70:84:105:120

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Revision as of 05:52, 13 November 2025 by Overthink (talk | contribs) (moved link to 4:5:6:7 earlier)
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Chord information
Harmonics 70:84:105:120
Subharmonics 1/(12:10:8:7)
Intervals from root 1/16/53/212/7
Cents from root 316¢702¢933¢
Step intervals 6/5, 5/4, 8/7
Step cents 316¢, 386¢, 231¢
Color names gu ru-6 or g,r6
sub-6 or s6
Prime limit 7
Genus 357 (105)
Intervallic odd limit 7
Otonal odd limit 105
Utonal odd limit 7
Consistent edos (d ≥ 2) 31edo*, 41edo*, 68edo*, 72edo*

70:84:105:120, the subharmonic sixth chord[1], is a tetrad in 7-limit harmony. It is the inverse of 4:5:6:7, the harmonic seventh chord. It can be considered the minor version of 4:5:6:7, and serves as the fundamental utonal consonance of the 7-odd-limit. On C, it can be notated as Cm(S6), where m is minor and S is supermajor.

The 4:5:6:7 chord may be modified to obtain this chord by flattening the 5/4 by 25/24 and the 7/4 by 49/48. The intervals 25/24 and 49/48 thus serve as chromas, and they are equated when 50/49 is tempered out, such as in pajara.

Todo: add sound example

References

See also