99/64: Difference between revisions
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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]]). Despite being relatively more complex, 99/64 is actually pretty useful as an interval for those who work more extensively with the 11-limit. | 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]]). | ||
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]] has stated that it is useful as a large interseptimal interval 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 Marcheto (or Marchettus or Marcheto) of Padua in 1318 than her own older septimal interpretation of the same interval. | |||
== Approximation == | == Approximation == | ||
Revision as of 17:28, 8 May 2025
| Interval information |
undecimal major fifth,
Alpharabian paramajor fifth,
just paramajor fifth
reduced harmonic
In 11-limit just intonation, 99/64 is an undecimal superfifth of about 755.2 ¢. 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).
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 has stated that it is useful as a large interseptimal interval 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 Marcheto (or Marchettus or Marcheto) 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.