Anton Webern's Concerto for Nine Instruments, Op. 24 (German: Konzert für neun Instrumente), written in 1934, is a twelve-tone concerto for nine instruments: flute, oboe, clarinet, horn, trumpet, trombone, violin, viola, and piano. It consists of three movements:
The concerto is based on a derived row, "often cited [such as by Milton Babbitt (1972)[full citation needed]] as a paragon of symmetrical construction".[1] The tone row is shown below.[2]
In the words of Luigi Dallapiccola, the concerto is "a work of incredible conciseness... and of unique concentration... . Although I did not understand the work completely, I had the feeling of finding an aesthetic and stylistic unity as great as I could wish for. [Prague, September 5, 1935]".[3]
The second movement "limits quite severely the values of many domains," for example featuring "only two durational values (quarter and half note[s])," and, partly as a result, "features great uniformity in texture and gesture".[4]
The tone row may be interpreted as: 019, 2te, 367, 458.[5]
The opening displays "[the Concerto's] distinctive trichordal structuring," four of which "comprise an aggregate," or partition.[6] "The six combinations of [the partition's] trichords generate three pairs of complementary hexachords".[7] "Webern takes full advantage of this property [its fourfold degree of symmetry] in the Concerto," that under four appropriate transformations (T0T6I5IB), the tone row maintains its unordered trichords (j=019,091,etc., k=2te, l=367, and m=458). The hexachord featured is sometimes called the 'Ode-to-Napoleon' hexachord (014589).[8]
According to Brian Alegant, "[t]he Latin square... clearly shows the built in redundancy of [the] partition," four, and, "needless to say, Webern takes full advantage of this property in the Concerto":[5]
j | k | l | m |
l | m | j | k |
m | l | k | j |
k | j | m | l |
For example, I5 = 548, 376, 2et, 109.