128/99: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
No edit summary
Fredg999 (talk | contribs)
m Misc. edits, categories
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 128/99
| Ratio = 128/99
| Monzo = 7 -2 0 0 -1
| Monzo = 7 -2 0 0 -1
Line 12: Line 11:
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 '''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 '''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]].  


== Approximation ==
This interval is especially close to the 10th step of [[27edo]].
This interval is especially close to the 10th step of [[27edo]].


Line 20: Line 20:


[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Interval ratio]]
[[Category:Just interval]]
[[Category:Subfourth]]
[[Category:Subfourth]]
[[Category:Fourth]]
[[Category:Fourth]]
[[Category:Alpharabian]]
[[Category:Alpharabian]]
{{todo|add color name}}

Revision as of 12:50, 21 March 2022

Interval information
Ratio 128/99
Factorization 27 × 3-2 × 11-1
Monzo [7 -2 0 0 -1
Size in cents 444.7721¢
Names undecimal subfourth,
minor fourth,
Alpharabian paraminor fourth,
just paraminor fourth
FJS name [math]\displaystyle{ \text{P4}_{11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 13.6294
Weil height (log2 max(n, d)) 14
Wilson height (sopfr(nd)) 31
Open this interval in xen-calc

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 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 twosquare comma.

Approximation

This interval is especially close to the 10th step of 27edo.

See also