Bozu's opinions of various edos: Difference between revisions

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I see edo's as fitting into one or more of four different elemental makeups:
I see edo's as fitting into one or more of four different elemental makeups:


# Augmented. If X is divisible by three, X edo is "augmented type". The elemental basis of augmented type edo's is [[3edo]].
# Augmented. If X is divisible by three, X edo is "[[augmented]] type". The elemental basis of augmented type edo's is [[3edo]].
# Diminished. If X is divisible by four, X edo is "diminished type". The elemental basis of diminished type edo is [[4edo]].
# Diminished. If X is divisible by four, X edo is "[[diminished]] type". The elemental basis of diminished type edo is [[4edo]].
# Hyperpent. If X is divisible by five, X edo is "hyperpent". The elemental basis of hyperpent is [[5edo]].
# Hyperpent. If X is divisible by five, X edo is "hyperpent". The elemental basis of hyperpent is [[5edo]].
# Hypopent. If X is divisible by seven, X edo is "hypopent". The elemental basis of hypopent is [[7edo]].
# Hypopent. If X is divisible by seven, X edo is "hypopent". The elemental basis of hypopent is [[7edo]].
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== Sizes of edo's ==
== Sizes of edo's ==


Any X edo X<5 is terribly uninteresting, in my opinion.  These offer only drones with very few harmonies.  There isn't really enough room to provide any sort of harmonic motion.
Any X edo X<[[5edo|5]] is terribly uninteresting, in my opinion.  These offer only drones with very few harmonies.  There isn't really enough room to provide any sort of harmonic motion.


Any X edo X>=[[5edo|5]] but X<[[9edo|9]] is overconstrained. Harmonies are possible, different tonics are possible, but the possibilities are so limited that the differences between melodies are trivial. These tuning sets are what I have been personally calling "drone-like."
Any X edo X>=[[5edo|5]] but X<[[9edo|9]] is overconstrained. Harmonies are possible, different tonics are possible, but the possibilities are so limited that the differences between melodies are trivial. These tuning sets are what I have been personally calling "drone-like."
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[[1edo]] - LOL
[[1edo]] - LOL


[[2edo]] - 0th order [[diminished]].  Nothing interesting, too constrained.
[[2edo]] - 0th order diminished.  Nothing interesting, too constrained.


[[3edo]] - Elemental [[augmented]] type tuning. Fun for a minute or two, boring after that. Sounds augmented no matter what you play.
[[3edo]] - Elemental augmented type tuning. Fun for a minute or two, boring after that. Sounds augmented no matter what you play.


[[4edo]] - Elemental diminished type tuning. Fun for a minute or two, boring after that. Sounds diminished no matter what you play.
[[4edo]] - Elemental diminished type tuning. Fun for a minute or two, boring after that. Sounds diminished no matter what you play.