This track is an example of using the harmonic series itself as a scale. Frequencies are accessed directly by specifying 6 7 8 9 10 multiplied by a set number (e.g. 30) to give direct frequencies such as 180 210 240 270 300 Hz.

It is in four parts of 8 bars each
- Simple harmonics (otonal)
- Complex harmonics
- Inverted simple harmonics (utonal)
- Inverted complex harmonics 

It was created using:
- Excel for sequencing
- Octave for turning CSV sequence file into WAV
- Audacity for mixing the 2 harmony tracks and 3 click tracks.
- SoundCloud for upload.

I hope that you find this track useful! Dave.

PS it is good to be using the 11th, 13th, 23rd, 29th and 31st harmonics again. I am extremely keen that musicians use them and that the public be exposed to these exotic harmonies ;)

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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

Example track with noodling around the otonal (harmonic) and utonal series

Example track with noodling around the otonal and utonal harmonic series

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

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 

Example track with noodling around the otonal and utonal harmonic series

David Ryan