5:6:7: Difference between revisions

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{{Infobox Chord}}
{{Infobox Chord}}


{{stub}}
'''5:6:7''' is a [[diminished triad]] found as an upper structure of [[4:5:6:7]], the harmonic seventh chord. As a [[7-odd-limit]] [[otonal]] chord, this is the most [[consonant]] JI tuning of a diminished triad.


[[Category:Diminished triads|#]]
[[Category:Diminished triads|#]]

Revision as of 20:22, 19 August 2024

Chord information
Harmonics 5:6:7
Subharmonics 1/(42:35:30)
Intervals from root 1/16/57/5
Cents from root 316¢583¢
Step intervals 6/5, 7/6
Step cents 316¢, 267¢
Prime limit 7
Genus 357 (105)
Intervallic odd limit 7
Otonal odd limit 7
Utonal odd limit 35
Consistent edos (d ≥ 2) 4edo**, 8edo*, 19edo*, 23edo*, …

5:6:7 is a diminished triad found as an upper structure of 4:5:6:7, the harmonic seventh chord. As a 7-odd-limit otonal chord, this is the most consonant JI tuning of a diminished triad.