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:Equal divisions of the octave]]

[[Category:~~rodan~~]]

[[Category:Rodan]]

[[Category:~~theory~~]]

[[Category:Theory]]

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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:Equal divisions of the octave]]
-[[Category:rodan]]
+[[Category:Rodan]]
-[[Category:theory]]
+[[Category:Theory]]