Day and Night, M.C. Escher

Strange Loop (2007)

Strange Loop is a musical investigation into the self-patterning paradoxes discussed by Douglas Hofstadter in his book Gödel, Escher, Bach: An Eternal Golden Braid, and elsewhere. Hofstadter coined the term "strange loop", and it refers to a type of paradox caused by self-reference.

For example:

The following sentence is false.
The preceding sentence is true.

Hofstadter describes more complete "strange loops" by expanding such paradoxes into hierarchical systems in which one finds oneself back where on started. For example, consider a man "A", who marries a widow who has an adult daughter; A's father then marries this adult daughter, making A his own (step-)grandfather.

The idea is that while it is generally possible to establish the key of a tonal melody without hearing the whole melody, it is not possible to "know", in the same way, an entire 12-note row in serial music without hearing the entire row in full. The context of a 12-note row consists of itself, and therefore the row cannot be presented outside of this context. This contrasts with the tonal system, in which a melody in D major (for example) can be presented independently of the key D major, and the key D major can be presented independently of the melody.

This problem is related to the "incompleteness theorems" of Gödel, which are also discussed in depth by Hofstadter.

Premiere

13th June 2007, St Giles-in-the-Fields, London, by Rarescale

Video

This is a video of a performance by Rarescale (Carla Rees with David Black), taken between rehearsals at the Forge, Camden in May 2014.

Duration

c. 9 minutes

Instrumentation

Alto flute, guitar

Downloads

  • score (parts available on request)

Recording

Strange Loop is available on the following commercial release, performed by Rarescale, together with se il Ciel mi fà sperar:

Stream on Spotify

Remember to FOLLOW Tim Benjamin on Spotify to be notified of all future releases!