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]] [[~~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]].

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)

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* [[radon16]]

[[Category:128edo]]

[[Category:128edo| ]]

[[Category:Equal divisions of the octave]]

[[Category:Rodan]]

[[Category:Theory]]

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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]] [[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]].
+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)
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 * [[radon16]]
-[[Category:128edo]]
+[[Category:128edo| ]] <!-- main article -->
 [[Category:Equal divisions of the octave]]
 [[Category:Rodan]]
 [[Category:Theory]]