Here is a short piece of music generated using the Golden String - a binary sequence that starts out as 101011011010... and continues on forever (as these things tend to).

You can find a much better explanation of the Golden String, and its many properties on this page, part of Ron Knott's stupendously encyclopedic Fibonacci web site.

To generate the piece I mapped the binary sequence to musical notes in two ways. Firstly, a simple mapping of 1s and 0s to low pitches to provide a background rhythm. The second mapping is a bit more interesting. The sequence was progressively read as seven-digit chunks (ie. chunk 1: positions 1-7 / chunk 2: positions 2-8 etc.). It turns out that only eight unique chunks of length seven can be found in the Golden String. I sorted these, treating them as binary numbers, and mapped them to notes in the A major scale (not for any deep mathematical or compositional reasons, I just like A major).

0101101 => A

0110101 => B

0110110 => C#

1010110 => D

1011010 => E

1011011 => F#

1101011 => G#

1101101 => A (next octave)

Using JFugue, I set two instruments to play these mapped notes in the piece, one starting slightly behind the other.

Daniel Cummerow, a web-pioneer of algorithmic music, has also based a piece on the Golden String, using quite a different approach for the mapping. You can listen to it here.

- 1
- 10
- 101
- 10110
- 10110101
- 1011010110110101

You can find a much better explanation of the Golden String, and its many properties on this page, part of Ron Knott's stupendously encyclopedic Fibonacci web site.

To generate the piece I mapped the binary sequence to musical notes in two ways. Firstly, a simple mapping of 1s and 0s to low pitches to provide a background rhythm. The second mapping is a bit more interesting. The sequence was progressively read as seven-digit chunks (ie. chunk 1: positions 1-7 / chunk 2: positions 2-8 etc.). It turns out that only eight unique chunks of length seven can be found in the Golden String. I sorted these, treating them as binary numbers, and mapped them to notes in the A major scale (not for any deep mathematical or compositional reasons, I just like A major).

0101101 => A

0110101 => B

0110110 => C#

1010110 => D

1011010 => E

1011011 => F#

1101011 => G#

1101101 => A (next octave)

Using JFugue, I set two instruments to play these mapped notes in the piece, one starting slightly behind the other.

Daniel Cummerow, a web-pioneer of algorithmic music, has also based a piece on the Golden String, using quite a different approach for the mapping. You can listen to it here.