99/64: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = undecimal superfifth, undecimal major fifth, Alpharabian paramajor fifth, just paramajor fifth
| Name = undecimal superfifth, undecimal major fifth, Alpharabian paramajor fifth, just paramajor fifth
| Color name = 1o5, ilo 5th
}}
}}
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.

Revision as of 01:40, 29 December 2022

Interval information
Ratio 99/64
Factorization 2-6 × 32 × 11
Monzo [-6 2 0 0 1
Size in cents 755.2279¢
Names undecimal superfifth,
undecimal major fifth,
Alpharabian paramajor fifth,
just paramajor fifth
Color name 1o5, ilo 5th
FJS name [math]\displaystyle{ \text{P5}^{11} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 12.6294
Weil height (log2 max(n, d)) 13.2587
Wilson height (sopfr(nd)) 29
Open this interval in xen-calc

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.

See also