5edo: Difference between revisions
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{{Infobox ET | {{Infobox ET | ||
| Prime factorization = 5 (prime) | | Prime factorization = 5 (prime) | ||
| Step size = 240¢ | | Step size = 240¢, Relative Radian = 38.19719¢ | ||
| Fifth = 3\5 = 720¢ | | Fifth = 3\5 = 720¢ | ||
| Major 2nd = 1\5 = 240¢ | | Major 2nd = 1\5 = 240¢ | ||
| Semitones = 1 : 0 | | Semitones = 1 : 0 | ||
| Consistency = 9 | | Consistency = 9 | ||
| Monotonicity = 9 | | Monotonicity = 9}} | ||
'''5 equal divisions of the octave''' (or '''5edo''') is the [[tuning system]] derived by dividing the [[octave]] into 5 equal steps of 240 [[cent]]s each, or the fifth root of two. 5edo is the third [[prime edo]], after [[2edo|2edo]] and [[3edo|3edo]]. Most importantly, 5edo is the smallest [[edo]] containing xenharmonic intervals — 1edo, 2edo, 3edo, and 4edo are all subsets of [[12edo|12edo]]. | '''5 equal divisions of the octave''' (or '''5edo''') is the [[tuning system]] derived by dividing the [[octave]] into 5 equal steps of 240 [[cent]]s each, or the fifth root of two. 5edo is the third [[prime edo]], after [[2edo|2edo]] and [[3edo|3edo]]. Most importantly, 5edo is the smallest [[edo]] containing xenharmonic intervals — 1edo, 2edo, 3edo, and 4edo are all subsets of [[12edo|12edo]]. | ||