Viennese trichord
In music theory, a Viennese trichord (also Viennese fourth chord and tritone-fourth chord[2]), 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.
| Component intervals from root | |
|---|---|
| tritone | |
| minor second | |
| root | |
| Tuning | |
| 8:12:17[1] | |
| Forte no. / | |
| 3-5 / | |
| Interval vector | |
| <1,0,0,0,1,1> |
According to Henry Martin, "[c]omposers such as Webern ... are partial to 016 trichords, given their 'more dissonant' inclusion of ics 1 and 6."[3]
In jazz and popular music, the chord usually has a dominant function, being the third, seventh, and added sixth/thirteenth of a dominant chord with elided root[4] (and fifth, see jazz chord).
Sources
- Paddison, Max and Deliège, Irène (2010). Contemporary Music: Theoretical and Philosophical Perspectives, p.62. ISBN 9781409404163.
- DeLone, et al (1975). Aspects of 20th Century Music, p.348. ISBN 0-13-049346-5.
- Martin, Henry (Winter, 2000). "Seven Steps to Heaven: A Species Approach to Twentieth-Century Analysis and Composition", p.149, Perspectives of New Music, Vol. 38, No. 1, pp. 129-168.
- Forte, Allen (2000). "Harmonic Relations: American Popular Harmonies (1925-1950) and Their European Kin", pp. 5-36, Traditions, Institutions, and American Popular Music (Contemporary Music Review, Vol. 19, Part 1), p. 7. Routledge. Covach, John and Everett, Walter; eds. ISBN 90-5755-120-9.
External links
- Jay Tomlin. "All About Set Theory", Java Set Theory Machine.
- "More on Set Theory", Flexistentialism.
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