1/2 2 5 3 }}

	: [[gencom]]: [2 9/8; 45/44 56/55 81/80]		: [[gencom]]: [2 9/8; 45/44 56/55 81/80]
Line 1,080:		Line 1,080:
	{{Mapping\|legend=2\| 1 0 -4 -13 10 \| 0 1 2 5 -2 }}		{{Mapping\|legend=2\| 1 0 -4 -13 10 \| 0 1 2 5 -2 }}

	{{Mapping\|legend=3\| 1 3/2 2 2 0 4 \| 0 1/2 2 5 0 -2 }}		{{Mapping\|legend=5\| 1 3/2 2 2 0 4 \| 0 1/2 2 5 0 -2 }}

	: [[gencom]]: [2 9/8; 65/64 81/80 91/90]		: [[gencom]]: [2 9/8; 65/64 81/80 91/90]

FloraC: Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "

2026-09-24T12:33:25Z

Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "

Show changes

FloraC: Update

2026-09-15T07:50:59Z

Update

← Older revision		Revision as of 07:50, 15 September 2026
Line 23:		Line 23:
	* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent\|Sensipent family]]		* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent\|Sensipent family]]
	* ''[[Doubloon]]'' (+33756345/33554432) → [[Vavoom family #Doubloon\|Vavoom family]]		* ''[[Doubloon]]'' (+33756345/33554432) → [[Vavoom family #Doubloon\|Vavoom family]]
	* ''[[Decistearn]]'' (+118098/117649) → [[~~Stearnsmic clan~~ #Decistearn\|~~Stearnsmic clan~~]]		* ''[[Decistearn]]'' (+118098/117649) → [[Trisedodge family #Decistearn\|Trisedodge family]]
	* ''[[Quintagar]]'' (+33554432/33480783) → [[Quindromeda family #Quintagar\|Quindromeda family]]		* ''[[Quintagar]]'' (+33554432/33480783) → [[Quindromeda family #Quintagar\|Quindromeda family]]
	* ''[[Rubidium]]'' (+4194304/4117715) → [[37th-octave temperaments]]		* ''[[Rubidium]]'' (+4194304/4117715) → [[37th-octave temperaments]]

FloraC: Recategorize

2026-08-15T07:36:01Z

Recategorize

← Older revision		Revision as of 07:36, 15 August 2026
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	[[Tp tuning #T2 tuning\|RMS error]]: 2.003 cents		[[Tp tuning #T2 tuning\|RMS error]]: 2.003 cents

	~~[[Category:Temperament clans]]~~
	[[Category:Hemimean clan\| ]] <!-- main article -->		[[Category:Hemimean clan\| ]] <!-- main article -->
	[[Category:Hemimean\| ]] <!-- key article -->		[[Category:Hemimean\| ]] <!-- key article -->
	[[Category:~~Rank~~ 2]]		[[Category:Temperament clans]]
			[[Category:Catalogs of rank-2 temperaments]]

FloraC: Update

2026-08-09T13:34:18Z

Update

← Older revision		Revision as of 13:34, 9 August 2026
Line 11:		Line 11:
	* ''[[Passion]]'' (+64/63 or 3125/3087) → [[Passion family #Septimal passion\|Passion family]]		* ''[[Passion]]'' (+64/63 or 3125/3087) → [[Passion family #Septimal passion\|Passion family]]
	* [[Meantone]] (+81/80, 126/125, 225/224) → [[Meantone family #Septimal meantone\|Meantone family]]		* [[Meantone]] (+81/80, 126/125, 225/224) → [[Meantone family #Septimal meantone\|Meantone family]]
	* ''[[Mohavila]]'' (+135/128 or 1323/1250) → [[~~Pelogic~~ family #Mohavila\|~~Pelogic~~ family]]		* ''[[Mohavila]]'' (+135/128 or 1323/1250) → [[Mavila family #Mohavila\|Mavila family]]
	* ''[[Cohemimabila]]'' (+65536/64827) → [[Mabila family #Cohemimabila\|Mabila family]]		* ''[[Cohemimabila]]'' (+65536/64827) → [[Mabila family #Cohemimabila\|Mabila family]]
	* ''[[Sycamore]]'' (+686/675 or 875/864) → [[Sycamore family #Septimal sycamore\|Sycamore family]]		* ''[[Sycamore]]'' (+686/675 or 875/864) → [[Sycamore family #Septimal sycamore\|Sycamore family]]
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	* ''[[Bischismic]]'' (+32805/32768) → [[Schismatic family #Bischismic\|Schismatic family]]		* ''[[Bischismic]]'' (+32805/32768) → [[Schismatic family #Bischismic\|Schismatic family]]
	* ''[[Clyde]]'' (+245/243) → [[Kleismic family #Clyde\|Kleismic family]]		* ''[[Clyde]]'' (+245/243) → [[Kleismic family #Clyde\|Kleismic family]]
	* [[Parakleismic]] (+4375/4374) → [[~~Ragismic microtemperaments~~ #Parakleismic\|~~Ragismic microtemperaments~~]]		* [[Parakleismic]] (+4375/4374) → [[Parakleismic family #Parakleismic\|Parakleismic family]]
	* ''[[Arch]]'' (+5250987/5242880) → [[Escapade family #Arch\|Escapade family]]		* ''[[Arch]]'' (+5250987/5242880) → [[Escapade family #Arch\|Escapade family]]
	* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent\|Sensipent family]]		* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent\|Sensipent family]]

Lériendil: /* Rectified hebrew */

2026-03-01T04:51:20Z

Rectified hebrew

← Older revision		Revision as of 04:51, 1 March 2026
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	{{Main\| Rectified hebrew }}		{{Main\| Rectified hebrew }}

	Rectified hebrew (37 & 56) is derived from the [https://individual.utoronto.ca/kalendis/hebrew/rect.htm#353 calendar by the same name]. It is leap year pattern takes a stack of 18 Metonic cycle diatonic major scales and truncates the 19th one down to its generator, 11. It adds harmonic 13 through tempering out [[4394/4375]] and spliting the generator of didacus in three. Notably, it is the no-threes restriction of [[sycamore]].		Rectified hebrew (37 & 56) is derived from the [https://individual.utoronto.ca/kalendis/hebrew/rect.htm#353 calendar by the same name]. It is leap year pattern takes a stack of 18 Metonic cycle diatonic major scales and truncates the 19th one down to its generator, 11. It adds harmonic 13 through tempering out [[4394/4375]] and spliting the generator of didacus in three. Notably, it is the no-threes restriction of [[Sycamore family#Septimal sycamore\|sycamore]].

	Subgroup: 2.5.7.13		Subgroup: 2.5.7.13

Lériendil: sycamore

2026-03-01T04:50:50Z

sycamore

← Older revision		Revision as of 04:50, 1 March 2026
Line 1,000:		Line 1,000:
	{{Main\| Rectified hebrew }}		{{Main\| Rectified hebrew }}

	Rectified hebrew (37 & 56) is derived from the [https://individual.utoronto.ca/kalendis/hebrew/rect.htm#353 calendar by the same name]. It is leap year pattern takes a stack of 18 Metonic cycle diatonic major scales and truncates the 19th one down to its generator, 11. It adds harmonic 13 through tempering out [[4394/4375]] and spliting the generator of didacus in three.		Rectified hebrew (37 & 56) is derived from the [https://individual.utoronto.ca/kalendis/hebrew/rect.htm#353 calendar by the same name]. It is leap year pattern takes a stack of 18 Metonic cycle diatonic major scales and truncates the 19th one down to its generator, 11. It adds harmonic 13 through tempering out [[4394/4375]] and spliting the generator of didacus in three. Notably, it is the no-threes restriction of [[sycamore]].

	Subgroup: 2.5.7.13		Subgroup: 2.5.7.13

Xenllium: /* Weak extensions */

2026-02-06T12:18:41Z

Weak extensions

← Older revision		Revision as of 12:18, 6 February 2026
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	== Mowglic ==		== Mowglic ==
	The mowglic temperament (19 & 161) is an extension of the [[~~Syntonic–enneadecal~~ equivalence continuum\|mowgli temperament]] which tempers out the hemimean comma and the secanticornisma (177147/175000, laruquingu) in the 7-limit.		The mowglic temperament (19 & 161) is an extension of the [[Syntonic–kleismic equivalence continuum #Mowgli\|mowgli temperament]] which tempers out the hemimean comma and the secanticornisma (177147/175000, laruquingu) in the 7-limit.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Undetrita ==		== Undetrita ==
			: ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Undetrita (5-limit)]].''

	The undetrita temperament (111 & 118) tempers out the hemimean comma (3136/3125) and [[scheme comma]] (14348907/14336000) in the 7-limit; 3025/3024, 3388/3375, and 8019/8000 in the 11-limit. This temperament is related to [[11edt]], and the name ''undetrita'' is a play on the words ''undecimus'' (Latin for "eleventh") and ''[[tritave]]'' (3rd harmonic). It is also related to the [[Subgroup temperaments #No-sevens subgroup\|twentcufo temperament]], which is no-sevens version of 111 & 118.		The undetrita temperament (111 & 118) tempers out the hemimean comma (3136/3125) and [[scheme comma]] (14348907/14336000) in the 7-limit; 3025/3024, 3388/3375, and 8019/8000 in the 11-limit. This temperament is related to [[11edt]], and the name ''undetrita'' is a play on the words ''undecimus'' (Latin for "eleventh") and ''[[tritave]]'' (3rd harmonic). It is also related to the [[Subgroup temperaments #No-sevens subgroup\|twentcufo temperament]], which is no-sevens version of 111 & 118.

← Older revision		Revision as of 07:50, 15 September 2026
Line 23:		Line 23:
	* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent\|Sensipent family]]		* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent\|Sensipent family]]
	* ''[[Doubloon]]'' (+33756345/33554432) → [[Vavoom family #Doubloon\|Vavoom family]]		* ''[[Doubloon]]'' (+33756345/33554432) → [[Vavoom family #Doubloon\|Vavoom family]]
	* ''[[Decistearn]]'' (+118098/117649) → [[~~Stearnsmic clan~~ #Decistearn\|~~Stearnsmic clan~~]]		* ''[[Decistearn]]'' (+118098/117649) → [[Trisedodge family #Decistearn\|Trisedodge family]]
	* ''[[Quintagar]]'' (+33554432/33480783) → [[Quindromeda family #Quintagar\|Quindromeda family]]		* ''[[Quintagar]]'' (+33554432/33480783) → [[Quindromeda family #Quintagar\|Quindromeda family]]
	* ''[[Rubidium]]'' (+4194304/4117715) → [[37th-octave temperaments]]		* ''[[Rubidium]]'' (+4194304/4117715) → [[37th-octave temperaments]]

← Older revision		Revision as of 13:34, 9 August 2026
Line 11:		Line 11:
	* ''[[Passion]]'' (+64/63 or 3125/3087) → [[Passion family #Septimal passion\|Passion family]]		* ''[[Passion]]'' (+64/63 or 3125/3087) → [[Passion family #Septimal passion\|Passion family]]
	* [[Meantone]] (+81/80, 126/125, 225/224) → [[Meantone family #Septimal meantone\|Meantone family]]		* [[Meantone]] (+81/80, 126/125, 225/224) → [[Meantone family #Septimal meantone\|Meantone family]]
	* ''[[Mohavila]]'' (+135/128 or 1323/1250) → [[~~Pelogic~~ family #Mohavila\|~~Pelogic~~ family]]		* ''[[Mohavila]]'' (+135/128 or 1323/1250) → [[Mavila family #Mohavila\|Mavila family]]
	* ''[[Cohemimabila]]'' (+65536/64827) → [[Mabila family #Cohemimabila\|Mabila family]]		* ''[[Cohemimabila]]'' (+65536/64827) → [[Mabila family #Cohemimabila\|Mabila family]]
	* ''[[Sycamore]]'' (+686/675 or 875/864) → [[Sycamore family #Septimal sycamore\|Sycamore family]]		* ''[[Sycamore]]'' (+686/675 or 875/864) → [[Sycamore family #Septimal sycamore\|Sycamore family]]
Line 19:		Line 19:
	* ''[[Bischismic]]'' (+32805/32768) → [[Schismatic family #Bischismic\|Schismatic family]]		* ''[[Bischismic]]'' (+32805/32768) → [[Schismatic family #Bischismic\|Schismatic family]]
	* ''[[Clyde]]'' (+245/243) → [[Kleismic family #Clyde\|Kleismic family]]		* ''[[Clyde]]'' (+245/243) → [[Kleismic family #Clyde\|Kleismic family]]
	* [[Parakleismic]] (+4375/4374) → [[~~Ragismic microtemperaments~~ #Parakleismic\|~~Ragismic microtemperaments~~]]		* [[Parakleismic]] (+4375/4374) → [[Parakleismic family #Parakleismic\|Parakleismic family]]
	* ''[[Arch]]'' (+5250987/5242880) → [[Escapade family #Arch\|Escapade family]]		* ''[[Arch]]'' (+5250987/5242880) → [[Escapade family #Arch\|Escapade family]]
	* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent\|Sensipent family]]		* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent\|Sensipent family]]