5:6:7:9: Difference between revisions

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{{Infobox Chord|ColorName=gu-7 zogu-5 or g7(zg5)}}
{{Infobox Chord|ColorName=gu-7 zogu-5 or g7(zg5)}}


'''5:6:7:9''' is a [[concordant]] [[7-limit]] interpretation of the [[half-diminished seventh chord]] found in the [[Ringer_scale|Ringer 5]] scale. See also its [[Chord homonym|homonym]] [[6:7:9:10]], a ''minor sixth chord''.
'''5:6:7:9''' is a [[concordant]] [[7-limit]] interpretation of the [[half-diminished seventh chord]]. It can be thought of as the rootless version of the harmonic ninth chord, [[4:5:6:7:9]]. It is found in the [[Ringer scale|Ringer 5]] scale. See also its [[chord homonym|homonym]] [[6:7:9:10]], a minor-major sixth chord.


In [[archytas]] temperament, this chord is [[tempered together]] with [[45:54:64:81]].
In [[archytas]] temperament, this chord is [[tempered together]] with [[45:54:64:81]].


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[[Category:Half-diminished seventh chords|#]]
[[Category:Half-diminished seventh chords|#]]
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Revision as of 16:53, 27 January 2026

Chord information
Harmonics 5:6:7:9
Subharmonics 1/(126:105:90:70)
Intervals from root 1/16/57/59/5
Cents from root 316¢583¢1018¢
Step intervals 6/5, 7/6, 9/7
Step cents 316¢, 267¢, 435¢
Color name gu-7 zogu-5 or g7(zg5)
Prime limit 7
Genus 3257 (315)
Intervallic odd limit 9
Otonal odd limit 9
Utonal odd limit 105
Consistent edos (d ≥ 2) 19edo*, 27edo*, 41edo*, 72edo**

5:6:7:9 is a concordant 7-limit interpretation of the half-diminished seventh chord. It can be thought of as the rootless version of the harmonic ninth chord, 4:5:6:7:9. It is found in the Ringer 5 scale. See also its homonym 6:7:9:10, a minor-major sixth chord.

In archytas temperament, this chord is tempered together with 45:54:64:81.