16edo: Difference between revisions
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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 === |