16edo: Difference between revisions

Sintel (talk | contribs)
Scales: -pathological
Cmloegcmluin (talk | contribs)
Theory: remove "Logarithmic divisions of intervals" table for same reasons it was removed from 15edo: https://en.xen.wiki/w/Talk:15edo#Table%20of%20divisors
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Four steps of 16edo gives the 300{{c}} minor third interval shared by [[12edo]] (and other multiples of [[4edo]]), and thus the familiar [[diminished seventh chord]] may be built on any scale step with 4 unique tetrads up to [[octave equivalence]].
Four steps of 16edo gives the 300{{c}} minor third interval shared by [[12edo]] (and other multiples of [[4edo]]), and thus the familiar [[diminished seventh chord]] may be built on any scale step with 4 unique tetrads up to [[octave equivalence]].
{| class="wikitable"
|+Logarithmic divisions of 16edo intervals
!Interval degree
!Cents
!2
!3
!4
!5
!6
!7
!8
|-
|2
|150
|★
|
|
|
|
|
|
|-
|3
|225
|
|★
|
|
|
|
|
|-
|4
|300
|★
|
|★
|
|
|
|
|-
|5
|375
|
|
|
|★
|
|
|
|-
|6
|450
|★
|★
|
|
|★
|
|
|-
|7
|525
|
|
|
|
|
|★
|
|-
|8
|600
|★
|
|★
|
|
|
|★
|-
|9
|675
|
|★
|
|
|
|
|
|-
|10
|750
|★
|
|
|★
|
|
|
|-
|11
|825
|
|
|
|
|
|
|
|-
|12
|900
|★
|★
|★
|
|★
|
|
|-
|13
|975
|
|
|
|
|
|
|
|-
|14
|1050
|★
|
|
|
|
|★
|
|-
|15
|1125
|
|★
|
|★
|
|
|
|-
|16
|1200
|★
|
|★
|
|
|
|★
|}


=== Odd harmonics ===
=== Odd harmonics ===