4:5:6:7: Difference between revisions

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TallKite (talk | contribs)
mNo edit summary
Bcmills (talk | contribs)
Move Name from infobox to prose. This appears to be the only remaining page with the Name field, which I can then remove: this chord is the only one whose name is actually unambiguous. (Eventually we'll probably replace it with a Category field.)
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{{Infobox Chord|4:5:6:7|Name=harmonic seventh, barbershop seventh|ColorName=yo zo-7 or y,z7, har-7 or h7}}
{{Infobox Chord|4:5:6:7|ColorName=yo zo-7 or y,z7, har-7 or h7}}
{{Wikipedia|Harmonic seventh chord}}
{{Wikipedia|Harmonic seventh chord}}
'''4:5:6:7''', the ''harmonic seventh chord'', is a [[tetrad]] in [[7-limit]] harmony. It is often used as a tuning target for the [[dominant seventh chord]] in barbershop music (→ [[Wikipedia: Harmonic seventh chord #Barbershop seventh ]]), and also for the German sixth chord in [[septimal meantone]].  
'''4:5:6:7''', the ''harmonic seventh chord'' or ''barbershop seventh'', is a [[tetrad]] in [[7-limit]] harmony. It is often used as a tuning target for the [[dominant seventh chord]] in barbershop music (→ [[Wikipedia: Harmonic seventh chord #Barbershop seventh ]]), and also for the German sixth chord in [[septimal meantone]].  


It is a [[dyadic chord]] in the [[odd limit|7-odd limit]], with its most complex interval a [[7/5]] tritone. It is the [[octave reduction|octave-reduced]] version of the first four odd harmonics, 1:3:5:7, or the first eight harmonics, 1::8.  
It is a [[dyadic chord]] in the [[odd limit|7-odd limit]], with its most complex interval a [[7/5]] tritone. It is the [[octave reduction|octave-reduced]] version of the first four odd harmonics, 1:3:5:7, or the first eight harmonics, 1::8.  

Revision as of 00:50, 2 October 2024

Chord information
Harmonics 4:5:6:7
Subharmonics 1/(105:84:70:60)
Intervals from root 1/15/43/27/4
Cents from root 386¢702¢969¢
Step intervals 5/4, 6/5, 7/6
Step cents 386¢, 316¢, 267¢
Color names yo zo-7 or y,z7
har-7 or h7
Prime limit 7
Genus 357 (105)
Intervallic odd limit 7
Otonal odd limit 7
Utonal odd limit 105
Consistent edos (d ≥ 2) 31edo*, 41edo*, 68edo*, 72edo*
English Wikipedia has an article on:

4:5:6:7, the harmonic seventh chord or barbershop seventh, is a tetrad in 7-limit harmony. It is often used as a tuning target for the dominant seventh chord in barbershop music (→ Wikipedia: Harmonic seventh chord #Barbershop seventh ), and also for the German sixth chord in septimal meantone.

It is a dyadic chord in the 7-odd limit, with its most complex interval a 7/5 tritone. It is the octave-reduced version of the first four odd harmonics, 1:3:5:7, or the first eight harmonics, 1::8.