Archytas clan: Difference between revisions

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 == Archy ==
+{{Main| Superpyth }}
 [[Subgroup]]: 2.3.7
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 === Overview to extensions ===
-Adding [[50/49]] to the list of commas gives pajara, [[36/35]] gives dominant, [[16/15]] gives mother, [[126/125]] gives augene, [[28/27]] gives blacksmith, [[245/243]] gives superpyth, [[250/243]] gives porcupine, [[686/675]] gives beatles, [[360/343]] gives schism, [[3125/3087]] gives passion, [[2430/2401]] gives quasisuper, and [[4375/4374]] gives modus.
+Adding [[245/243]] to the list of commas gives superpyth; [[2430/2401]] gives quasisuper; [[36/35]] gives dominant; [[360/343]] gives schism; [[16/15]] gives mother. These all use the same generators as archy.
+[[50/49]] gives pajara with a semioctave period. [[126/125]] gives augene with a 1/3-octave period. [[28/27]] gives blacksmith with a 1/5-octave period. [[686/675]] gives beatles, splitting the fifth in two. [[250/243]] gives porcupine, splitting the fourth in three. [[4375/4374]] gives modus, splitting the fifth in four. [[3125/3087]] gives passion, splitting the fourth in five.
 Discussed under their respective 5-limit families are: