16edo: Difference between revisions

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| Fifth type = [[Mavila]] 9\16 675¢
| Fifth type = [[Mavila]] 9\16 675¢
| Common uses = mavila, metallic harmony
| Common uses = mavila, metallic harmony
| Important MOS = [[mavila]] anti-diatonic 2*3-5*2 (9\16, 1\1)<br/>[[mavila]] superdiatonic 7*2-2*1 (9\16, 1\1)<br/>[[gorgo]] 5*3-1*1 (3\16, 1\1)<br/>[[lemba]] 4*3-2*2 (3\16, 1\2)
| Important MOS = [[mavila]] anti-diatonic 2L5s 2223223 (9\16, 1\1)<br/>[[mavila]] superdiatonic 7L2s 222212221 (9\16, 1\1)<br/>[[gorgo]] 5L1s 555551 (3\16, 1\1)<br/>[[lemba]] 4L2s 332332 (3\16, 1\2)
}}
}}
== Theory ==
== Theory ==
'''16-EDO''' is the [[Equal_division_of_the_octave|equal division of the octave]] into sixteen narrow chromatic semitones each of 75 [[cent|cent]]s exactly. It is not especially good at representing most low-integer musical intervals, but it has a [[7/4|7/4]] which is only six cents sharp, and a [[5/4|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|equal division of the octave]] into sixteen narrow chromatic semitones each of 75 [[cent|cent]]s exactly. It is not especially good at representing most low-integer musical intervals, but it has a [[7/4|7/4]] which is only six cents sharp, and a [[5/4|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.