Root of a chord (in Jazz voicings)
Posted: Sun Sep 20, 2015 10:19 pm
Dear list,
Did somebody already try his or her hand at finding possible roots of chords?
I am looking for a way to do some just intonation within more complex jazz harmonies searching for a solution that takes the 'musical' root of the chord into account.
When using cage.virtfund the virtual fundamental will sometimes fall together with the root but often there will be another solution popping up.
I will probably get to some sort of solution using bach.istruct but I was curious if somebody else might have felt the same need and would like to spar on a useful algorithm.
A simple example: The chord E-F-A-B wil render 12 13 16 18 following the overtone structure, which would mean that the functional root is the 13th overtone in the series and A the root. The normal functionality of the chord in jazz harmony would probably be given by F-A-B-E (Fmaj#11) giving 8 10 11 15 so a more logical solution for the just intoned inversion would be 15 16 20 22. (In Jazz voicings the fifth is mostly omitted)**
Let me know also if you would propose a different approach.
Thanks in advance, Hans Leeuw.
**This is different from what a method proposed by Hindemith to find the root of the chord would yield (searching from fifth to fourth to major third etcetera). In that case the A would be considered the root of the chord...
Did somebody already try his or her hand at finding possible roots of chords?
I am looking for a way to do some just intonation within more complex jazz harmonies searching for a solution that takes the 'musical' root of the chord into account.
When using cage.virtfund the virtual fundamental will sometimes fall together with the root but often there will be another solution popping up.
I will probably get to some sort of solution using bach.istruct but I was curious if somebody else might have felt the same need and would like to spar on a useful algorithm.
A simple example: The chord E-F-A-B wil render 12 13 16 18 following the overtone structure, which would mean that the functional root is the 13th overtone in the series and A the root. The normal functionality of the chord in jazz harmony would probably be given by F-A-B-E (Fmaj#11) giving 8 10 11 15 so a more logical solution for the just intoned inversion would be 15 16 20 22. (In Jazz voicings the fifth is mostly omitted)**
Let me know also if you would propose a different approach.
Thanks in advance, Hans Leeuw.
**This is different from what a method proposed by Hindemith to find the root of the chord would yield (searching from fifth to fourth to major third etcetera). In that case the A would be considered the root of the chord...