140:180:210:252:315: Difference between revisions

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{{Infobox Chord|ColorName=ru gu-7 add-9 or r,g7,9, sub-9 or s9}}
{{Infobox Chord|ColorName=sub-9 or s9, ru gu-7 add-9 or r,g7,9}}


'''140:180:210:252:315''' is a septimal ''dominant ninth chord''. 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. Its otonal inverse, [[4:5:6:7:9]], can also be seen as a fundamental chord, and subsets can be taken out of it as well. The 1/(9:7:6:5:4) chord can be modified to get its otonal inverse by inflecting both the third and seventh down by [[36/35]], so the third becomes [[5/4]] and the seventh [[7/4]].  
'''140:180:210:252:315''' is a septimal ''dominant ninth chord''. 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. Its otonal inverse, [[4:5:6:7:9]], can also be seen as a fundamental chord, and subsets can be taken out of it as well. The 1/(9:7:6:5:4) chord can be modified to get its otonal inverse by inflecting both the third and seventh down by [[36/35]], so the third becomes [[5/4]] and the seventh [[7/4]].  

Revision as of 23:57, 10 March 2026

Chord information
Harmonics 140:180:210:252:315
Subharmonics 1/(9:7:6:5:4)
Intervals from root 1/19/73/29/59/4
Cents from root 435¢702¢1018¢1404¢
Step intervals 9/7, 7/6, 6/5, 5/4
Step cents 435¢, 267¢, 316¢, 386¢
Color names sub-9 or s9
ru gu-7 add-9 or r,g7,9
Prime limit 7
Genus 3257 (315)
Intervallic odd limit 9
Otonal odd limit 315
Utonal odd limit 9
Consistent edos (d ≥ 1.5) 31edo, 41edo*, 46edo, 53edo, …

140:180:210:252:315 is a septimal dominant ninth chord. 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. Its otonal inverse, 4:5:6:7:9, can also be seen as a fundamental chord, and subsets can be taken out of it as well. The 1/(9:7:6:5:4) chord can be modified to get its otonal inverse by inflecting both the third and seventh down by 36/35, so the third becomes 5/4 and the seventh 7/4.

See also