99/64: Difference between revisions

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Created page with "{{Infobox Interval | Icon = | Ratio = 99/64 | Monzo = -6 2 0 0 1 | Cents = 755.22794 | Name = undecimal superfifth, <br>major fifth, <br>Alpharabian paramajor fifth, <br>just..."
 
Aura (talk | contribs)
Added info about how closely this interval is approximated by 27edo
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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.
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.
This interval is especially close to the 17th step of [[27edo]].


== See also ==
== See also ==

Revision as of 16:48, 9 March 2021

Interval information
Ratio 99/64
Factorization 2-6 × 32 × 11
Monzo [-6 2 0 0 1
Size in cents 755.2279¢
Names undecimal superfifth,
major fifth,
Alpharabian paramajor fifth,
just paramajor fifth
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 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 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.

This interval is especially close to the 17th step of 27edo.

See also