15/11: Difference between revisions

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'''15/11'''
{{Infobox Interval
|0 1 1 0 -1>
| Icon =
| Ratio = 15/11
| Monzo = 0 1 1 0 -1
| Cents = 536.95077
| Name = undecimal augmented fourth
| Color name =
| Sound = jid_15_11_pluck_adu_dr220.mp3
}}


536.95077 cents
The '''undecimal augmented fourth''', or '''15/11''', is the difference between the 11th and 15th partials of the [[harmonic series]]. It is 536.95 [[cent]]s wide, exactly [[45/44]] larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo]] fourth. It is narrower than [[11/8]] by exactly [[121/120]]. 15/11 can be called a [[superfourth]], as it falls between the [[interval category|interval categories]] of [[perfect fourth]] and [[tritone]]. 4 steps of [[9edo]] is an excellent approximation for 15/11.


[[File:jid_15_11_pluck_adu_dr220.mp3]] [[:File:jid_15_11_pluck_adu_dr220.mp3|sound sample]]
== See also ==


The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the [[OverToneSeries|harmonic series]]. It is 536.95 [[cent|cents]] wide, exactly [[45/44|45/44]] larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo|12edo]] fourth. It is narrower than [[11/8|11/8]] by exactly [[121/120|121/120]]. 15/11 can be called a [[Superfourth|superfourth]], as it falls between the [[interval_category|interval categories]] of [[Perfect_fourth|perfect fourth]] and [[tritone|tritone]]. 4 steps of [[9edo|9edo]] is an excellent approximation for 15/11.
* [[Gallery of just intervals]]
* [[22/15]] -- its [[octave complement]]


See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:11-limit]]
[[Category:11-limit]]
[[Category:fourth]]
[[Category:Fourth]]
[[Category:interval]]
[[Category:Interval ratio]]
[[Category:just_interval]]
[[Category:Just interval]]
[[Category:ratio]]
[[Category:Superfourth]]
[[Category:superfourth]]
[[Category:Undecimal]]
[[Category:undecimal]]

Revision as of 21:36, 13 June 2020

Interval information
Ratio 15/11
Factorization 3 × 5 × 11-1
Monzo [0 1 1 0 -1⟩
Size in cents 536.9508¢
Name undecimal augmented fourth
FJS name [math]\displaystyle{ \text{A4}^{5}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 7.36632
Weil height (log2 max(n, d)) 7.81378
Wilson height (sopfr(nd)) 19

[sound info]
Open this interval in xen-calc

The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the harmonic series. It is 536.95 cents wide, exactly 45/44 larger than a perfect fourth, and almost exactly a sixth-tone sharper than a 12edo fourth. It is narrower than 11/8 by exactly 121/120. 15/11 can be called a superfourth, as it falls between the interval categories of perfect fourth and tritone. 4 steps of 9edo is an excellent approximation for 15/11.

See also

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