128/99: Difference between revisions

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In [[11-limit]] [[just intonation]], '''128/99''' is an '''undecimal subfourth''' measuring about 444.8¢. It is the inversion of [[99/64]], the undecimal superfifth.  This interval is also known as the '''undecimal minor fourth''' through analogy with [[11/8]] being the "major fourth" as named by [[Ivan Wyschnegradsky]], and can additionally be somewhat similarly dubbed the '''Alpharabian paraminor fourth''' or even the '''just paraminor fourth'''.  It is distinguished from the simpler [[22/17]] by the [[1089/1088|twosquare comma]].  
In [[11-limit]] [[just intonation]], '''128/99''' is an '''undecimal subfourth''' measuring about 444.8¢. It is the inversion of [[99/64]], the undecimal superfifth.  This interval is also known as the '''undecimal minor fourth''' through analogy with [[11/8]] being the "major fourth" as named by [[Ivan Wyschnegradsky]], and can additionally be somewhat similarly dubbed the '''Alpharabian paraminor fourth''' or even the '''just paraminor fourth'''.  It is distinguished from the simpler [[22/17]] by the [[1089/1088|twosquare comma]].  


Despite being relatively more complex, 128/99 is actually pretty useful as an interval for those who work more extensively with the 11-limit.  For example, [[Margo Schulter]] has stated that it is useful in a Neo-Medieval European setting as a substitute for [[9/7]], and is closer to the likeliest interpretation- such as that of Jay Rahn- of Marcheto (or Marchettus or Marchetto) of Padua in 1318 than her own older septimal interpretation of the same interval.
Despite being relatively more complex, 128/99 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 [[9/7]], 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 ==
== Approximation ==