Endless movement for unaccompanied violin - fractal tune made with Tune Smithy





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Published on Jan 8, 2012

You hear the tuning first. Then you hear a seed phrase. Everything else you hear is generated from that tuning and the seed phrase, and incorporates all the notes of a strict sloth canon in many parts Go to http://tunesmithy.com for Tune Smithy, the program used to make this.

Quora post about this video: http://qr.ae/1urcM

For facebook discussions of this video: http://www.facebook.com/groups/222992... and http://www.facebook.com/groups/239947...

Page of these videos here: http://www.bouncemetronome.com/video-...

The tuning is based on the septimal minor 7/6 and the pure justly tuned major 5/4.

Tuning: is 1/1 7/6 3/2 2/1 5/4 4/3, continuing with repeat at the 4/3 as
4/3 14/9 2/1 8/3 5/3
16/9 56/27 8/3 32/9 20/9 64/27 ...

You can also continue it the other way below the 1/1 as
... 27/32 135/256 9/16 21/32 27/32 9/8 45/64 3/4 7/8 9/8 3/2 15/16 1/1 ...

There the previous copy of the tuning starts at the 3/4, a 4/3 below the 1/1.
So the 3/2 there is a 2/1 above the 3/4 that starts the previous repeat.
Like this:
3/4 = previous repeat of the tuning's 1/1. = scale degree -5
7/8 = previous repeat's 7/6. = scale degree -4
9/8 = previous 3/2 (i.e. 3/2 above the 3/4). = scale degree -3
3/2 = previous 2/1. = scale degree -2
15/16 = previous 5/4. = scale degree -1
1/1 = previous 4/3. = scale degree 0


So that explains why the seed 0,1, 2, -2, 6, 0
when based on the 1/1 turns into the intervals 1/1 7/6 3/2 3/2 14/9 1/1
It works like this:
1/1 7/6 3/2 3/2 (from previous repeat at -2) 14/9 (scale degree 6,so the 7/6 above the 4/3) 1/1

Instrument: solo violin

Long high definition audio clip (mp3 with sample rate 320) here: (warning: file size is 324 MB) http://bouncemetronome.com/fractal-tu...

It's the same tune as the endless movement for unaccompanied viola http://www.youtube.com/watch?v=5WjZB5... with slight changes in timing and dynamics


This tune is generated from the short seed phrase you hear at the start of the clip by a construction similar to the Koch snowflake visual fractal, entirely algorithmically.

No composition methods or techniques are used except to create the seed. The underlying structure is a sloth canon with structure at ever larger and larger time scales and goes on endlessly, though you can't expect to hear it as a sloth canon.

The process of fractal "composition" consists of creating the seed, then you set how the notes are tuned, vary some parameters, and choose the instruments to play each part. The rest is all automatic. The reason it works may be because many natural sounds like running water have fractal qualities, and also composers and improvisers naturally use fractal type approacheswithout realising it.

This video gives an idea of what the tune sounds like played on high quality instruments

More about the process of fractal "composition" here:


It's a display only, non editable score. The notes are positioned by time, which is why the measures keep changing in size because of the fractal rhythms, with many of the fractal rhythms you couldn't notate them at all exactly with conventional musical rhythm notations.


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