5edo: Difference between revisions
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| Fifth = 3\5 = 720¢ | | Fifth = 3\5 = 720¢ | ||
| Major 2nd = 1\5 = 240¢ | | Major 2nd = 1\5 = 240¢ | ||
| Semitones = 1 | | Semitones = 1 : 0 | ||
| Consistency = 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]]. | ||
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| 960 | | 960 | ||
| sixth, seventh | | sixth, seventh | ||
| 26.871¢ from septimal major sixth [[12/7]] <br>13.076¢ from diminished seventh [[216/125]] <br>4.969¢ from augmented sixth [[125/72]] <br>-8.826¢ from septimal seventh [[7/4]] | | +26.871¢ from septimal major sixth [[12/7]] <br>+13.076¢ from diminished seventh [[216/125]] <br>+4.969¢ from augmented sixth [[125/72]] <br>-8.826¢ from septimal seventh [[7/4]] | ||
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| 5 | | 5 | ||