Symphony No. 3 (Nørgård)
The Danish composer Per Nørgård's Symphony No. 3 was written between 1972 and 1975 and marks the first union of the hierarchical methods he had developed to date, the so-called infinity series. The work is in two movements and lasts about fifty minutes.
Nørgård originally received a commission from the Danish Broadcasting Corporation for a dramatic work. Having finished the opera Gilgamesh in 1970, however, as well as feeling in need for a major orchestral work to which he could apply his new techniques, Nørgård produced the symphony instead. In an unusual turn, the Danish Broadcasting Corporation put its orchestra at Nørgård's disposal during the writing of the symphony, allowing the composer to hear the complex interplay of his new hierarchical music before the work had reached its final form.
The Symphony No. 3 was first performed on 2 September 1976 by the Danish Radio Symphony Orchestra and Choir conducted by Herbert Blomstedt.
First Movement
The first movement is concerned with the individual introduction and subsequent union of the three infinity series.
The harmonic infinity series is presented first. The work begins with a profound intonation on C2. The note D, its 9th partial, becomes the center of the entire register, which a descending spectrum of overtones seek. However, it becomes increasingly evident that the descending overtones seek three different fundamentals, namely D, B, and G. Yet they all belong to the overtone spectrum of the note G, which dramatically appears on brass.
The music becomes a trill on A and G sharp, a two-tone infinity series. It is played in its fastest form as sixteenth notes, and orchestrated in slower wavelengths.
The music becomes a diatonic melodic infinity series. Linked to the harmonic infinity series, each wavelength is centered on a different partial. The melody is ultimately played not only at different wavelengths, each a different key, but also at different pulses according to the principles of the rhythmic infinity series, which is based on the golden section. Though generally offset by their varying pulse, the wavelengths meet at various portions of the symphony, which serve a climaxes.
The movement ends with rising overtones of C, suggesting a movement which could continue forever were it not limited by the range of the orchestra.
Second Movement
In the second movement, the infinity series rarely appears overtly, but governs a wide variety of material, which is nonetheless linked through the series and organically grows from preceding passages.
While the choir initially sings pure vowels, the first texts subsequently used in the movement are two Marian hymns, Ave Maris Stella and Ave Maria. When searching for an ending, Nørgård chose to include the work Singe die Gärten, a setting of Rainer Maria Rilke's poem from the Sonnets to Orpheus.