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 2391 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

Patrick Housby replied to the discussion 'Igil, Doshpuluur, and Morin Khuur Construction'
"I have begun friends! The decision of igil construction has been made. That particular instrument I…"
7 hours ago
Bernhard Mielchen is now in contact with Bernhard Mikuskovics
11 hours ago
Bernhard Mikuskovics updated their profile
14 hours ago
Bernhard Mikuskovics posted albums
16 hours ago
Bernhard Mikuskovics posted photos
16 hours ago
Willi Grimm posted a video

NATURTON im Kulturpunkt Flawil - Song in G

Beide Musiker sind wahre Meister ihrer Instrumente: Willi Grimm entdeckte für sich 1968 das Didjeridu während eines dreijährigen Australienaufenthaltes. Géra...
Thursday
A blog post by Johanni Curtet was featured

Release of the record An Anthology of Mongolian Khöömii

Release of the record An Anthology of Mongolian KhöömiiA Buda Musique Label Double CD, 47 p.…See More
Tuesday
Patrick Housby commented on Robert McLaughlin's video
Monday

© 2017   Impressum - Sponsored by Yoga Vidya, Germany   Powered by

 |  Support | Privacy  |  Terms of Service