8edt: Difference between revisions
8edt : 4edt :: 10edo : 5edo. -redundant categories |
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As | == Theory == | ||
As the 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 [[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. | 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 == | === Harmonics === | ||
{{Harmonics in equal|8|3|1|}} | {{Harmonics in equal|8|3|1|}} | ||
{{Harmonics in equal|8|3|1|intervals=prime}} | {{Harmonics in equal|8|3|1|intervals=prime}} | ||