Viennese trichord
| Component intervals from minor second | |
|---|---|
| root | |
| Tuning | |
| 8:12:17[1] | |
| Forte no. / | |
| 3-5 / | |
| Interval vector | |
| <1,0,0,0,1,1> |
Quartal Viennese trichord.[2]
In
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, "[c]omposers such as Webern ... are partial to 016 trichords, given their 'more dissonant' inclusion of ics 1 and 6."[4]
In
). For example, the Viennese trichord of C-F#-G could be considered a D11/C: D (elided) - F# - A (elided) - C - G.| Prime | Inverse |
|---|---|
| 0,1,6 | 0,6,e |
| 1,2,7 | 1,7,0 |
| 2,3,8 | 2,8,1 |
| 3,4,9 | 3,9,2 |
| 4,5,t | 4,t,3 |
| 5,6,e | 5,e,4 |
| 6,7,0 | 6,0,5 |
| 7,8,1 | 7,1,6 |
| 8,9,2 | 8,2,7 |
| 9,t,3 | 9,3,8 |
| t,e,4 | t,4,9 |
| e,0,5 | e,5,t |
References
- ISBN 9781409404163.
- ^ ISBN 0-13-049346-5, 9780130493460.
- ^ ISBN 90-5755-120-9.
- ^ 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