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{{Infobox ET}}
{{Infobox ET}}
The '''42 equal divisions of the octave''' ('''42edo'''), or '''42(-tone) equal temperament''' when viewed from a [[regular temperament]] perspective, is the [[equal]] division of the [[octave]] into 42 equal parts of 28.6 [[cent]]s each.
{{EDO intro|42}}
 
== Theory ==
== Theory ==
42edo has a patent val fifth (the step of which is not from [[7edo]], this being a first for EDOs of the form 7''n'') and a third both over 12 cents sharp, using the same 400 cent interval to represent [[5/4]] as does [[12edo]], which means it [[tempering out|tempers out]] 128/125. In the [[7-limit]], it tempers out 64/63 and [[126/125]], making it a tuning supporting [[augene]] temperament.
42edo has a patent val fifth (the step of which is not from [[7edo]], this being a first for EDOs of the form 7''n'') and a third both over 12 cents sharp, using the same 400 cent interval to represent [[5/4]] as does [[12edo]], which means it [[tempering out|tempers out]] 128/125. In the [[7-limit]], it tempers out 64/63 and [[126/125]], making it a tuning supporting [[augene]] temperament.
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