8edt: Difference between revisions

If you view things from the perspective of the [[4L 5s (3/1-equivalent)|4L 5s<3/1>]] Bohlen-Pierce MOS scale, then 8edt could be seen as an analog of [[10edo]], since 8edt is a double of [[4edt]] (the collapsed form of the 4L 5s<3/1> scale, while 10edo is the double of [[5edo]] (the collapsed form of the [[5L 2s]] diatonic scale). 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 [[enfactoring|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, which has the side effect of bringing the step size slightly closer to [[8/7]].

{{Harmonics in equal|8|3|1|}}

{{Harmonics in equal|8|3|1|intervals=prime}}

[[Category:Macrotonal]]