Anton Webern's Concerto for Nine Instruments, Op. 24 (German, Konzert für neun Instrumente, op. 24, 1934) is a twelve-tone concerto for nine instruments: flute, oboe, clarinet, horn, trumpet, trombone, violin, viola, and piano; containing three movements: I. Etwas lebhaft, II. Sehr langsam, and III. Sehr rasch; and composed with a derived row, "often cited [such as by Milton Babbitt (1972)] as a paragon of symmetrical construction"[1]:
In the words of Luigi Dallapiccola: "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, "its [the Concertos] 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]
"The 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