Overtone Music Network

a common space & database for harmonic overtones

Three Tonal Systems

Cyan Blue: "12 TET" (twelve-tone equal temperament), which has been dominating our music culture for the last 100 years or so.
The even division (like hours of a clock) of the octave circle looks extremely pleasant to the eye but what is visually pleasant may not be harmonic to the ears - just think of the paper A format which is very harmonic to the eyes but in music the proportion 1: squareroot 2 is extremely dissonant.
The axises are found at 0-100-200-300-... etc. cent. The Point is that the reference of purity for the ears (and music theorists) and overtone freaks naturally are the intervals from the harmonic series (systemized in 'just tuning' -green) and the thirds and sixths of 12-TET are far from pure. We have actually made a musical convention which has sacrificed the experience of just thirds and sixths.

Magenta Red: Pythagorean tuning, generated by perfect fifth intervals (6 up and 5 down from the fundamantal). It is symmetrical (apart from the tritone) around the vertical line. The principle of using the perfect fifth (proportion 2:3) to generate a tonal system is the deepest background for the division of the octave circle into 12 half tones. Alas 12 fifths in succession is only approximately equivalent of 7 octaves:
1,5^12 ~ 2^7.
The derivation is known as the Pythagorean Comma.

Yellow: Just tuning. Intervals between elements from the harmonic series: 2 (octave), 3 (perf. fifth) and 5 (maj. just third) combined. Like Pythagorean Tuning it is not very suited for polyphonic music as it contains many different sizes of intervals.

This content has been seen 48 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

Harmonic Introductions posted an event

Overtone Singing Concert: An Evening of Music and Meditation at St. John's Episcopal Church

January 16, 2015 from 7:30pm to 9pm
Harmonic Introductions is holding our first public concert! It will feature original compositions,…See More
yesterday
Indro Roy-Chowdhury is now a member of OMN ...

Welcome Indro Roy-Chowdhury!
Monday
Willi Grimm posted an event
Thumbnail

NATURTON - Hörst Du den Berg? Das letzte Konzert at UPtown Gurtenpark

December 21, 2014 from 5pm to 6:30pm
Die Reihe "Hörst Du den Berg" wird nach drei Jahren in eine künstlerische Pause eintreten und so…See More
Dec 8
Tanja Elena Quirici is now a member of OMN ...

Welcome Tanja Elena Quirici!
Dec 7
Johanni Curtet posted an event
Thumbnail

Höömij Workshop in Toulouse! at Les Ateliers d'Eau Vive

February 14, 2015 at 2pm to February 15, 2015 at 5pm
Stage d'initiation au höömij (chant diphonique mongol)Avec Johanni CurtetSaviez-vous que tout le…See More
Dec 6
A video by Barbara Lübben was featured

dat du min leevsten büst - Lauschrausch 2014

priv. Mitschnitt aus dem Obertonfestival Lauschrausch 2014 in der Yenidze, Dresden Anna Maria Hefele (Harfe) Barbara Lübben (voc) Stefan Weyh (Harfe) Jan Heinke (voc
Dec 5
Danibal posted a video
Dec 3
Elliot Witheart is now a member of OMN ...

Welcome Elliot Witheart!
Dec 2

© 2014   sponsored by Yoga Vidya, Germany

 |  Support | Privacy  |  Terms of Service