Music

What does it feel like to experience music or visual art where events are governed by the golden ratio and Fibonacci numbers? What does the golden section of a piece feel like? What does a golden section pitch ratio sound like? What kind of music could a Fibonacci sequence create when applied to pitch? If your interested in these questions, you've come to the right place.

List of Musical Compositions

WAVs and MP3s

I'm not a big fan of MP3s. I have included them here because I want to leave the choice to the listener, assuming not everybody will want to wait to hear something of higher quality. I highly recommend downloading the WAV files, burning them to CD and listening to them on a hi-fi stereo. I also am willing to send CDs out, provided that the person requesting is willing to pay the postage. For the files that are available in Csound format and those already familiar with this format, I would recommend downloading the Csound files. Csound is available free to the public, and related sites are listed in my links.

Disklavier Performance, Late 1998

Etude for Piano (30.7 MB)
Etude for Piano (MP3) (2.79 MB)

March 1999

Duet for Disklaviers (59.5 MB)
Duet for Disklaviers (MP3) (5.4 MB)

Martin Near and Casey Mongoven, Pianos (tuned one quarter-tone apart), April 4, 2000

Duet for Pianos Fibonacci in 24 Tones (59.7 MB)
Duet for Pianos Fibonacci in 24 Tones (MP3) (5.42 MB)

April 2001

Chaos and Pisano's Rabbit Problem (123 MB)
Chaos and Pisano's Rabbit Problem (MP3) (11.2 MB)

August 2001

Golden String I (44.7 MB) - also available in Csound format
Golden String I (MP3) (8.14 MB)

August 2001

Golden String II (29.7 MB)
Golden String II (MP3) (5.40 MB)

September 2001

Golden String III (85.8 MB)
Golden String III (MP3) (7.79 MB)

September 2001

Golden String IV (61.2 MB) - also available in Csound format
Golden String IV (MP3) (5.56 MB)

November 2001

Golden String V (40.9 MB) - also available in Csound format
Golden String V (MP3) (3.71 MB)

April 2002

Beatty Sequence no. 1a (5.87 MB) - also available in Csound format
Beatty Sequence no. 1a (MP3) (558 K)

May 2002

Beatty Sequence no. 1b (5.87 MB) - also available in Csound format
Beatty Sequence no. 1b (MP3) (558 K)

May 2002

Harmonic Portrayal of two Combinatorial Beatty Sequences with Volume Swells (2.18 MB) - Csound also
Harmonic Portrayal of two Combinatorial Beatty Sequences with Volume Swells (MP3) (204 K)

June 2002

Horizontal Para-Fibonacci Sequence no. 1 (1.47 MB) - also available in Csound format
Horizontal Para-Fibonacci Sequence no. 1 (MP3) (136 K)

Finale Files

Those who have Finale should download these files.

3 Pieces for Violin I
3 Pieces for Violin II
3 Pieces for Violin III

Duet for Pianos Fibonacci in 24 Tones
Duet for Pianos: notes to performer, title page - (Microsoft Word)

Duet for Pianos Inverse Fibonacci in 24 Tones

Study in Fibonacci Pitch Class Sets no. 1 (for piano)
Study in Fibonacci Pitch Class Sets no. 2 (for cello)
Study in Fibonacci Pitch Class Sets no. 3 (for piano)
Study in Fibonacci Pitch Class Sets no. 4 (for violin)
Study in Fibonacci Pitch Class Sets no. 5 (for tenor)
Study in Fibonacci Pitch Class Sets no. 6 (for soprano)
Study in Fibonacci Pitch Class Sets no. 7 (for tenor)

String Trio

Digital Reproductions of Scores

These reproductions are worth taking a look at if you're interested in how a certain piece looks on the page.

Fibonacci Motet (all 3 pages 1.41 MB JPEG)
Fibonacci Motet (pg. 1)
Fibonacci Motet (pg. 2)
Fibonacci Motet (pg. 3)

Study in Inverse Fibonacci (2 pages 1.22 MB JPEG)
Study in Inverse Fibonacci (pg. 1)
Study in Inverse Fibonacci (pg. 2)

I. (for 13 instruments) (6 pages 3.33 MB JPEG)
I. (pg. 1)
I. (pg. 2)
I. (pg. 3)
I. (pg. 4)
I. (pg. 5)
I. (pg. 6)

Study in Fibonacci Pitch Class Sets no. 1 (for piano, 2 players) (672 KB JPEG)

Study in Fibonacci Pitch Class Sets no. 2 (for cello) (467 KB JPEG)

Study in Fibonacci Pitch Class Sets no. 3 (for piano) (2 pages 991 KB JPEG)
Study in Fibonacci Pitch Class Sets no. 3 (pg. 1)
Study in Fibonacci Pitch Class Sets no. 3 (pg. 2)

Study in Fibonacci Pitch Class Sets no. 4 (for violin) - score with analysis (2 pages 553 KB JPEG)
Study in Fibonacci Pitch Class Sets no. 4 (pg. 1)
Study in Fibonacci Pitch Class Sets no. 4 (pg. 2)

Study in Fibonacci Pitch Class Sets no. 5 (for tenor) (1.36 MB JPEG)

Study in Fibonacci Pitch Class Sets no. 6 (for soprano) (662 KB JPEG)

Study in Fibonacci Pitch Class Sets no. 7 (for tenor) (793 KB JPEG)

Study in Fibonacci Pitch Class Sets no. 8 (for countertenor) (2 pages 4.20 MB JPEG)
Study in Fibonacci Pitch Class Sets no. 8 (pg. 1)
Study in Fibonacci Pitch Class Sets no. 8 (pg. 2)

Study in Fibonacci Pitch Class Sets no. 9 (for guitar) (867 KB JPEG)

Study in Fibonacci Pitch Class Sets no. 10 (for bass) (711 KB JPEG)

Study in Fibonacci Pitch Class Sets no. 11 (for electric guitar) (1.62 MB JPEG)


Hocket no. 1 (for violins, violas, cellos and basses) (4 pages 3.0 MB JPEG)
Hocket no. 1 (pg. 1)
Hocket no. 1 (pg. 2)
Hocket no. 1 (pg. 3)
Hocket no. 1 (pg. 4)

Csound Files

Unfortunately, due to glitches in Csound, the files for Golden Strings II and III are not available. These files were reconstructed in several parts.

Golden String I (Orchestra)
Golden String I (Score)

Golden String IV (Orchestra)
Golden String IV (Score)

Golden String V (Orchestra)
Golden String V (Score)

Beatty Sequence no. 1a (Orchestra)
Beatty Sequence no. 1a (Score)

Beatty Sequence no. 1b (Orchestra)
Beatty Sequence no. 1b (Score)

Harmonic Portrayal of two Combinatorial Beatty Sequences with Volume Swells (Orchestra)
Harmonic Portrayal of two Combinatorial Beatty Sequences with Volume Swells (Score)


Horizontal Para-Fibonacci Sequence no. 1 (Orchestra)
Horizontal Para-Fibonacci Sequence no. 1 (Score)


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