Fix a fundamental frequency F, and also three small prime numbers, p,q and r.  

Now imagine associating (as Euler did) a tone with frequency F * p^x * q^y * r^z to each point (x,y,z) in 3-dimensional space .  On a special plane through (0,0,0), all the points gets associated to the fundamental frequency F.  

Imagine, furthermore, a large circle in that plane centered around (0,0,0).  Imagine flying around that circle and hearing, as you pass nearby points with integer coordinates, the pitches associated to those points (the pitches fall within the range of human hearing because you confine your flight path to that special plane).

Now, no need to imagine anymore...you can just hear here how it sounds (for primes 3,5 and 7).  I'll post realizations with other primes soon.

This process, simple as it sounds (?!?), naturally engages the categories of melody, harmony and timbre, and with shifts in emphasis that simply reflect the geometry of the circle as it passes through the Euler grid.


My Travels in Euler Space

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

Please don't spam this account!

Hobby music by a mathematician. Older tracks available on Bandcamp.

I make experimental music through notated composition, performed song, and installation. Just intonation, information aesthetics, duration, cyclicality, and counterpoint are all things I often think about when making music.

I was born in 1993 and was raised in Columbus, Ohio. I stayed in my home state to receive a Bachelor of Music in composition from the Oberlin Conservatory of Music. I received an MFA at the California Institute of the Arts, studying under Michael Pisaro and Wolfgang von Schweinitz. My music has been released by Edition Wandelwesier and presented by HyperCube, Dog Star Orchestra, and the wulf. I live in Los Angeles.

VENUS PELLAGATTI XTRAVAGANZA
ROBERT BROOKS
SAM NORDQUIST
AARON BUSHNELL
ELIJAH MCCLAIN
ANTEO ZAMBONI 
SUMMER TAYLOR
AHMED EREKAT
DOMINIQUE REM'MIE FELLS
SARAH GROSSMAN
JAMES SCURLOCK
DAVID MCATEE
EYAD AL-HALAQ
HECTOR GARCIA MENDOZA
GEORGE FLOYD
BREONNA TAYLOR
VICENTE RAMON GUERRERO
MARCI WISE
JOSEPH ROSENBAUM
ANTHONY HUBER
RIAH MILTON
TONY MCDADE 
EUGUI ROY
AHMAUD ARBERY
ASHLYNN LISBY
OLUWATOYIN SALAU 
VICTORIA SIMS
JOHANNA METZGER
ZEZICO GUAJAJARA
ISABEL CABANILLAS
DAVID GLEN WARD
TONY MCDADE
TIFFANY M. MOFIELD
KENNY RICHIE MARTY "MYLEZ" MITCHELL
NÉHÉMIE JOSEPH
NICOLA SACCO
BARTOLOMEO VANZETTI
ANNA LOPIZZO
ATATIANA KOQUICE JEFFERSON
CARY BALL JR.
ROXANA HERNANDEZ
JAKELIN CAAL MAQUIN
FELIPE ALONZO-GOMEZ
DREASJON "SEAN" REED
MCHALE ROSE
JANA LANGE
WILLIE MCCOY
MARIEE JUAREZ
OSMAR EPIFANIO GONZALEZ-GADBA
JEANCARLO JIMENEZ-JOSEPH
HUY CHI TRAN
KALIEF BROWDER
MI'CHANCE DUNLAP-GITTENS
SERGIO ALONSO LOPEZ
KAMYAR SAMIMI
JOSHUA BROWN
GEMMEL MOORE
TIMOTHY DEAN
SAHAR KHODAYARI
DE'VON BAILEY
TONY TIMPA
MARIA DEL PILAR HURTADO
EMILSEN MANYOMA
MOISÉS MOSQUERA MORENO
TEMISTOCLES MACHADO 
ELEAZAR TEQUÍA VITUCAY
HECTOR WILLIAM MINA
ELIJAH AL-AMIN
NINA POP
JENNIFER LAUDE
LAYLEEN POLANCO
PAMELA TURNER
CHYNAL LINDSEY
JOYCE FIENBERG
RICHARD GOTTFRIED
ROSE MALLINGER 
JERRY RABINOWITZ 
CECIL ROSENTHAL 
DAVID ROSENTHAL 
BERNICE SIMON 
SYLVAN SIMON 
DANIEL STEIN 
MOHAMMED ABU KHUDAIR
MOHAMMAD RAMIZ BAKR
AHED ATEF BAKR
ZAKARIYA AHED BAKR
ISMAIL MAHMOUD BAKR
MELVIN WAX 
TIMOTHY CAUGHMAN
LARNELL BRUCE JR
OSCAR JOSE FIGUERA
EMANTIC “EJ” BRADFORD, JR.
TENIYA JONES 
THURMAN BLEVINS
ALEX NIETO
WALTER LUEBCKE
ARMANDO FRANK
RACHEL ALIENE CORRIE
ANTWON ROSE, JR.
LINUS PHILLIP
DIANTE BUTCHIE YARBER
SAHEED VASSEL
DANA MARTIN
ASHANTI CARMON
CLAIRE LEGATO
RACHEL CORRIE
MUHLAYSIA BOOKER
KENNETH CHAMBERLAIN SR.
ADAMA TRAORE
MICHELLE "TAMIKA" WASHINGTON
JAQUARRIUS HOLLAND
DANNY RAY THOMAS
STEPHON CLARK
MARIELLE FRANCO
TOVEET RADCLIFFE
HEATHER HEYER
FRED HAMPTON
LAVENA LYNN JOHNSON
PHILANDO CASTILE
TAMIR RICE
DANROY HENRY
TRAYVON MARTIN
ERIC GARNER
MICHAEL BROWN
WALTER SCOTT
VIOLA LIUZZO
CLAUDIA PATRICIA GOMEZ GONZALEZ
RICKY JOHN BEST
TALIESIN MYRDDIN NAMKAI MECHE
FREDDIE GRAY 
ALTON STERLING
JORDAN EDWARDS
OSCAR RAMIREZ, JR.
LIGE DANIELS
JESSE WASHINGTON
JOSE ANTONIO ELENA RODRIGUEZ
SAM DUBOSE
HENRY SMITH
JOHN HARTFIELD
ELTON MITCHELL
T.A. ALLEN
THOMAS DEVERT
JOE SPINNER JOHNSON
LUTHER HOLBERT
JESSE THORNTON
WILLIAM LITTLE
JEFF BROWN
KEITH BOWEN
GENERAL LEE
THOMAS MILES
GEORGE DORSEY
DOROTHY DORSEY
TARIKA WILSON
DEAUNTA FARROW
SAM HOSE
PATRICK HARMON
SEAN BELL 
ANTHONY LAMAR SMITH
HENRY GLOVER
RONALD MADISON
TIMOTHY STANSBURY
ALBERTA SPRUILL
DEBORAH DANNER
OUSMANE ZONGO
ORLANDO BARLOW
PRINCE JONES
RONALD BEASLEY
EARL MURRAY
PATRICK DORISMOND
MALCOLM FERGUSON
JONATHAN FERRELL
DONTRE HAMILTON
JOHN CRAWFORD III
EZELL FORD
AIYANA JONES
OSCAR GRANT
DANTE PARKER
TANISHA ANDERSON
TYREE WOODSON
VICTOR WHITE III
YVETTE SMITH
MCKENZIE COCHRAN
JORDAN BAKER
ANDY LOPEZ
MIRIAM CAREY
DEION FLUDD
KIMANI GRAY
REYNALDO QUEVAS
SHANTEL DAVIS
TAMON ROBINSON 
SHEREECE FRANCIS
REKIA BOYD 
TROY DAVIS 
AMADOU DIALLO
RAMARLEY GRAHAM
LAQUAN MCDONALD
KENDRICK JOHNSON
LAVENA JOHNSON
MEDGER EVERS
ANDREW GOODMAN 
MICHAEL SCHWERNER 
JAMES CHANEY 
JOHN EARL REESE 
WILLIE EDWARDS JR 
MACK CHARLES PARKER 
MARSH COOK
JOHN BROWN
HERBERT LEE 
ROMAN DUCKSWORTH JR 
WILLIAM LEWIS MOORE 
ADDIE MAE COLLINS 
DENISE MCNAIR 
CAROLE ROBERTSON 
CYNTHIA WESLEY 
VIRGIL WARE 
HENRY HEZEKIAH DEE 
CHARLES MOORE 
LEMUEL PENN 
JIMMIE LEE JACKSON 
JAMES REEB 
ONEAL MOORE 
WILLIE BREWSTER
JONATHAN DANIELS 
VERNON DAHMER 
BEN CHESTER WHITE 
WHARLEST JACKSON
BENJAMIN BROWN 
SAMUEL HAMMOND JR 
DELANO MIDDLETON 
HENRY EZEKIAL SMITH 
NAT TURNER 
ANDY BURKE 
JOHNSON WHITTAKER 
ROBERT ROBINSON 
FRED ALEXANDER 
ROBERT TRUETT
L.B. REED 
CLINTON BRIGGS 
FRANK LIVINGSTON 
BUD JOHNSON 
LUCIUS MCCARTY 
POWELL GREEN 
EARNEST MCGOWAN 
LEE SNELL 
PRECIOUS GRANT 
HUGH JOHNSON
J.C. FARMER 
EUGENE BELLS 
TIMOTHY HOOD 
JAMES STEPHENSON 
ALONZA BROOKS 
DEJUAN GUILLORY 
ROCRAST MACK JR. 
JUSTIN THOMPSON 
DARRIUS STEWART

My Travels in Euler Space

David Victor Feldman