4:6:7: Difference between revisions

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{{Infobox Chord|ColorName=yo zo-7 no-5 or y,z7no5, har-7 no-5 or h7no5}}'''4:6:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. Due to having no fives, it is the first utonal chord that deviates from tonal music theory. As such, it is a candidate for [[metallic harmony]], a form of [[extraclassical tonality]] that employs 7 instead of 5 as its other prime.
{{Infobox Chord|ColorName=yo zo-7 no-5 or y,z7no5, har-7 no-5 or h7no5}}'''4:6:7''' is a [[7-limit]] [[chord]] found as a subset of the harmonic seventh chord, [[4:5:6:7]]. Due to having no fives, it is the first otonal chord that deviates from tonal music theory. As such, it is a candidate for [[metallic harmony]], a form of [[extraclassical tonality]] that employs 7 instead of 5 as its other prime.


== <span data-darkreader-inline-color="">Rotations around the octave</span> ==
== Rotations around the octave ==
[[File:SculpEufaDem4-6-7-onD.mp3|none|thumb|4:6:7 "Root position"]]
[[File:SculpEufaDem4-6-7-onD.mp3|none|thumb|4:6:7 "Root position"]]
[[File:SculpEufaDem6-7-8-onD.mp3|none|thumb|6:7:8 "1st inversion"]]
[[File:SculpEufaDem6-7-8-onD.mp3|none|thumb|6:7:8 "1st inversion"]]
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Chords related to this triad:
Chords related to this triad:


* 3:4:7 - open voicing
* 3:4:7 open voicing
* [[4:5:7]] - no threes version
* [[4:5:7]] no threes version
* [[4:5:6:7]] - full tetrad
* [[4:5:6:7]] full tetrad

Revision as of 10:05, 10 November 2025

Chord information
Harmonics 4:6:7
Subharmonics 1/(21:14:12)
Intervals from root 1/13/27/4
Cents from root 702¢969¢
Step intervals 3/2, 7/6
Step cents 702¢, 267¢
Color names yo zo-7 no-5 or y,z7no5
har-7 no-5 or h7no5
Prime limit 7
Genus 37 (21)
Intervallic odd limit 7
Otonal odd limit 7
Utonal odd limit 21
Consistent edos (d ≥ 2) 5edo**, 10edo*, 22edo*, 26edo*, …

4:6:7 is a 7-limit chord found as a subset of the harmonic seventh chord, 4:5:6:7. Due to having no fives, it is the first otonal chord that deviates from tonal music theory. As such, it is a candidate for metallic harmony, a form of extraclassical tonality that employs 7 instead of 5 as its other prime.

Rotations around the octave

4:6:7 "Root position"
6:7:8 "1st inversion"
7:8:12 "2nd inversion"

Related chords

Chords related to this triad:

  • 3:4:7 – open voicing
  • 4:5:7 – no threes version
  • 4:5:6:7 – full tetrad