210:252:315:360:560: Difference between revisions

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Created page with "{{Infobox chord}} '''1/(24:20:16:14:9)''', the ''subharmonic sixth added-eleventh chord'', is a pentad in 7-limit harmony. It is the inverse of 4:5:6:7:9, and can serve as the fundamental utonal consonance of the 9-odd-limit, with many chords being a subset of it or one of its inversions. This chord has a similar shape to 4:5:6:7:11, and can be obtained by inflecting the 5/4 down by 25/24, the 7/4 down by 49/48, and the 11/4 dow..."
 
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{{Infobox chord}}
{{Infobox chord|ColorName=sub-6 add-11 or s6,11, gu ru-6 add-11 or g,r6,11}}


'''1/(24:20:16:14:9)''', the ''subharmonic sixth added-eleventh chord'', is a [[pentad]] in [[7-limit]] harmony. It is the inverse of [[4:5:6:7:9]], and can serve as the fundamental utonal consonance of the [[9-odd-limit]], with many chords being a subset of it or one of its inversions.  
'''1/(24:20:16:14:9)''', a ''minor sixth added-eleventh chord'', is a [[pentad]] in [[7-limit]] harmony. It is the inverse of [[4:5:6:7:9]], and can serve as the fundamental utonal consonance of the [[9-odd-limit]], with many chords being a subset of it or one of its inversions.  


This chord has a similar shape to [[4:5:6:7:11]], and can be obtained by inflecting the [[5/4]] down by [[25/24]], the [[7/4]] down by [[49/48]], and the [[11/4]] down by [[33/32]].  
This chord has a similar shape to [[4:5:6:7:11]], and can be obtained by inflecting the [[5/4]] down by [[25/24]], the [[7/4]] down by [[49/48]], and the [[11/4]] down by [[33/32]].  

Revision as of 00:07, 11 March 2026

Chord information
Harmonics 210:252:315:360:560
Subharmonics 1/(24:20:16:14:9)
Intervals from root 1/1–6/5–3/2–12/7–8/3
Cents from root 0¢–316¢–702¢–933¢–1698¢
Step intervals 6/5, 5/4, 8/7, 14/9
Step cents 316¢, 386¢, 231¢, 765¢
Color names sub-6 add-11 or s6,11
gu ru-6 add-11 or g,r6,11
Prime limit 7
Genus 32⋅5⋅7 (315)
Intervallic odd limit 9
Otonal odd limit 315
Utonal odd limit 9
Consistent edos (d ≥ 1.5) 31edo, 41edo*, 46edo, 53edo, …

1/(24:20:16:14:9), a minor sixth added-eleventh chord, is a pentad in 7-limit harmony. It is the inverse of 4:5:6:7:9, and can serve as the fundamental utonal consonance of the 9-odd-limit, with many chords being a subset of it or one of its inversions.

This chord has a similar shape to 4:5:6:7:11, and can be obtained by inflecting the 5/4 down by 25/24, the 7/4 down by 49/48, and the 11/4 down by 33/32.

See also

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