125/81: Difference between revisions
CompactStar (talk | contribs) Created page with "{{Infobox Interval | Name = triptolemaic augmented fifth, Trithagorean ultrafifth | Color name = triyo 5th, y<sup>3</sup>5 }} In 5-limit just intonation, 125/81 is the '''triptolemaic augmented fifth''', equal to 25/16 lowered by 81/80. It also appears as a notable in the 3.5 subgroup, being the tritave-reduction of (5/3)<sub>3</sub>. It can be closely approximated by 17/11. == Approximation == {{Interval edo approximation|17/11}}" |
Correct math notation; move approximation info to the relevant section |
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'''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>. | |||
== Approximation == | == Approximation == | ||
This interval can be closely approximated by [[17/11]] and by 5 steps of [[8edo]]. | |||
{{Interval edo approximation|17/11}} | {{Interval edo approximation|17/11}} | ||