Many notable composers have had a fascination with the Fibonacci sequence. This is a series of numbers where the next number is reached through the addition of the previous two. The order of these numbers is 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on. Another important element of this sequence of numbers is the ratio between each consecutive number after the third. This ratio is about 62% and has for many years been known as the golden ratio. This ratio also describes the spiral curling of the shell of a nautilus, a sea-dwelling cephalopod related to, but far more ancient than, the squid and the octopus.
The Uncurling Nautilus is not me expressing my own fascination with the Fibonacci sequence, though I do use the sequence as a compositional tool. The initial concept behind this work was one of gradual accumulation of elements over time and the Fibonacci sequence stuck out as a significant and interesting pattern through which to accumulate elements that wasn’t simply 1, 2, 3, 4, 5 etc. The work is split into three main sections: in the first, the cello plays brief gestures which are played back by the computer as microtonal clusters through a delay. The Fibonacci sequence governs the accumulation of attacks in this section. So first the cello plays one note, then one again, then two, three, five, eight and so on. This creates micro-level call and response periods of growth and decay which, together, create a macro-level accumulation of sound. In the second main section, the cello plays a lyrical, rhythmically free melody and is accompanied by chords played by the computer. The accumulation of texture within the accompaniment is governed by the Fibonacci sequence: first the cello is accompanied by one note, then two, three, five and so on. The third section is a shortened recapitulation of the first. Each of these sections is separated from the next by a cadenza, first improvised by the cello, and then played by the computer based on recorded and highly altered material from the cello’s cadenza.