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, only capable of notating half-apotomes.

On 24-Sep-2016 in the Facebook Group: Microtonal Music and Tuning Theory, [[~~User:Cryptic Ruse|~~Cryptic Ruse]] 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.

On 24-Sep-2016 in the Facebook Group: Microtonal Music and Tuning Theory, [[Cryptic Ruse]] 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.

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.

Although ~~CRyptic~~ later abandoned these notations, the ~~principel~~ was adopted by George Secor and Dave Keenan for the notation of EDOs with bad fifths, where a bad ~~fidth~~ is defined as one with an error of more ~~tha~~ 10 cents.

Although Cryptic Ruse later abandoned these notations, the principle was adopted by George Secor and Dave Keenan for the notation of EDOs with bad fifths, where a bad fifth is defined as one with an error of more than 10 cents (check this).

== Apotome-fraction notations ==

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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.
-On 24-Sep-2016 in the Facebook Group: Microtonal Music and Tuning Theory, [[User:Cryptic Ruse|Cryptic Ruse]] 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.
+On 24-Sep-2016 in the Facebook Group: Microtonal Music and Tuning Theory, [[Cryptic Ruse]] 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.
 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.
-Although CRyptic later abandoned these notations, the principel was adopted by George Secor and Dave Keenan for the notation of EDOs with bad fifths, where a bad fidth is defined as one with an error of more tha 10 cents.
+Although Cryptic Ruse later abandoned these notations, the principle was adopted by George Secor and Dave Keenan for the notation of EDOs with bad fifths, where a bad fifth is defined as one with an error of more than 10 cents (check this).
 == Apotome-fraction notations ==