18/11: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = undecimal neutral sixth, Alpharabian tendoneutral sixth
| Ratio = 18/11
| Monzo = 1 2 0 0 -1
| Cents = 852.59206
| Name = undecimal neutral sixth
| Color name = 1u6, lu 6th
| Color name = 1u6, lu 6th
| Sound =  
| Sound = jid_18_11_pluck_adu_dr220.mp3
}}
}}
The <b>undecimal neutral sixth</b> is the [[Octave complement|octave-reduced complement]] of the difference between the 11th and 9th harmonic.
 
[[File:jid_18_11_pluck_adu_dr220.mp3]] [[:File:jid_18_11_pluck_adu_dr220.mp3|sound sample]]     [[Category:interval]]
'''18/11''' is an '''undecimal neutral sixth''', and the [[octave complement]] of [[11/9]], the difference between the 11th and 9th [[harmonic]]s. As this is the larger of two [[11-limit]] neutral sixths obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral sixth''' in [[Alpharabian tuning]].
[[Category:Interval]]
 
[[Category:neutral_sixth]]
== See also ==
[[Category:todo:expand]]
* [[11/9]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Iceface tuning]]
 
[[Category:Sixth]]
[[Category:Neutral sixth]]
[[Category:Alpharabian]]
[[Category:Over-11 intervals]]
{{Todo| expand }}

Latest revision as of 08:47, 30 September 2024

Interval information
Ratio 18/11
Factorization 2 × 32 × 11-1
Monzo [1 2 0 0 -1
Size in cents 852.5921¢
Names undecimal neutral sixth,
Alpharabian tendoneutral sixth
Color name 1u6, lu 6th
FJS name [math]\displaystyle{ \text{M6}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 7.62936
Weil norm (log2 max(n, d)) 8.33985
Wilson norm (sopfr(nd)) 19

[sound info]
Open this interval in xen-calc

18/11 is an undecimal neutral sixth, and the octave complement of 11/9, the difference between the 11th and 9th harmonics. As this is the larger of two 11-limit neutral sixths obtained by modifying Pythagorean intervals by 33/32, it is dubbed the Alpharabian tendoneutral sixth in Alpharabian tuning.

See also