28:36:42:49

28:36:42:49 is a septimal dominant seventh chord. This chord is similar to the harmonic seventh chord 4:5:6:7, except the major third is inflected up by 36/35 from 5/4 to 9/7. This makes it stand out as a dissonance from the rest of the chord. This is in contrast to the 5-limit 20:25:30:36 dominant seventh chord, which has the seventh inflected up by 36/35 from 7/4 to 9/5 compared to 4:5:6:7.

Chord information

Harmonics	28:36:42:49
Subharmonics	1/(63:49:42:36)
Intervals from root	1/1–9/7–3/2–7/4
Cents from root	0¢–435¢–702¢–969¢
Step intervals	9/7, 7/6, 7/6
Step cents	435¢, 267¢, 267¢
Color name	rz7 or ru-zo7
Prime limit	7
Genus	32⋅72 (441)
Intervallic odd limit	49
Otonal odd limit	49
Utonal odd limit	63
Consistent edos (d ≥ 2)	5edo*, 22edo*, 27edo*, 31edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

This chord occurs on the V of the diatonic scale in superpyth temperament. Note that the 49/36 tritone represents 15/11 in undecimal superpyth, which reduces it to a 15-odd-limit swetismic essentially tempered chord.

On the dominant, this chord is 3/2–27/14–9/4–21/8 above the tonic, which is octave-equivalent to 27/28–9/8–21/16–3/2. This chord resolves to 4:5:6 on the tonic by inflecting the 27/28 up by 28/27, and the 21/16 down by 21/20. 28/27 is often considered a better interval for voice leading than 16/15 due to its size of 62.96 cents, which is much closer to the optimum of around 70 cents than 16/15, which is 111.73 cents.

See also

• 14:18:21 - a subchord of 28:36:42:49
• 4:6:7 - another subchord