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In music theory, a Viennese trichord (also known as 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.

According to Henry Martin, "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.

References

1. Paddison, Max and Deliège, Irène (2010). Contemporary Music: Theoretical and Philosophical Perspectives, p. 62. ISBN 9781409404163.
2. ^ DeLone, Richard, et al (1975). Aspects of 20th Century Music, p. 348. Englewood Cliffs, New Jersey: Prentice-Hall ISBN 0-13-049346-5, 9780130493460.
3. ^ 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.
4. 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.

External links

• Jay Tomlin. "All About Set Theory", Java Set Theory Machine.
• "More on Set Theory", Flexistentialism. Archived 2011-07-23 at the Wayback Machine

v t e Chords
By form	Triad Major Minor Augmented Diminished Suspended Seventh Leading-tone Major Minor Dominant Dominant seventh flat five Diminished Half-diminished Diminished major Minor-major Augmented major Augmented minor Altered seventh Nondominant Harmonic seventh Extended Ninth Eleventh Thirteenth Upper structure Dominant 7♯9 Polychord Tone cluster Added / omitted Sixth Augmented sixth Lydian Seven six Specific Alpha Bridge Complexe sonore Dream Elektra Farben Grandmother Magic Mystic Northern lights Petrushka Psalms So What Tristan Viennese trichord General Mixed interval Secundal Tertian Quartal Synthetic chord Tetrad
By function	Diatonic Tonic Supertonic Mediant Subdominant Dominant Submediant Leading tone / Subtonic Altered Approach Borrowed Chromatic mediant Neapolitan Passing Secondary Secondary dominant Secondary leading-tone Secondary supertonic Other Common Contrast Primary triad Subsidiary Substitute
Techniques	Barre Block Chordioid Chord-scale system Guitar Open Power Slash
Other	Arpeggio Chord names and symbols List of chords Factor

• Chords
• Tritones
• Musical set theory