128edo: Difference between revisions
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The 128 equal division divides the [[octave]] into 128 equal parts of exactly 9.375 [[cent]]s each. It is the [[optimal patent val]] for [[7-limit]] [[ | The 128 equal division divides the [[octave]] into 128 equal parts of exactly 9.375 [[cent]]s 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 [[Wikipedia: long hundred| long hundred]], it has a unit step which is the binary (fine) relative cent (or relative heptamu in MIDI terms) of [[1edo]]. | ||
See also [https://www.youtube.com/watch?v=lGa66qHzKME 128 notes per octave on Alto Saxophon] (Demo by Philipp Gerschlauer) | See also [https://www.youtube.com/watch?v=lGa66qHzKME 128 notes per octave on Alto Saxophon] (Demo by Philipp Gerschlauer) | ||
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* [[radon16]] | * [[radon16]] | ||
[[Category:128edo]] | [[Category:128edo| ]] <!-- main article --> | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
[[Category:Rodan]] | [[Category:Rodan]] | ||
[[Category:Theory]] | [[Category:Theory]] | ||
Revision as of 18:27, 23 February 2021
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)