125/81: Difference between revisions
CompactStar (talk | contribs) No edit summary |
Correct math notation; move approximation info to the relevant section |
||
| (3 intermediate revisions by one other user not shown) | |||
| Line 3: | Line 3: | ||
| Color name = triyo 5th, y<sup>3</sup>5 | | 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>. | |||
== 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}} | ||