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Persian Glances by Jesse Maw
Earlier this year, I recorded a piano piece for composer Jesse Maw called Persian Glances.  I adapted this from a midi recording and played it on a retuned grand piano.  The tuning was directed as follows:

"Persian Glances" JI tuning-

1:1 F @ 344 hz

567/512
9/8
5103/4096
81/64
21/16
729/512
189/128
3/2
1701/1024
27/16
7/4
15309/8192
243/128
63/32
2/1

The final tuning of the piece had a bit more inflection from the detuned piano, and the reference pitch ended up shifting slightly, but the accuracy of the shape of the tuning was quite right.  

The big numbers in the tuning are a bit confusing to look at, but are more identifiable once the shape of the tuning is realized.  That is: the tuning is generated by 3/2s and 7/4s, or, octave reduced 3rd and 7th harmonics.  And, though I am talking about the tuning here, this tuning map is really more of a map for myself to play and tune the piece, and a compositional device used to create the piece, than a requirement of the listener to understand to enjoy the music. 

But, anyways, let me break down (factor) a couple of these intervals so that you can have the tool, cause that's the purpose of my sharing of this information anyways.

Lets start easy, with 21/16.  So 21 is 7x3 and 16 is 2x2x2x2.  Every number has a unique factorization.  We can regroup this as 7/4, 3/2 and 1/2, which means a 7/4 stacked with a 3/2 and then brought down an octave.

63/32 is one more 3/2 on top of 21/16.  We can break than down as 63=7x3x3 and 32 = 2x2x2x2x2.  So on and on.  

This analysis of the structure thus far gives a good idea of what the tuning of the piece is intended to do.

I hope you enjoy the piece, I really enjoyed learning and playing it.  This version is coupled with an improvisation to begin!


Listen to more of Jesse's music at:

http://www.jessemaw.com/