Overtone Music Network

a common space & database for harmonic overtones


A musical animation of the first 16 elements of the harmonic series.
NB! Most computer speaker systems cannot render the deep tones, so use headphones, but be careful as the volume setting is quite high!

Here the tonal points are presented within the frames of an octave spiral structure which illustrates a fundamental principle in music:
The octave is a repetition of an already experienced quality on a new level.
The essence of the graphic spiral is likewise:

1-2-4-8 are octaves of the fundamental;
3-6-12 are octaves of the perfect fifth;
5-10 are octaves of the just major third etc.

The number figures are an attempt to develope a natural and intuitive graphic representation of the inherent structure of number based on factorization, here from 1 to 16.
It is not a 'number system' like our base 10/ decimal system (based on the primes 2 and 5) or a sexigesimal system (primes 2, 3 and 5), but an attempt to come close to the essence of the language inherent in the concept of numbers, a language of primes and compounds - arithmethic (and musical) atoms and molecules.

Proceeding through the spiral no 1-16 the neighbouring intervals grow successively smaller:
1:2=octave;
2:3=perfect fifth;
3:4=perfect fourth;
4:5=just major third;
5:6=just minor third;
6:7=septimal third;
7:8=septimal second;
8:9=major wholetone;
9:10=minor wholetone,....;
15:16=just halftone.

The sounds are sine wave tones. Please notice, that this is not common tempered tuning values but frequencies from the harmonic series with a fundamental of C=64 Hz (no. 1).
The other frequencies are multipla of this tone (nx64 Hz).
The tonal axises represent divisions of a tonal circle of 360 degrees = 1200 musical cents.
Example: The 5-10 axis is situated at 115.8 degrees from the vertical axis corresponding to 386 cents (whereas the equaltempered major third measures 400 cents, corresponding to 120 degrees). More to be found (in danish) on http://www.detspringendepunkt.net

This content has been seen 219 times

Comment

You need to be a member of OMN to add comments. Sign up, it's free!

Join Overtone Music Network

Sponsored by:

Latest Activity

Barbara Lübben posted a blog post
Nov 9
Rick Risi is now a member of OMN ...

Welcome Rick Risi!
Nov 3
Andreas Eder posted a video

Kein schöner Land, Hymne auf den goldenen Herbst

Das bekannte Volkslied als Hymne auf den gerade stattfindenden goldenen Herbst. Eingespielt als OMOG-Version (Orgel mit Obertongesang) im Oktober 2020. Die B...
Oct 31
Stuart Hinds posted a status
Oct 8
Jens Ickert posted an event
Thumbnail

Konzert - WIR4 a cappella mit Hang zu Obertönen at Heftersaal Grassau

October 18, 2020 from 6pm to 7:15pm
Oct 6
Jens Mügge commented on Skye Løfvander's video
Sep 30
James is now a member of OMN ...

Welcome James!
Sep 29
Skye Løfvander posted a video
Sep 27

© 2007 - 2020   Impressum - Privacy Policy - Sponsored by Yoga Vidya, Germany -   Powered by

 |  Support | Privacy  |  Terms of Service