99/64: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = undecimal superfifth, undecimal major fifth, Alpharabian paramajor fifth, just paramajor fifth
| Ratio = 99/64
| Color name = 1o5, ilo 5th
| Monzo = -6 2 0 0 1
| Cents = 755.22794
| Name = undecimal superfifth, <br>major fifth, <br>Alpharabian paramajor fifth, <br>just paramajor fifth
| Color name =  
| FJS name =
| Sound =
}}
}}
In [[11-limit]] [[just intonation]], '''99/64''' is an '''undecimal superfifth''' of about 755.2{{cent}}. This interval is also known as the '''undecimal major fifth''' through analogy with [[16/11]] being the "minor fifth" as named by [[Ivan Wyschnegradsky]], and can additionally be somewhat similarly dubbed the '''Alpharabian paramajor fifth''' or even the '''just paramajor fifth'''. It is distinguished from the simpler [[17/11]] by the twosquare comma ([[1089/1088]]).


In [[11-limit]] [[just intonation]], '''99/64''' is an '''undecimal [[superfifth]]'''  of about 755.2[[cent|&cent;]].  This interval is also known as the '''major fifth''' through analogy with [[16/11]] being the "minor fifth" as named by [[Ivan Wyschnegradsky]], and can additionally be somewhat similarly dubbed the '''Alpharabian paramajor fifth''' or even the '''just paramajor fifth'''.  It is distinguished from the simpler [[17/11]] by the [[1089/1088|twosquare comma]].  Despite being relatively more complex, 99/64 is actually pretty useful as an interval for those who work more extensively with the 11-limit.
Despite being relatively more complex, 99/64 is actually pretty useful as an interval for those who work more extensively with the 11-limit.  For example, [[Margo Schulter]] [https://en.xen.wiki/index.php?title=User_talk%3ASintel%2FNotability_guidelines&diff=195720&oldid=195719 has stated] that it is useful in a Neo-Medieval European setting as a substitute for [[14/9]], and is closer to the likeliest interpretation- such as that of Jay Rahn- of [[Wikipedia: Marchetto da Padova|Marcheto]] (or Marchettus or Marchetto) of Padua in 1318 than her own older septimal interpretation of the same interval.


== Approximation ==
This interval is especially close to the 17th step of [[27edo]].
This interval is especially close to the 17th step of [[27edo]].


== See also ==
== See also ==
* [[128/99]] – its [[octave complement]]
* [[128/99]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:11-limit]]
[[Category:Fifth]]
[[Category:Interval ratio]]
[[Category:Superfifth]]
[[Category:Superfifth]]
[[Category:Fifth]]
[[Category:Alpharabian]]
[[Category:Alpharabian]]