Viennese trichord

In music theory, a Viennese trichord (also Sus#4 chord, Viennese fourth chord, and tritone-fourth chord), named for the Second Viennese School, is a pitch set with prime form (0,1,6). Its Forte number is 3-5. The sets C–D–G and C–F–G are both examples of Viennese trichords, though they may be voiced in many ways.

Viennese trichord
Component intervals from root
tritone
minor second
root
Tuning
8:12:17
Forte no. / Complement
3-5 / 9-5
Interval vector
<1,0,0,0,1,1>
Viennese trichord
Viennese trichord as dominant
Quartal Viennese trichord.

According to Henry Martin, "[c]omposers such as Webern ... are partial to 016 trichords, given their 'more dissonant' inclusion of ics 1 and 6."

In jazz and popular music, the chord formed by the inversion of the set usually has a dominant function, being the third, seventh, and added fourth/eleventh of a dominant chord with elided root (and fifth, see jazz chord). For example, the Viennese trichord of C-F#-G could be considered a D11/C: D (elided) - F# - A (elided) - C - G.

3-5
PrimeInverse
0,1,60,6,e
1,2,71,7,0
2,3,82,8,1
3,4,93,9,2
4,5,t4,t,3
5,6,e5,e,4
6,7,06,0,5
7,8,17,1,6
8,9,28,2,7
9,t,39,3,8
t,e,4t,4,9
e,0,5e,5,t
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