Realization #82 of an open form work. 

Details for those who want to know *what* they're hearing:

Some unheard but endlessly repeating  rhythmicized tone-row girds each realization of this work.

Any tone-row contains 220 trichords.  Graphed in time and interval space, each trichord  (as a triangle now) has a geometrical (signed) area.  While the area of any one triangle depends on the units chosen for both time and interval width, the ratio of two triangle areas is invariant of the units.  So ordering the 220 trichords by increasing area makes intrinsic sense.  
It also produces a distinct musical effect, you will hear it, suggestive of careful and gradual development.  The reasons why the mathematical strategy has this musical effect are complex and perhaps hard to foresee in advance.

Now transposing the row up a semitone but also forcing all the notes back  into the original octave changes the area of 1/4 of the trichord/triangles. This shuffles the trichord order and produces a kind of variation.  This work, as a whole, proceeds through all 12 of these transposition-derived variations.

Well that describe the timpani part anyway.  

The flute doubles the timpani always at some number of octave, and climbs in register during the stretch of each variation, flute register roughly correlated with trichord/triangle area.  Octave transpositions always apply to all the notes in a trichord in order to preserve the shape, which of course is the chief musical determinant here.

The flute part can be performed alone.  It can also be performed with the timpani part on fixed media.  But live performance of the timpani part would require 12 drums, and perhaps two players, and perhaps some technology for coordination (since the rhythms will be hard to count in the usual way).

If there's interest, I'll upload other realizations.  All realizations are both recognizably "the same piece" yet also reflective of the idiosyncrasies of the basic rhythmicized tone-row.

Sharp Shadows Shadowed, for Flute and Timpani

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

Please don't spam this account!

Short records with a strong underlying theme.
I'm trying to explore different music genres, but all my songs contemplate electronics and analog sounds.
They are basically all instrumental tracks.

All songs are released under Creative Common License
https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en
and free downloadable.

Follow me and/or have a listen. 
I will enjoy your comments and suggestions.
Second account: @l13t00f1n3

To all concerned: 
I am announcing publication of my new book, NOW AVAILABLE:
https://www.routledge.com/Maqam-Melodies-Pitches-Patterns-and-Developments-of-Music-in-the-Middle-East-and-other-Microtonal-Writings/Thoegersen/p/book/9789815129052
My book, Polytempic Polymicrotonal Music, is available on Amazon. 
https://www.routledge.com/Polytempic-Polymicrotonal-Music-The-Road-Less-Traveled/Thoegersen/p/book/9789814968294

I have a new album out through Magic&Unique Group Records on Spotify and other digital streaming platforms:
https://open.spotify.com/album/5qWHmcvyAemvVn2TJH1bio?si=OD5TmPptQ-ypr8WOI0EZKA&nd=1

https://whitecentipedenoise.com/products/peter-thoegersen-facebook-cantos-cdr-flea
My CD via Flea label has been out since April, 2021, featuring the wonderful Lore Lixenberg singing over my microtonal piano accompaniment
Hope you enjoy it!

https://www.newworldrecords.org/collections/vendors?q=Peter%20Thoegersen

From the liner notes on my CD now available on AMAZON and New World Records:
"The author of these notes has spent his life explaining radical music, and the music on this disc may be the most radical I've ever written about. Peter Thoegersen (b. 1967) is not yet a name known to the music world; not for any lack of connection to other famous musicians, but because he came to composition late, and because his artistic aims are so broad and complex that they have taken years to evolve. His aesthetic is well defined, and he is upfront about having a name for it: "Polytempic Polymicrotonal Music." That means he has musical layers simultaneously moving in different tempos, plus, even more radically, that he has different microtonal scales playing at the same time. Few composers have aimed at such fervent and heterogeneous multidimensionality. And yet, while Thoegersen's music can seem overwhelming at first, running through it is a level of charm and simplicity that belies the initial impression.

In total, these three pieces emphasize a particular side of Thoegersen's output. The image his music creates of ornately mathematical structures filled with intuitively friendly melodies maps on to the personality of the man himself: outspoken and acerbically ruthless in his musical opinions, Thoegersen is also marked by a jolly sense of humor and an inexhaustible love of cats and other animals that make him ultimately less imposing and more personable than he might seem at first. The same can be said for his music. And by going further than anyone else has gone in terms of this particularly American concept of fusing the polytempic with the polymicrotonal - extending and combining the conceptual worlds of Ives, Cowell, Nancarrow, Partch, Carter, even Frank Zappa and many others - he has created a special place for himself within American music."                                                             

-Kyle Gann (from the liner notes)

Composer, guitarist, momentarily writing orchestral pieces the "Human Rights' Oratorio" and the "Symphony for the Waters". And rock-CD "True Emotions".

Sharp Shadows Shadowed, for Flute and Timpani

David Victor Feldman