8edt: Difference between revisions

CompactStar (talk | contribs)
Automatic interval table looks better here
CompactStar (talk | contribs)
No it is not lol
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{{Infobox ET}}
{{Infobox ET}}


'''8 equal divisions of the tritave''' ('''8edt''') is the [[nonoctave]] [[tuning system]] derived by dividing the [[tritave]] (3/1) into 13 equal steps of 237.744 [[cent]]s each, or the eighth root of 3. It is best known as the equal-tempered version of the [[Bohlen-Pierce]] scale. As the double of [[4edt|4edt]], harmonically, it is the analog of [[10edo]] for [[4L 5s (3/1-equivalent)|Lambda]]-based systems. However, the full 3:5:7 triad is already present in 4edt which is unlike the situation in 10edo where 4:5:6 gains a new better approximation than the sus4 triad in 5edo.  
'''8 equal divisions of the tritave''' ('''8edt''') is the [[nonoctave]] [[tuning system]] derived by dividing the [[tritave]] (3/1) into 13 equal steps of 237.744 [[cent]]s each, or the eighth root of 3. As the double of [[4edt|4edt]], harmonically, it is the analog of [[10edo]] for [[4L 5s (3/1-equivalent)|Lambda]]-based systems. However, the full 3:5:7 triad is already present in 4edt which is unlike the situation in 10edo where 4:5:6 gains a new better approximation than the sus4 triad in 5edo.  


What it does introduce are flat pseudooctaves and sharp 3:2's, making it related to 5edo melodically.
What it does introduce are flat pseudooctaves and sharp 3:2's, making it related to 5edo melodically.