210:252:315:360:560

Revision as of 08:21, 11 March 2026 by FloraC (talk | contribs) (This is the subharmonic sixth added-eleventh chord cuz it extends the subharmonic sixth chord. "Minor sixth chord" is confusing.)

1/(24:20:16:14:9), a subharmonic sixth added-eleventh chord, is a pentad in 7-limit harmony. It extends the subharmonic sixth chord, 1/(12:10:8:7). 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.

Chord information
Harmonics 210:252:315:360:560
Subharmonics 1/(24:20:16:14:9)
Intervals from root 1/16/53/212/78/3
Cents from root 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 3257 (315)
Intervallic odd limit 9
Otonal odd limit 315
Utonal odd limit 9
Consistent edos (d ≥ 1.5) 31edo, 41edo*, 46edo, 53edo, …

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