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 2688 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

Richard Wicksteed commented on Bernhard Mikuskovics's video
Thursday
Brad Wells is now in contact with Jens Mügge
Thursday
Annie Boyer commented on Bernhard Mikuskovics's video
Thursday
Willi Grimm commented on Bernhard Mikuskovics's video
Thursday
Jens Mügge commented on Bernhard Mikuskovics's video
Thursday
Brad Wells is now a member of OMN ...

Welcome Brad Wells!
Thursday
Bernhard Mikuskovics posted a video
Tuesday
Andreas Eder posted a video

Fused Voices, in Confused Times: Tönerkreis München Online

Im Corona-Lock-Down sind Choraufführungen praktisch zum Erliegen gekommen. Dem Tönerkreis München erging es da nicht anders. Dankenswerter Weise hat Matthias...
Feb 15
João Senna is now a member of OMN ...

Welcome João Senna!
Feb 8
Bernhard Mikuskovics updated an event
Thumbnail

Mikuskovics: Seminar OBERTONGESANG (Kärnten, AT) at Bildungshaus Schloß Krastowitz

March 20, 2021 at 10am to March 21, 2021 at 1pm
Feb 6
Bernhard Mikuskovics updated an event
Thumbnail

Seminar: Obertongesang (Unterfranken) at Benediktushof

August 27, 2021 at 7:30pm to August 29, 2021 at 12am
Feb 6
A photo by Sherden Overtone Singing was featured
Feb 4

© 2007 - 2021   Impressum - Privacy Policy - Sponsored by Yoga Vidya, Germany -   Powered by

 |  Support | Privacy  |  Terms of Service