Archytas clan: Difference between revisions
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→7-limit extensions: + link to gothic |
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These all use the same generators as archy. | These all use the same generators as archy. | ||
[[25/24]] gives dichotic. [[686/675]] gives beatles. Those split the fifth in two. [[8748/8575]] gives immunized, splitting the twelfth in two. [[50/49]] gives pajara with a semioctave period. [[392/375]] gives progress, splitting the twelfth in three. [[250/243]] gives porcupine, splitting the fourth in three. [[126/125]] gives augene with a 1/3-octave period. [[4375/4374]] gives modus, splitting the fifth in four. [[3125/3024]] gives brightstone. [[9604/9375]] gives fervor. [[3125/2916]] gives sixix. [[3125/3087]] gives passion. Those split the generator in five in various ways. [[28/27]] gives blackwood | [[25/24]] gives dichotic. [[686/675]] gives beatles. Those split the fifth in two. [[8748/8575]] gives immunized, splitting the twelfth in two. [[50/49]] gives pajara with a semioctave period. [[392/375]] gives progress, splitting the twelfth in three. [[250/243]] gives porcupine, splitting the fourth in three. [[126/125]] gives augene with a 1/3-octave period. [[4375/4374]] gives modus, splitting the fifth in four. [[3125/3024]] gives brightstone. [[9604/9375]] gives fervor. [[3125/2916]] gives sixix. [[3125/3087]] gives passion. Those split the generator in five in various ways. [[15625/15552]] gives catalan, splitting the twelfth in six. Finally, [[28/27]] gives blackwood and [[17496/16807]] gives [[gothic]], reducing the intervals of 3 and 7 to the same chain of 1/5- and 1/17-octave periods, respectively. | ||
Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
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* ''[[Brightstone]]'' (+3125/3024) → [[Magic family #Brightstone|Magic family]] | * ''[[Brightstone]]'' (+3125/3024) → [[Magic family #Brightstone|Magic family]] | ||
* ''[[Passion]]'' (+3125/3087) → [[Passion family #Septimal passion|Passion family]] | * ''[[Passion]]'' (+3125/3087) → [[Passion family #Septimal passion|Passion family]] | ||
* ''[[Catalan]]'' (+15625/15552) → [[Kleismic family #Catalan|Kleismic family]] | |||
* [[Blackwood]] (+28/27) → [[Blackwood family #Blackwood|Blackwood family]] | * [[Blackwood]] (+28/27) → [[Blackwood family #Blackwood|Blackwood family]] | ||
* ''[[ | * ''[[Gothic]]'' (+17496/16807) → [[17th-octave temperaments #Gothic|17th-octave temperaments]] | ||
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. | ||