384edo: Difference between revisions

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The '''384 equal divisions of the octave''' ('''384edo'''), or '''384(-tone) equal temperament''' ('''384tet''', '''384et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 384 [[equal]] parts of 3.125 [[Cent|cents]] each. Its adjacent step is known as '''Pentamu''' (fifth MIDI-resolution unit, 5mu, 2<sup>5</sup> = 32 equal divisions of the [[12edo]] semitone).

{{~~harmonics in equal~~|384~~|prec~~=~~3|start~~=~~2|intervals~~=~~prime}}~~

== Theory ==

384edo is consistent in the 7-limit, tempering out the misty comma [[Misty comma|[26 -12 -3⟩]], and the 5-limit tritriple comma [31 20 -27⟩ in the 5-limit, and [[3136/3125]], [[5120/5103]], [[Landscape comma|250047/250000]], and the mistisma [[Mistismic temperaments|458752/455625]] in the 7-limit.

=== Relation to powers of two ===

Its adjacent step is known as '''Pentamu''' (fifth MIDI-resolution unit, 5mu, 2<sup>5</sup> = 32 equal divisions of the [[12edo]] semitone). In addition, in light of 384 being a multiple of 32, 384bc val supports [[windrose]] temperament in the 7-limit.

=== Prime harmonics ===

== See also ==

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 {{Infobox ET}}
-The '''384 equal divisions of the octave''' ('''384edo'''), or '''384(-tone) equal temperament''' ('''384tet''', '''384et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 384 [[equal]] parts of 3.125 [[Cent|cents]] each. Its adjacent step is known as '''Pentamu''' (fifth MIDI-resolution unit, 5mu, 2<sup>5</sup> = 32 equal divisions of the [[12edo]] semitone).
+{{EDO intro|384}}
-{{harmonics in equal|384|prec=3|start=2|intervals=prime}}
+== Theory ==
 edo is consistent in the 7-limit, tempering out the misty comma [[Misty comma|[26 -12 -3⟩]], and the 5-limit tritriple comma [31 20 -27⟩ in the 5-limit, and [[3136/3125]], [[5120/5103]], [[Landscape comma|250047/250000]], and the mistisma [[Mistismic temperaments|458752/455625]] in the 7-limit.
+=== Relation to powers of two ===
+Its adjacent step is known as '''Pentamu''' (fifth MIDI-resolution unit, 5mu, 2<sup>5</sup> = 32 equal divisions of the [[12edo]] semitone). In addition, in light of 384 being a multiple of 32, 384bc val supports [[windrose]] temperament in the 7-limit.
+=== Prime harmonics ===
+{{harmonics in equal|384|prec=3|start=2|intervals=prime}}
 == See also ==