Hemimean clan: Difference between revisions
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* ''[[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) → [[ | * ''[[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) → [[ | * [[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]] | ||
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== Didacus == | == Didacus == | ||
{{main|Didacus}} | {{main|Didacus}} | ||
See also its canonical extension to the 2.5.7.11 subgroup, [[#Undecimal didacus]]. | |||
[[Subgroup]]: 2.5.7 | [[Subgroup]]: 2.5.7 | ||
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== Mowglic == | == Mowglic == | ||
The mowglic temperament (19 & 161) is an extension of the [[ | 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 == | ||
The undetrita temperament (111 & 118) tempers out the hemimean comma (3136/3125) and [[ | : ''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. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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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. | 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 | ||
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== Isra == | == Isra == | ||
Isra results from taking every other generator of [[septimal meantone]], or from [[didacus]] if the generator is interpreted as 9/8. It is named after the Isrāʾ | Isra (''iss-RAH'') results from taking every other generator of [[septimal meantone]], or from [[didacus]] if the generator is interpreted as 9/8. It is named after the Isrāʾ night journey in the Qur'an, because it is similar to [[luna]] (septimal [[hemithirds]], a didacus extension). | ||
[[Subgroup]]: 2.9.5.7 | [[Subgroup]]: 2.9.5.7 | ||
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[[Category:Temperament clans]] | [[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:Rank 2]] | ||