11/1: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
m Added to category “equivalence interval”
+"undecuple"
 
(4 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = 11th harmonic
| Name = 11th harmonic, undecuple
| Color name = c<sup>3</sup>1o4, tricolo 4th
| Color name = c<sup>3</sup>1o4, tricolo 4th
| Sound = jid_11_1_pluck_adu_dr55.mp3
| Sound = jid_11_1_pluck_adu_dr55.mp3
}}
}}
 
'''11/1''', the '''11th harmonic''' or '''undecuple''', is the [[harmonic]] past [[10/1]] and before [[12/1]]. It is three [[octave]]s above [[11/8]], and is the basis of [[11-limit]] harmony, as many 11-limit intervals can be expressed as the difference between this and another harmonic.  
'''11/1''' is the 11th harmonic; three octaves above [[11/8]].


== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
[[Category:Equivalence interval]]
* [[Ed11]]

Latest revision as of 10:33, 31 March 2025

Interval information
Ratio 11/1
Subgroup monzo 11 [1
Size in cents 4151.318¢
Names 11th harmonic,
undecuple
Color name c31o4, tricolo 4th
FJS name [math]\displaystyle{ \text{P25}^{11} }[/math]
Special properties harmonic,
prime harmonic
Tenney norm (log2 nd) 3.45943
Weil norm (log2 max(n, d)) 6.91886
Wilson norm (sopfr(nd)) 11

[sound info]
Open this interval in xen-calc

11/1, the 11th harmonic or undecuple, is the harmonic past 10/1 and before 12/1. It is three octaves above 11/8, and is the basis of 11-limit harmony, as many 11-limit intervals can be expressed as the difference between this and another harmonic.

See also