Jubilismic clan: Difference between revisions

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Lemba finds the perfect fifth three steps away by tempering out [[1029/1024]]. Astrology, five steps away by tempering out [[3125/3072]]. Decimal, two steps away by tempering out [[25/24]] and [[49/48]]. Walid merges ~5/4 and ~4/3 by tempering out [[16/15]].

Diminished splits the ~7/5 period ~~into~~ a further two. Pajara slices the ~7/4 ~~into~~ two, with antikythera being every other step thereof. Injera slices the ~5/1 into ~~four~~. ~~Hedgehog~~ slices the ~7/~~1 into~~ five. Crepuscular ~~slices~~ the ~7/~~4 into seven~~.

Diminished adds 36/35 and splits the ~7/5 period in a further two. Pajara adds 64/63 and slices the ~7/4 in two, with antikythera being every other step thereof. Dubbla adds 78125/73728 and slices the ~5/4 in two. Injera adds 81/80 and slices the ~5/1 in four. Octokaidecal adds 28/27. Bipelog adds 135/128. Those splits the generator into three in various ways. Hexe adds 128/125 and slices the period in three. Hedgehog adds 250/243. Elvis adds 8505/8192. Those slice the generator in five. Comic adds 2240/2187. Crepuscular adds 4375/4374. Those slice the generator in seven. Byhearted adds 19683/19208. Bipyth adds 20480/19683. Those slice the generator in nine.

~~Lemba, astrology, and doublewide are~~ discussed ~~below; others in the clan~~ are

Temperaments discussed elsewhere are:

* [[Diminished]] → [[Dimipent family #Diminished|Dimipent family]]

* [[Decimal]] (+25/24) → [[Dicot family #Decimal|Dicot family]]

* [[Pajara]] → [[Diaschismic family #Pajara|Diaschismic family]]

* [[Diminished (temperament)|Diminished]] (+36/35) → [[Dimipent family #Diminished|Dimipent family]]

* [[~~Decimal~~]] → [[~~Dicot~~ family #~~Decimal~~|~~Dicot~~ family]]

* [[Pajara]] (+64/63) → [[Diaschismic family #Pajara|Diaschismic family]]

* [[Injera]] → [[Meantone family #Injera|Meantone family]]

* ''[[Dubbla]]'' (+78125/73728) → [[Wesley family #Dubbla|Wesley family]]

* [[Octokaidecal]] → [[Trienstonic clan #Octokaidecal|Trienstonic clan]]

* ''[[Injera]]'' (+81/80) → [[Meantone family #Injera|Meantone family]]

* [[~~Hedgehog~~]] → [[~~Porcupine family~~ #~~Hedgehog~~|~~Porcupine~~ family]]

* ''[[Octokaidecal]]'' (+28/27) → [[Trienstonic clan #Octokaidecal|Trienstonic clan]]

* [[~~Dubbla~~]] → [[~~Wesley~~ family #~~Dubbla~~|~~Wesley~~ family]]

* ''[[Bipelog]]'' (+135/128) → [[Mavila #Bipelog|Mavila family]]

* [[~~Bipelog~~]] → [[~~Pelogic~~ family #~~Bipelog~~|~~Pelogic~~ family]]

* ''[[Hexe]]'' (+128/125) → [[Augmented family #Hexe|Augmented family]]

* [[Crepuscular]] → [[Fifive family #Crepuscular|Fifive family]]

* ''[[Hedgehog]]'' (+250/243) → [[Porcupine family #Hedgehog|Porcupine family]]

* ~~[[Hexe]] → [[Augmented family #Hexe|Augmented family]]~~

* ''[[Crepuscular]]'' (+4375/4374) → [[Fifive family #Crepuscular|Fifive family]]

* [[Byhearted]] → [[Tetracot family #Byhearted|Tetracot family]]

* ''[[Byhearted]]'' (+19683/19208) → [[Tetracot family #Byhearted|Tetracot family]]

~~which~~ are ~~discussed elsewhere~~.

Considered below are lemba, astrology, walid, antikythera, doublewide, elvis, comic, and bipyth.

== Lemba ==

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 Lemba finds the perfect fifth three steps away by tempering out [[1029/1024]]. Astrology, five steps away by tempering out [[3125/3072]]. Decimal, two steps away by tempering out [[25/24]] and [[49/48]]. Walid merges ~5/4 and ~4/3 by tempering out [[16/15]].
-Diminished splits the ~7/5 period into a further two. Pajara slices the ~7/4 into two, with antikythera being every other step thereof. Injera slices the ~5/1 into four. Hedgehog slices the ~7/1 into five. Crepuscular slices the ~7/4 into seven.
+Diminished adds 36/35 and splits the ~7/5 period in a further two. Pajara adds 64/63 and slices the ~7/4 in two, with antikythera being every other step thereof. Dubbla adds 78125/73728 and slices the ~5/4 in two. Injera adds 81/80 and slices the ~5/1 in four. Octokaidecal adds 28/27. Bipelog adds 135/128. Those splits the generator into three in various ways. Hexe adds 128/125 and slices the period in three. Hedgehog adds 250/243. Elvis adds 8505/8192. Those slice the generator in five. Comic adds 2240/2187. Crepuscular adds 4375/4374. Those slice the generator in seven. Byhearted adds 19683/19208. Bipyth adds 20480/19683. Those slice the generator in nine.
-Lemba, astrology, and doublewide are discussed below; others in the clan are
+Temperaments discussed elsewhere are:
-* [[Diminished]] → [[Dimipent family #Diminished|Dimipent family]]
+* [[Decimal]] (+25/24) → [[Dicot family #Decimal|Dicot family]]
-* [[Pajara]] → [[Diaschismic family #Pajara|Diaschismic family]]
+* [[Diminished (temperament)|Diminished]] (+36/35) → [[Dimipent family #Diminished|Dimipent family]]
-* [[Decimal]] → [[Dicot family #Decimal|Dicot family]]
+* [[Pajara]] (+64/63) → [[Diaschismic family #Pajara|Diaschismic family]]
-* [[Injera]] → [[Meantone family #Injera|Meantone family]]
+* ''[[Dubbla]]'' (+78125/73728) → [[Wesley family #Dubbla|Wesley family]]
-* [[Octokaidecal]] → [[Trienstonic clan #Octokaidecal|Trienstonic clan]]
+* ''[[Injera]]'' (+81/80) → [[Meantone family #Injera|Meantone family]]
-* [[Hedgehog]] → [[Porcupine family #Hedgehog|Porcupine family]]
+* ''[[Octokaidecal]]'' (+28/27) → [[Trienstonic clan #Octokaidecal|Trienstonic clan]]
-* [[Dubbla]] → [[Wesley family #Dubbla|Wesley family]]
+* ''[[Bipelog]]'' (+135/128) → [[Mavila #Bipelog|Mavila family]]
-* [[Bipelog]] → [[Pelogic family #Bipelog|Pelogic family]]
+* ''[[Hexe]]'' (+128/125) → [[Augmented family #Hexe|Augmented family]]
-* [[Crepuscular]] → [[Fifive family #Crepuscular|Fifive family]]
+* ''[[Hedgehog]]'' (+250/243) → [[Porcupine family #Hedgehog|Porcupine family]]
-* [[Hexe]] → [[Augmented family #Hexe|Augmented family]]
+* ''[[Crepuscular]]'' (+4375/4374) → [[Fifive family #Crepuscular|Fifive family]]
-* [[Byhearted]] → [[Tetracot family #Byhearted|Tetracot family]]
+* ''[[Byhearted]]'' (+19683/19208) → [[Tetracot family #Byhearted|Tetracot family]]
-which are discussed elsewhere.
+Considered below are lemba, astrology, walid, antikythera, doublewide, elvis, comic, and bipyth.
 == Lemba ==