This is a justly intoned arrangement of J. S. Bach's Prelude and Fugue in C Sharp Major, the third Prelude and Fugue of the 48 Preludes and Fugues, a body of work by Bach which demonstrated that with tempered tunings every major and minor key was usable. It was made using a custom sequencer in Excel+Octave which allowed exact frequencies to be specified.

'Comma Travel' means that local sections of the Prelude and Fugue were specified using simple justly intoned ratios, but the whole piece was stitched together by (from time-to-time) specifying commas, that is, microtonal intervals which make the different sections exactly match up. By altering the baseline frequency dynamically in this way, the whole piece of music suffers from 'comma travel' which is the accumulation of commas in the sharp or flat direction, making the music shift up and down in frequency. However, since there's not much in the way of 'comma travel' music already on the market, I thought this would sound interesting to some people!

A more sophisticated way of making the piece of music stay at the same base frequency would be to normalise the commas by dividing out the comma by a local moving average; this has also been done in two separate tracks uploaded at the same time.

Accumulation of commas, normalised or unnormalised, will be explained further in my second JI maths/music paper - pending! The theme of it is how to take any sheet music and retune it into JI using comma alterations, mainly of 5th and 7th harmonics. However, as always, in this track I've snuk in some 11th and 13th harmonics which you might be able to locate by ear or by examining the code blocks in Github (upload pending as of 9th Nov 2015).

Enjoy!

Dave

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Bach number of this track: BWV848 or BWV 848

See also:
- https://arxiv.org/a/ryan_d_1 (arXiv) for a list of my academic paper pre-prints, including my writing on music theory and Just Intonation
- http://orcid.org/0000-0002-4785-9766 (ORC ID) for my academic profile
- https://www.linkedin.com/in/davidryan59 for my LinkedIn profile

Bach BWV848 Prelude And Fugue in C Sharp Major - Chip Solo Synth, Justly Intoned, Comma Travel

most of the music is straight from tiktok.  the other music is from a friend

If you'd like to study counterpoint, please follow the link below (Lessons).

I'm into Just Intonation (JI), which is using harmonics (or undertones) to generate music. Over time, my profile will fill up with wonderful and melodious New Harmony, fresh from the infinite vaults of the original and best source of harmony, Just Intonation.

I’ve written some papers on the music theory of Just Intonation. You can check them out via the arXiv link below. Topics include the mathematical analysis of harmony (in Just Intonation), and a notation system to cover all of Just Intonation.

Enjoy listening!

a little bit of everything  including  Christmas  music 

composer, performer & producer

personal diary // social network

FAQ
Yes, it's my improvisation :)
Most improvisations are original. some of them borrowed a theme of mine; few of them a theme of others.
If not original, usually written so.
All improvisations are performed myself if not otherwise specified.
Improvisations are improvised so as to keep a diary of my daily life.

@ijskra

Bach BWV848 Prelude And Fugue in C Sharp Major - Chip Solo Synth, Justly Intoned, Comma Travel

David Ryan