5edf: Difference between revisions

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 == Theory ==
-edf is close to the [[bleu]] [[generator]] chain and every second step of [[17edo]]. 4 steps of 5edf is a fraction of a cent away to the seventh harmonic (which is [[112/81]] instead of [[7/4]] since the equave is 3/2), which is an extremely accurate approximation for the size of this scale.
+edf is close to the [[bleu]] [[generator]] chain and every second step of [[17edo]] (also known as [[17ed4]]) 5edf has an extremely accurate approximation of the seventh harmonic for its size.
+edf is notable as a relatively basic and easy-to-use nonoctave system. Traditional harmony using major and minor triads is accessible in 5edf, although they are not 5-limit but rather septimal/undecimal in flavor. One must be wary of the 3/2-equivalence paradigm-there is no dominant, and major and minor triads, seventh chords, ninth chords, etc. are all merely voicings of major and minor dyads. Diminished chords also play a more important role than they do traditionally, as unlike the conventional triads, they are not equivalent to dyads, and are somewhat more consonant than in [[12edo]] due to the laxer subtritone.
 === Harmonics ===
 {{Harmonics in equal|5|3|2|columns=15}}