64/63: Difference between revisions

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If you are using 9/7 major thirds, this also implies that the major third is split into two equal steps that represent both [[9/8]] and [[8/7]]: If a stack of four fifths gets you to (octave-equivalent) 9/7, and a stack of two fifths gets you to 9/8, then the difference must be (9/7)/(9/8) = 8/7. The 8/7 and 9/8 intervals are equal, however, as a result of the generation process.

On the other hand, if you should be so bold as to treat the Archytas' comma as a musical interval in its own right, you will find that it acts as a sort of chroma, and is perhaps among the smallest intervals capable of this kind of function- specifically, it functions as the septimal equivalent of [[55/54]], from which it differs by a [[385/384|keenanisma]].

On the other hand, if you should be so bold as to treat the Archytas' comma as a musical interval in its own right, you will find that it acts as a sort of chroma, and is perhaps among the smallest intervals capable of this kind of function – specifically, it functions as the septimal equivalent of [[55/54]], from which it differs by a [[385/384|keenanisma]].

== See also ==

* [[Septimal comma]] (disambiguation page)

* [[Archytas family]]

* [[Archytas clan]]

* [[Small comma]]

* [[Gallery of just intervals]]

* [[~~Comma~~]]

* [[List of superparticular intervals]]

* [[~~63/62]]~~

* [[Wikipedia: Septimal comma]]

* [[65/64]]

== External links ==

* [https://de.wikipedia.org/wiki/Komma_(Musik)#Septimales_Komma Wikipedia: Komma (Musik) #Septimales Komma (German)]

* [https://en.wikipedia.org/wiki/Septimal_comma Septimal comma - Wikipedia]

* [https://de.wikipedia.org/wiki/Komma_(Musik)#Septimales_Komma Komma (Musik) ~~- Wikipedia~~ #~~Septimales_Komma~~]

[[Category:7-limit]]

@@ Line 15: / Line 15: @@
 If you are using 9/7 major thirds, this also implies that the major third is split into two equal steps that represent both [[9/8]] and [[8/7]]: If a stack of four fifths gets you to (octave-equivalent) 9/7, and a stack of two fifths gets you to 9/8, then the difference must be (9/7)/(9/8) = 8/7. The 8/7 and 9/8 intervals are equal, however, as a result of the generation process.
-On the other hand, if you should be so bold as to treat the Archytas' comma as a musical interval in its own right, you will find that it acts as a sort of chroma, and is perhaps among the smallest intervals capable of this kind of function- specifically, it functions as the septimal equivalent of [[55/54]], from which it differs by a [[385/384|keenanisma]].
+On the other hand, if you should be so bold as to treat the Archytas' comma as a musical interval in its own right, you will find that it acts as a sort of chroma, and is perhaps among the smallest intervals capable of this kind of function – specifically, it functions as the septimal equivalent of [[55/54]], from which it differs by a [[385/384|keenanisma]].
 == See also ==
 * [[Septimal comma]] (disambiguation page)
+* [[Archytas family]]
+* [[Archytas clan]]
+* [[Small comma]]
 * [[Gallery of just intervals]]
-* [[Comma]]
+* [[List of superparticular intervals]]
-* [[63/62]]
+* [[Wikipedia: Septimal comma]]
-* [[65/64]]
 == External links ==
+* [https://de.wikipedia.org/wiki/Komma_(Musik)#Septimales_Komma Wikipedia: Komma (Musik) #Septimales Komma (German)]
-* [https://en.wikipedia.org/wiki/Septimal_comma Septimal comma - Wikipedia]
-* [https://de.wikipedia.org/wiki/Komma_(Musik)#Septimales_Komma Komma (Musik) - Wikipedia #Septimales_Komma]
 [[Category:7-limit]]