4:5:7

Chord information

Harmonics	4:5:7
Subharmonics	1/(35:28:20)
Intervals from root	1/1–5/4–7/4
Cents from root	0¢–386¢–969¢
Step intervals	5/4, 7/5
Step cents	386¢, 583¢
Color names	yo zo-7 no-5 or y,z7no5 har-7 no-5 or h7no5
Prime limit	7
Genus	5⋅7 (35)
Intervallic odd limit	7
Otonal odd limit	7
Utonal odd limit	35
Consistent edos (d ≥ 2)	6edo*, 10edo*, 16edo*, 21edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

4:5:7, the fifthless harmonic seventh chord, is a 7-limit chord found as a subset of the harmonic seventh chord, 4:5:6:7. It is used as a tuning target for the Italian augmented sixth chord in septimal meantone.

The open voicing 4:7:10 may be used as a fundamental consonance of the 2.5.7 subgroup. It inverts to 14:20:35 with the middle voice contrasting by 49/40.

Rotations around the octave

4:5:7 "Root position"

5:7:8 "1st inversion"

7:8:10 "2nd inversion"

Related chords

Chords related to this triad (5-limit except where noted):

• 4:6:7 – no-fives version
• 4:5:6:7 – full tetrad
• 28:35:40 – its inverse