16edo: Difference between revisions

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'''16-EDO''' is the [[equal division of the octave]] into sixteen narrow chromatic semitones each of 75 [[cent]]s exactly. It is not especially good at representing most low-odd-limit musical intervals, but it has a [[7/4]] which is only six cents sharp, and a [[5/4]] which is only eleven cents flat. Four steps of it gives the 300 cent minor third interval, the same of that 12-EDO, giving it four diminished seventh chords exactly like those of [[12edo|12-EDO]], and a diminished triad on each scale step.
'''16-EDO''' is the [[equal division of the octave]] into sixteen narrow chromatic semitones each of 75 [[cent]]s exactly. It is not especially good at representing most low-odd-limit musical intervals, but it has a [[7/4]] which is only six cents sharp, and a [[5/4]] which is only eleven cents flat. Four steps of it gives the 300 cent minor third interval, the same of that 12-EDO, giving it four diminished seventh chords exactly like those of [[12edo|12-EDO]], and a diminished triad on each scale step.


===Differences between distributionally-even scales and smaller edos===
{| class="wikitable"
|+
!N
!L-Nedo
!s-Nedo
|-
|3
|50¢
| -25¢
|-
|5
|60¢
| -15¢
|-
|6
|25¢
| -50¢
|-
|7
|54.571¢
| -21.429¢
|-
|9
|16.667¢
| -58.333¢
|-
|10
|30¢
| -45¢
|-
|11
|33.909¢
| -41.091¢
|-
|12
|50¢
| -25¢
|-
|13
|57.692¢
| -17.308¢
|-
|14
|64.286¢
| -10.714¢
|-
|15
|70¢
| -5¢
|}
==Intervals==
==Intervals==