128edo: Difference between revisions

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The 128 equal division divides the [[Octave|octave]] into 128 equal parts of exactly 9.375 [[cent|cent]]s each. It is the [[Optimal_patent_val|optimal patent val]] for [[7-limit|7-limit]] [[Gamelismic_clan|rodan temperament]]. It [[tempering_out|tempers out]] 2109375/2097152 in the [[5-limit|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 [https://en.wikipedia.org/wiki/Long_hundred long hundred], it has a unit step which is the binary (fine) relative cent (or relative heptamu in MIDI terms) of [[1edo]].
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]] [[Gamelismic clan|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 [https://en.wikipedia.org/wiki/Long_hundred long hundred], it has a unit step which is the binary (fine) relative cent (or relative heptamu in MIDI terms) of [[1edo]].


=Scales=
See also [https://www.youtube.com/watch?v=lGa66qHzKME 128 notes per octave on Alto Saxophon] (Demo by Philipp Gerschlauer)
[[radon5|radon5]]


[[radon11|radon11]]
== Scales ==


[[radon16|radon16]]
* [[radon5]]
* [[radon11]]
* [[radon16]]


[https://www.youtube.com/watch?v=lGa66qHzKME 128 notes per octave on Alto Saxophon] - Philipp Gerschlauer
[[Category:128edo]]
[[Category:128edo]]
[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave]]
[[Category:rodan]]
[[Category:Rodan]]
[[Category:theory]]
[[Category:Theory]]

Revision as of 13:43, 20 December 2020

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