125/81: Difference between revisions

@@ Line 3: / Line 3: @@
 | Color name = triyo 5th, y<sup>3</sup>5
 }}
+'''125/81''', the '''triptolemaic augmented fifth''' or '''Trithagorean ultrafifth''', is a [[5-limit]] just interval equal to the Pythagorean augmented fifth [[6561/4096]] lowered by three syntonic commas (([[81/80]])<sup>3</sup>). It is also equal to [[25/16]] lowered by [[81/80]] and to [[128/81]] lowered by [[128/125]]. It also appears as a notable interval in the [[Trithagorean]] scale / [[3.5 subgroup]], being the [[3/1|tritave]]-reduction of ([[5/3]])<sup>3</sup>.
-In [[5-limit]] [[just intonation]], 125/81 is the '''triptolemaic augmented fifth''' or '''Trithagorean ultrafifth''', equal to [[25/16]] lowered by [[81/80]], or alternatively the Pythagorean minor sixth [[128/81]] lowered by [[128/125]]. It also appears as a notable interval in the [[Trithagorean]] scale/[[3.5 subgroup]], being the [[3/1|tritave]]-reduction of (5/3)<sub>3</sub>. It can be closely approximated by [[17/11]].
 == Approximation ==
+This interval can be closely approximated by [[17/11]] and by 5 steps of [[8edo]].
 {{Interval edo approximation|17/11}}