128edo: Difference between revisions

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[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave]]
[[Category:Rodan]]
[[Category:Rodan]]
[[Category:Theory]]

Revision as of 16:48, 26 February 2022

The 128 equal division divides the octave into 128 equal parts of exactly 9.375 cents each. It is the optimal patent val for 7-limit Rodan temperament. It tempers out 2109375/2097152 in the 5-limit; 245/243, 1029/1024 and 5120/5103 in the 7-limit; 385/384 and 441/440 in the limit. Being the power of two closest to division of the octave by the Germanic long hundred, it has a unit step which is the binary (fine) relative cent (or relative heptamu in MIDI terms) of 1edo.

See also 128 notes per octave on Alto Saxophon (Demo by Philipp Gerschlauer)

Scales