18/11: Difference between revisions

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'''18/11'''
{{Infobox Interval
|1 2 0 0 -1>
| Name = undecimal neutral sixth, Alpharabian tendoneutral sixth
| Color name = 1u6, lu 6th
| Sound = jid_18_11_pluck_adu_dr220.mp3
}}


852.5921 cents
'''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]].
== Approximation ==
{{Interval edo approximation|18/11}}
== See also ==
* [[11/9]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Iceface tuning]]


[[File:jid_18_11_pluck_adu_dr220.mp3]] [[:File:jid_18_11_pluck_adu_dr220.mp3|sound sample]]      [[Category:interval]]
[[Category:Sixth]]
[[Category:just_interval]]
[[Category:Neutral sixth]]
[[Category:listen]]
[[Category:Alpharabian]]
[[Category:minor_sixth]]
[[Category:Over-11 intervals]]
[[Category:neutral_sixth]]
{{Todo| expand }}
[[Category:ratio]]
[[Category:todo:expand]]

Latest revision as of 13:10, 3 November 2025

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.

Approximation

Edo approximations for 18/11 (852.59 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
7 5\7 857.14 +4.55 +2.65
14 10\14 857.14 +4.55 +5.31
17 12\17 847.06 -5.53 -7.84
21 15\21 857.14 +4.55 +7.96
24 17\24 850.00 -2.59 -5.18
31 22\31 851.61 -0.98 -2.53
38 27\38 852.63 +0.04 +0.13
45 32\45 853.33 +0.74 +2.78
52 37\52 853.85 +1.25 +5.43
55 39\55 850.91 -1.68 -7.71
59 42\59 854.24 +1.65 +8.09
62 44\62 851.61 -0.98 -5.06
69 49\69 852.17 -0.42 -2.40
76 54\76 852.63 +0.04 +0.25

See also

Retrieved from "https://en.xen.wiki/index.php?title=18/11&oldid=216050"