"Ode-to-Napoleon" hexachord
| Component intervals from minor second | |
|---|---|
| root | |
| Forte no. / | |
| 6-20 / | |
| Interval vector | |
| <3,0,3,6,3,0> |
In
pitch-classes 014589 (C, C♯, E, F, G♯, A) it is given Forte number 6–20 in Allen Forte's taxonomic system.[6] The primary form of the tone row used in the Ode allows the triads of G minor, E♭ minor, and B minor to easily appear.[7][failed verification
]
The "Ode-to-Napoleon" hexachord is the six-member set-class with the highest number of
all-combinatorial hexachord "source sets".[2]
The hexachord has been used by composers including Bruno Maderna and Luigi Nono, such as in Nono's Variazioni canoniche sulla serie dell'op. 41 di Arnold Schönberg (1950),[8] Webern's Concerto, Op. 24, Schoenberg's Suite, Op. 29 (1926), Babbitt's Composition for Twelve Instruments (1948) and Composition for Four Instruments (1948) third and fourth movements.[2][dubious ] The hexachord has also been used by Alexander Scriabin and Béla Bartók but is not featured in the music of Igor Stravinsky.[2]
It is used combinatorially in Schoenberg's Suite:[10]
P3: E♭ G F♯ B♭ D B // C A A♭ E F D♭ I8: G♯ E F D♭ A C // B D E♭ G F♯ B♭
Note that its complement is also 6-20.
References
- ^ Lewin (1959), p. 300.
- ^ ISBN 0-520-20116-7.
- ISBN 0-300-04537-9.
- ISBN 0-13-189890-6.
- ^ Music Theory Society of New York State (2000). Theory and Practice, vol. 25, p. 89.
- ISBN 978-1-58046-270-9.
- ^ Palmer, John. "Ode to Napoleon Buonaparte, for narrator, piano & strings, Op. 41", AllMusic.com.
- ^ a b Neidhöfer, Christoph (2007). "Bruno Maderna's Serial Arrays", Society for Music Theory. vol. 13, no. 1, March 2007.
- ^ Friedmann (1990), p. 104.
- ^ Van den Toorn (1996), p. 132.
Sources
- Lewin, David (1959). "Re: Intervallic Relations Between Two Collections of Notes". Journal of Music Theory 3, no. 2 (November): 298–301.
Further reading
- Baker, James M. (1986). The Music of Alexander Scriabin, p. 214. New Haven: Yale University Press. ISBN 0-300-03337-0. Cited in Van den Toorn (1996), pp. 128–129.
- ISBN 0-582-28117-2.
- Wason, Robert W. (1988). "Tonality and Atonality in Frederic Rzewski's Variations on "The People United Will Never Be Defeated!", Perspectives of New Music 26, no. 1. Cited in Van den Toorn (1996), pp. 128–129.
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