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'''3EDF''', if the attempt is made to use it as an actual scale, would divide the [[just perfect fifth]] into three equal parts, each of size 233.985 cents, which is to say (3/2)^(1/3) as a frequency ratio. It corresponds to 5.1285 [[edo]]. If we want to consider it to be a temperament, it tempers out [[16/15]], [[21/20]], [[28/27]], [[81/80]], and [[256/243]] as well as [[5edo]].
{{Infobox ET}}
'''3edf''', if the attempt is made to use it as an actual scale, would divide the [[just perfect fifth]] into three equal parts, each of size 233.985 cents, which is to say (3/2)<sup>1/3</sup> as a frequency ratio. It corresponds to 5.1285 [[edo]]. If we want to consider it to be a temperament, it tempers out [[16/15]], [[21/20]], [[28/27]], [[81/80]], and [[256/243]] as well as [[5edo]].


==Factoids about 3EDF==
== Factoids about 3edf ==
3EDF is related to the [[Gamelismic clan|gamelismic temperaments]], which temper out 1029/1024 in the 7-limit.
3edf's step size is close to the [[slendric]] temperament, which tempers out 1029/1024 in the 2.3.7 subgroup. It can be used as a slendric tuning. It also works well as a tuning for [[Extraclassical tonality|arto and tendo chords.]]


[[Category:Edf]]
== Intervals ==
[[Category:Edonoi]]
{| class="wikitable center-all"
! #
! Cents
!Approximate JI Ratios
|-
| 1
| 233.99
|8/7
|-
| 2
| 467.97
|55/42
|-
| 3
| 701.96
|exact 3/2
|}
 
== Music ==
* [https://www.youtube.com/watch?v=0ecvufTJowE Sequences & Chaos] by Bazil Müzik
 
[[Category:Listen]]
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