11/6: Difference between revisions

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'''11/6''' is the undecimal neutral seventh of about 1049.4 [[cent|cents]]. It can be treated as a consonance in [[11-limit]] harmony, forming a part of such chords as 6:7:9:11 (1-[[7/6]]-[[3/2]]-11/6) and the [[neutral tetrad]] 18:22:27:33 (1-[[11/9]]-[[3/2]]-11/6).
'''11/6''' is the '''undecimal neutral seventh''' of about 1049.4 [[cent]]s. It can be treated as a consonance in [[11-limit]] harmony, forming a part of such chords as 6:7:9:11 (1-[[7/6]]-[[3/2]]-11/6) and the [[neutral tetrad]] 18:22:27:33 (1-[[11/9]]-[[3/2]]-11/6).


Coincidentally, the ratio between the most common musical tuning frequency (A440) and the most common electrical AC frequency (60hz) is an 11/6, but two octaves up.
Coincidentally, the ratio between the most common musical tuning frequency (A440) and the most common electrical AC frequency (60hz) is an 11/6, but two octaves up.
== See also ==
* [[12/11]] its [[octave complement]]
* [[Gallery of just intervals]]


[[Category:11-limit]]
[[Category:11-limit]]
[[Category:interval]]
[[Category:Interval]]
[[Category:just_interval]]
[[Category:Ratio]]
[[Category:neutral_seventh]]
[[Category:Just interval]]
[[Category:ratio]]
[[Category:Neutral seventh]]
[[Category:seventh]]
[[Category:Seventh]]
[[Category:undecimal]]
[[Category:Undecimal]]

Revision as of 22:20, 31 October 2018

Interval information
Ratio 11/6
Factorization 2-1 × 3-1 × 11
Monzo [-1 -1 0 0 1
Size in cents 1049.363¢
Name undecimal neutral seventh
Color name 1o7, ilo 7th
FJS name [math]\displaystyle{ \text{m7}^{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 6.04439
Weil norm (log2 max(n, d)) 6.91886
Wilson norm (sopfr(nd)) 16

[sound info]
Open this interval in xen-calc

11/6 is the undecimal neutral seventh of about 1049.4 cents. It can be treated as a consonance in 11-limit harmony, forming a part of such chords as 6:7:9:11 (1-7/6-3/2-11/6) and the neutral tetrad 18:22:27:33 (1-11/9-3/2-11/6).

Coincidentally, the ratio between the most common musical tuning frequency (A440) and the most common electrical AC frequency (60hz) is an 11/6, but two octaves up.

See also