Archytas clan: Difference between revisions
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The second comma in the comma list defines which [[7-limit]] family member we are looking at: | The second comma in the comma list defines which [[7-limit]] family member we are looking at: | ||
* [[#Schism|Schism]] adds [[360/343]], for a tuning around [[12edo]]; | * [[#Schism|Schism]] adds [[360/343]], for a tuning around [[12edo]]; | ||
* [[Dominant | * [[Meantone family #Dominant|Dominant]] adds [[36/35]], for a tuning between [[12edo]] and [[17edo|17c-edo]]; | ||
* [[#Quasisuper|Quasisuper]] adds [[2430/2401]], for a tuning between 17c-edo and [[22edo]]; | * [[#Quasisuper|Quasisuper]] adds [[2430/2401]], for a tuning between 17c-edo and [[22edo]]; | ||
* [[#Superpyth|Superpyth]] adds [[245/243]], for a tuning between 22edo and [[27edo]]; | * [[#Superpyth|Superpyth]] adds [[245/243]], for a tuning between 22edo and [[27edo]]; | ||
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Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
* ''[[Mother]]'' (+ | * ''[[Mother]]'' (+16/15) → [[Father family #Mother|Father family]] | ||
* [[Dominant (temperament)|Dominant]] (+ | * [[Dominant (temperament)|Dominant]] (+36/35) → [[Meantone family #Dominant|Meantone family]] | ||
* ''[[Medusa]]'' (+ | * ''[[Medusa]]'' (+15/14) → [[Very low accuracy temperaments #Medusa|Very low accuracy temperaments]] | ||
* ''[[Immunized]]'' (+ | * ''[[Immunized]]'' (+8748/8575) → [[Immunity family #Immunized|Immunity family]] | ||
* [[Pajara]] (+ | * [[Pajara]] (+50/49) → [[Diaschismic family #Pajara|Diaschismic family]] | ||
* [[Augene]] (+ | * [[Augene]] (+126/125) → [[Augmented family #Septimal augmented (augene)|Augmented family]] | ||
* [[Porcupine]] (+ | * [[Porcupine]] (+250/243) → [[Porcupine family #Septimal porcupine|Porcupine family]] | ||
* | * [[Modus]] (+4375/4374) → [[Tetracot family #Modus|Tetracot family]] | ||
* ''[[Brightstone]]'' (+ | * ''[[Brightstone]]'' (+3125/3024) → [[Magic family #Brightstone|Magic family]] | ||
* ''[[Passion]]'' (+ | * ''[[Passion]]'' (+3125/3087) → [[Passion family #Septimal passion|Passion family]] | ||
* [[Blackwood]] (+ | * [[Blackwood]] (+28/27) → [[Limmic temperaments #Blackwood|Limmic temperaments]] | ||
* ''[[Catalan]]'' (+ | * ''[[Catalan]]'' (+15625/15552) → [[Kleismic family #Catalan|Kleismic family]] | ||
Considered below are superpyth, quasisuper, ultrapyth, quasiultra, schism, beatles, progress, fervor, and sixix. | Considered below are superpyth, quasisuper, ultrapyth, quasiultra, schism, beatles, progress, fervor, and sixix. | ||
==== Subgroup extensions ==== | ==== Subgroup extensions ==== | ||
Omitting prime 5, archy can be extended to the 2.3.7.11 subgroup by identifying 11/8 as a diminished fourth (C–G♭). This is called supra, given right below. Discussed elsewhere is [[suhajira]] of the [[ | Omitting prime 5, archy can be extended to the 2.3.7.11 subgroup by identifying 11/8 as a diminished fourth (C–G♭). This is called supra, given right below. Discussed elsewhere is [[suhajira]] of the [[rastmic clan #Suhajira|rastmic clan]]. | ||
=== Supra === | === Supra === | ||