4:5:6:7
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| Names | harmonic seventh, barbershop seventh |
| Harmonics | 4:5:6:7 |
| Subharmonics | 1/(105:84:70:60) |
| Intervals from root | 1/1 – 5/4 – 3/2 – 7/4 |
| Cents from root | 0¢ 386¢ 702¢ 969¢ |
| Step intervals | 5/4, 6/5, 7/6 |
| Step cents | 386¢, 316¢, 267¢ |
| Prime limit | 7 |
| Genus | 3 ⋅ 5 ⋅ 7 (105) |
| Intervallic odd limit | 7 |
| Otonal odd limit | 7 |
| Utonal odd limit | 105 |
English Wikipedia has an article on:
4:5:6:7, the harmonic seventh chord, is a tetrad in 7-limit harmony. It is often used as a tuning target for the dominant seventh chord in barbershop music (→ Wikipedia: Harmonic seventh chord #Barbershop seventh ), and also for the German sixth chord in septimal meantone.
It is a dyadic chord in the 7-odd limit, with its most complex interval a 7/5 tritone. It is the octave-reduced version of the first four odd harmonics, 1:3:5:7, or the first eight harmonics, 1::8.