4:5:6:7:9:11: Difference between revisions

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{{Infobox Chord}}
{{Infobox Chord}}
'''4:5:6:7:9:11''', the '''harmonic eleventh chord''', is a hexad in [[11-limit]] harmony. It can be considered the fundamental otonal consonance of the [[11-odd-limit]], voiced in a roughly tertian manner.
'''4:5:6:7:9:11''', the '''harmonic eleventh chord''', is a hexad in [[11-limit]] harmony. It can be considered the fundamental otonal consonance of the [[11-odd-limit]], voiced in a roughly tertian manner. It is an extension of [[4:5:6]], [[4:5:6:7]], and [[4:5:6:7:9]].


== See also ==
== See also ==
* [[1260:1540:1980:2310:2772:3465]] - its melodic inverse
* [[1260:1540:1980:2310:2772:3465]] - its melodic inverse

Revision as of 04:59, 26 November 2025

Chord information
Harmonics 4:5:6:7:9:11
Intervals from root 1/15/43/27/49/411/4
Cents from root 386¢702¢969¢1404¢1751¢
Step intervals 5/4, 6/5, 7/6, 9/7, 11/9
Step cents 386¢, 316¢, 267¢, 435¢, 347¢
Prime limit 11
Genus 325711 (3465)
Intervallic odd limit 11
Otonal odd limit 11
Utonal odd limit 3465
Consistent edos (d ≥ 1.5) 31edo, 46edo, 72edo*

4:5:6:7:9:11, the harmonic eleventh chord, is a hexad in 11-limit harmony. It can be considered the fundamental otonal consonance of the 11-odd-limit, voiced in a roughly tertian manner. It is an extension of 4:5:6, 4:5:6:7, and 4:5:6:7:9.

See also