User:Dave Keenan/sandbox: Difference between revisions

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[[Chain-of-fifths_notation#Accidentals|Stein-Zimmermann notation]] can be viewed as a very simple apotome-fraction notation, notating only half-apotomes.
[[Chain-of-fifths_notation#Accidentals|Stein-Zimmermann notation]] can be viewed as a very simple apotome-fraction notation, notating only half-apotomes.


On 24-Sep-2016 in the Facebook Group: Microtonal Music and Tuning Theory, [[Cryptic Ruse]] introduced the idea of using [https://www.facebook.com/groups/497105067092502/permalink/840445019425170/ | a combination of apotome-fraction and limma-fraction notations] to cover all EDOs up to 72. This may have been the first proposal of a limma fraction notation.
On 24-Sep-2016 in the Facebook Group: Microtonal Music and Tuning Theory, [[Cryptic Ruse]] introduced the idea of using [https://www.facebook.com/groups/497105067092502/permalink/840445019425170/ a combination of apotome-fraction and limma-fraction notations] to cover all EDOs up to 72. This may have been the first proposal of a limma fraction notation.


When the EDO has fifths so narrow that the apotome becomes very small or negative (e.g. 33-EDO), a limma-fraction notation must be used. When the EDO has fifths so wide that the limma becomes very small or negative (e.g. 32-EDO), an apotome-fraction notation must be used.  
When the EDO has fifths so narrow that the apotome becomes very small or negative (e.g. 33-EDO), a limma-fraction notation must be used. When the EDO has fifths so wide that the limma becomes very small or negative (e.g. 32-EDO), an apotome-fraction notation must be used.