99/64: Difference between revisions
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| Monzo = -6 2 0 0 1 | | Monzo = -6 2 0 0 1 | ||
| Cents = 755.22794 | | Cents = 755.22794 | ||
| Name = undecimal superfifth, <br>major fifth, <br>Alpharabian paramajor fifth, <br>just paramajor fifth | | Name = undecimal superfifth, <br>undecimal major fifth, <br>Alpharabian paramajor fifth, <br>just paramajor fifth | ||
| Color name = | | Color name = | ||
| FJS name = | | FJS name = | ||
| Sound = | | Sound = | ||
}} | }} | ||
In [[11-limit]] [[just intonation]], '''99/64''' is an '''undecimal superfifth''' of about 755.2{{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 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. | ||
== Approximation == | == Approximation == | ||
Revision as of 14:22, 6 July 2022
| 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.
Approximation
This interval is especially close to the 17th step of 27edo.