Another hypercanon piece.  

This time, from the mathematical perspective, beats get filled when their beat number equals the sum of a square, a positive cube and 6th power.  

Because the powers vary, the music keeps the counts on different instruments. 

The numbers to square get heard on the piano (with 1 the top key and then descending chromatically).

The numbers to cube get heard on pizzicato strings tuned in 19-TET, using an ascending scale that divides three octaves into 19 equal intervals which sound as nearly 10:9 rations.

The numbers to raise to the 6th power, never more than 4, map to a small gamut of tuned drums.

The complexities of the sets of sums of just two kinds of powers asserts itself as the irregular staggered entrances of the canon on the instrument associated with other power.  

If this is too much information for you, the bottom line is an intense listen which, white it has a hypersimple underlying concept, also feature a rather complex surface regardless, and because of the density of the beat numbers with a "yes" answer, intense but also unfamiliar syncopation. 

Big thank you to Peter Thoegersen, who literally wrote the book on polymicrotonal (and polytempic) music.  He's a genius and you should check out his music.  While his music and also his working methods are quite different than mine, he has opened me up to one of his great discoveries, namely that the listening mind can instinctively decouple the layers of a complex music according to the tuning systems girding each layer (at a given moment).  The effect is like passing to an experience in a higher dimension, akin to the discovery of perspective in visual art.   I'm not sure Peter would even count this as "poly" since two of the layers are 12TET and my treatment of 19TET avoids actual microintervals.  But I'd never have come to this way of projecting my ideas without his influence.

Higher Powers, for Piano, Percussion and Pizzicato Strings

polymicrotonal weirdness with max msp, 2018

PolymicroEtude7

This, my second mixed Trio in poly, features 17-19-21-23-25-28-31 seven note scale in the cello, that loops 6X against two polyrhythmic contrapuntal 24 unequal Pythagorean scale of al Farabi in the piano, and Ben Johnston's 6th Prime row of 25 unequal per octave, in the Clarinet. The interplay is finely thought out and responsorial. The poly trio is a new form I am experimenting with for more transparency for the contrapuntal interplay between the instruments in polymicrotonality. 2025

Mixed Trio in Polytempic Polymicrotonality #2

fucked up mess

Twist

This piece is an outgrowth of the previous sextet that is now a NONET, with English Horn, C Trumpet, violin, viola, cello, 2 marimbas, guitar and piano. This is fully polytempic, but is only standard tuned, no microtones. (unless of course 12tet in-itself is already microtuned as it deviates from just overtones) . This piece is sprightly and alive, quite the opposite of its composer, so that remains an enigma. 

Just Shut the Fuck UP, it's a Beautiful Day Outside and I have a Boner, so don't ruin it.

Like a wild Klezmer orchestra, everyone is going dixieland Mad with pdlytempo and polymicrotonality, for piano, guitar, violin, viola, cello, 2 marimbas, English horn and Trumpet. It's a mad drunken bar fight but, fun, a fun mad drinking bar fight. No one lives! Composed today and all week. This is related to the Boner happy day piece. You're welcome. 

Polymicrotonal Nonet I

This music is about how we are all fucked and Trump will destroy the Earth, as I've been fucking telling you idiots for the last ten fucking goddamned years and you just sat on your ass doing nothing. Happy Death. 2025

Nonet in Polytempic 12tet, updated version, for English Horn, Trumpet, Violin, Viola, Cello, two Marimbae, Piano and Guitar

Music for English horn, trumpet, violin, viola, cello, two vibraphones, guitar and piano. Tunings will be discussed later. Working on score, still. This piece is constantly evolving. 2025

Polymicrotonal Nonet, without Polytempo, version 2, for Violin, Viola, Cello, English Horn, Trumpet, 2 Vibraphones, Guitar and Just Piano

Totally synthesized version of nonet for acoustic instruments, all with samplers. Relax and enjoy, or I'll kick your fucking ass. 

Nonet synthesized, Version III

2 Trumpets, Horn in F, Trombone, Tuba in 99-98-97-96-95 ratio tempi relationships with "large" quarter and eighth tone modulations. Quasi tripartite form in a Schoenbergian sense in that there is no tonic-dominant axis for formal constraints, yet the microtonal modulations act in place to delineate form. Simple retrograde is employed to a general singular "diatonic" line multiplied and displaced by the pdlytempo. This is not phase music. This is still polytempo but at micro rhythmic gradations. Each tempo is marked by a .5 beat difference between the five parts. There is no convergence, only separation, like our country. Frankly, like the world today.

Polytempic Polymicrotonal Brass Quintet

Composer, mathematician, visual artist. 
Seeks collaboration with performers and choreographers.

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Higher Powers, for Piano, Percussion and Pizzicato Strings

David Victor Feldman