8edt: Difference between revisions

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m clean up...?
8edt : 4edt :: 10edo : 5edo. -redundant categories
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro}}
{{ED intro}}


{{todo|clarify|comment = why is 8edt the analog of 10edo? 8edt does not support 4L 5s (3/1-equivalent).|inline=1}}
As a double of [[4edt]], it is the analog of [[10edo]] being the double of [[5edo]]. 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]]. More precisely, 8edt is [[enfactored]] in the 3.5.7 subgroup.
 
As a double of [[4edt|4edt]], 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]]. More precisely, 8edt is [[enfactored]] in the 3.5.7 subgroup.


What it does introduce are flat [[2/1]] pseudo-octaves and sharp [[3/2]] perfect fifths, making it related to 5edo melodically. It is equivalent to 5edo with the [[3/1]] made just, by compressing the octave by 11.3 cents.
What it does introduce are flat [[2/1]] pseudo-octaves and sharp [[3/2]] perfect fifths, making it related to 5edo melodically. It is equivalent to 5edo with the [[3/1]] made just, by compressing the octave by 11.3 cents.
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{{Interval table}}
{{Interval table}}


[[Category:edt]]
[[Category:Macrotonal]]
[[Category:tritave]]
[[category:macrotonal]]