11/6: Difference between revisions

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'''11/6'''
{{Infobox Interval
|-1 -1 0 0 1>
| Icon =
| Ratio = 11/6
| Monzo = -1 -1 0 0 1
| Cents = 1049.3629
| Name = undecimal neutral seventh
| Sound = jid_11_6_pluck_adu_dr220.mp3
}}


1049.3629 cents
'''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).


[[File:jid_11_6_pluck_adu_dr220.mp3]] [[:File:jid_11_6_pluck_adu_dr220.mp3|sound sample]]
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.


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

Revision as of 22:27, 11 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
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.

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