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'''8 equal divisions of the superoctave''' is a [[super-pitch]] tuning system that tetratively divides the superoctave into 8 equally spaced steps.

8edso is notable for containing a close approximation to [[3/1]] (as well as log<sub>2</sub>(3)) according to the analytic extension of the tetration developed by Kneser, hereby producing a strong approximation to the super-pitch equivalent of the [[Pythagorean tuning]]. Furthermore, it provides good representation of 5/1 as well as log<sub>2</sub>(5), thus being a strong 2.3.5 super-subgroup tuning and therefore being the best candidate for the super-pitch equivalent of [[12edo]]. 

== Intervals ==
{| class="wikitable"
|+
!Step
!Linear value
!Cents
!Tetrative intervals
!Common JI approximation
|-
|0
|1
|0.000
|
|[[1/1]] exact
|-
|1
|1.11149118
|182.996
|
|[[10/9]]
|-
|2
|1.22436140
|350.435
|log(log(5)) = [[5/1]] reduced
|[[5/4]], [[11/9]]
|-
|3
|1.33973255
|506.334
|
|[[4/3]]
|-
|4
|1.45878181
|653.717
|
|[[16/11]], [[19/13]]
|-
|5
|1.58278746
|794.961
|log(3) = [[3/1]] reduced
|[[8/5]], [[11/7]], [[19/12]]
|-
|6
|1.71318047
|932.013
|
|[[12/7]]
|-
|7
|1.85160598
|1066.533
|
|[[11/6]], [[13/7]]
|-
|8
|2
|1200.000
|
|[[2/1]] exact
|}