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[[Chain-of-fifths_notation#Accidentals|Stein-Zimmermann notation]] can be viewed as a very simple apotome-fraction notation, only capable of notating half-apotomes. | [[Chain-of-fifths_notation#Accidentals|Stein-Zimmermann notation]] can be viewed as a very simple apotome-fraction notation, only capable of notating half-apotomes. | ||
On 24-Sep-2016 in the Facebook Group: Microtonal Music and Tuning Theory, [[Cryptic Ruse | On 24-Sep-2016 in the Facebook Group: Microtonal Music and Tuning Theory, [[Cryptic Ruse|Cryptic Ruse (aka Jason Yerger)]] introduced [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 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), limma-fraction notations 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), limma-fraction notations must be used. | ||