Overtone Music Network

a common space & database for harmonic overtones

Octave spiral with the first 16 elements of the harmonic series

A musical animation of the first 16 elements of the harmonic series. The first 12 are the most commonly used by overtone singers, only very skilled singers can clearly accentuate up to no 16 or more. Here the tonal points are presented in 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 spiral figure 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.

Proceeding through the spiral no. 1-16 the neighbouring intervals grow succesively 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 sound should have been an overtone singing demonstration, but the piano is more precise. 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.

More to be found (in danish) on http://www.detspringendepunkt.net

This content has been seen 104 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

Witch Music updated their profile
16 hours ago
Andrea de Luca posted an event
Thumbnail

CANTO DEGLI ARMONICI - OVERTONE SINGING at Private space LU'

May 21, 2016 at 2:30pm to May 22, 2016 at 6:30pm
Overtone singing techniques - Basics - Open to allSee More
19 hours ago
Andrea de Luca posted a status
"Overtone Seminar Milano, 21-22 May"
20 hours ago
Bernhard Mikuskovics posted photos
Wednesday
Patrick Housby joined a group
Thumbnail

Overtone Singing Techniques

There are many ways to produce vocal overtones. It depends by the structure of our vocal tract -…See More
Wednesday
Julia Renöckl posted a blog post

Frühlings-News

Liebe alle! Der Mai naht mit großen Schritten und da gibt’s schon wieder einen Obertonkurs in Wien,…See More
Apr 26
valentina is now in contact with Jens Mügge
Apr 23
Nestor Kornblum left a comment for 'Dean Frenkel'
"Hi Dean I don't know if you teach, but I'm putting you in contact with an Australian from…"
Apr 22

© 2016   sponsored by Yoga Vidya, Germany

 |  Support | Privacy  |  Terms of Service