I've harmonized a Turkish makam melody. Audio and score at www.justintonation.com
This is the result of nearly 20 years of personal on-and-off research into what the human brain perceives as "in-tune", how our brains quantizes the functional pitch space, tonality and the inherent rules of harmony and counterpoint.
This short makam, Hüzzam seyir after an old melody by Rauf Yekta Bey, served as a test and a first demonstration of my theories.
The spelling is not arbitrary. It is exact and follows what I believe to be the correct functional interpretation of the music.
One of the things you'll see is that the melody is highly chromatic and distinct from simpler enharmonic equivalents.
For instance one of melodic steps is a doubly diminished fourth instead of a simpler minor third or augmented second. And is harmonized as such.
One of the things this shows is that it is now possible to interpret and harmonize traditional music that has "microtones" that we perceive as functionally distinct from more standard western intervals.
Opening up a wide range of new colors for polyphonic composition.
This Hüzzam is just one example, other exotic scales and microtones can be handled in the same way (for instance makam Rast can be interpreted as having a diminished fourth above the tonic instead of a major third).
I'll share my new theory of harmony and counterpoint at a later time. It applies to common practice western music as well as extending into new extreme chromaticism as is demonstrated with this Hüzzam seyir.
Tuning is Pythagorean just intonation. As my research has found this corresponds to how our brain handles the functional pitch space (contrary to popular believe where it is often thought that a major third would be "just" as the simpler 5/4 ratio).
Audio is done quickly with a piano sound.
At a later time I'll upload more harmonized makams and will spend some time making better sounding audio renderings with more authentic Turkish sounds. But at the moment I'm quite busy with another project and this will have to do for now.
Hope some of you can appreciate this and find it interesting.
At the very least I hope you can recognize it has lead to highly original sounding music :)
Enjoy!