Overtone Music Network

a common space & database for harmonic overtones


Music incarnates through numbers as frequency and wawelength (= time & space) proportions of the harmonic series.

Until european renaissance most tonal system where established through combination of the first tree primes 2, 3 and 5 which express themselves as the music of the harmonic series as octave (proportion 1:2, one-to-two), perfect fifth (2:3) and just major third (4:5).

Initially this creation happens within the frame of the octave 30:60 (2x3x5 : 2x2x3x5).

The interval names of the tonal systems with frequency ratios of the form 2nx3nx5n : 2nx3nx5n

may be found on this link! 

By the way the product of the following tree primes 7, 11 and 13 is 1,001!!


At the illustration the neighbouring elements placed along the axises are octaves, proportion 1:2. For example 1:2:4:.. (octaves of the fundamental/ primary tone), 3:6:12:... (octaves of perfect fifth) and 5:10:20:... (octaves of just major third).


Lesser diesis is the difference between three successive just major thirds (5/4)3 (= 125/64 = 1.953125) and the octave (2:1).


The syntonic comma is the difference between just major third, 80 (=24 x 5) and the pythagorean (generated by perfect fifths) major third, 34.


The values of the pythagorean comma and greater diesis, 73:74 and 27:28 respectively, are approximations, because their constituent values are situated further out in the branches of the spiral. The pythagorean comma is the difference between 12 successive perfect fifths, (3/2)12 : 27 (= 129.746338) and 7 octaves, 27 (= 128).

The greater diesis is the difference between four successive just minor thirds  (6/5)4 (=1,296 : 625 = 2.0736) and the octave, 2:1.


... Or is it really the other way round: Numbers incarnating through music?

This content has been seen 1498 times

Tags: intervall, music, numbers, overtone


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

Join Overtone Music Network

Sponsored by:

Latest Activity

Leonoor replied to the discussion 'i need suggestions'
"Thanks for your reply. I understand you didn't solve the problem, that is a pity. I only can…"
Mario Marino replied to the discussion 'i need suggestions'
"Thanks Leonor, but i think it necessary something more specific."
Matthias Privler posted events
Jens Mügge commented on Jens Mügge's video

Overtone Singing - Lullaby

"Thank you, Leonoor!"
Steve Sklar posted a status
"I rarely use OMN lately, feel free to friend me on FB: https://www.facebook.com/steve.sklar.3 Best wishes, Steve"
Steve Sklar is now in contact with Harmonic Introductions
Steve Sklar left a comment for 'Joel Wallenius'
"Hi Joel, Message received re: kargyraa. I no longer use OMN, feel free to friend me on FB:…"
Leonoor replied to the discussion 'i need suggestions'
"Did you find something that helps you? Maybe you can see our website www.contactmuziek.nl. Since…"

© 2015   sponsored by Yoga Vidya, Germany

 |  Support | Privacy  |  Terms of Service