99/64: Difference between revisions

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Added info about how closely this interval is approximated by 27edo
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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''', 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]]