The late 70s were probably the golden age of musical "set theory" (better described as "musical combinatorics").  Twelve-tone theory had evolved to great maturity by then, still few yet found the associated music in any way retardataire.  But computers were slow then, difficult to program, and confined to large institutions.  Thus the answers to many simple, musically meaningful questions remained unattainable.  Now (with Moore's Law flattening) should be the golden age!

All-interval rows have been around for more than a century.   Morris and Starr could enumerate them all in 1974 --- starting on pitch class 0, there exist 3856.  

This piece works with a special, and essentially unique pair of such, namely
[0 11 19 25 28 38 39 44 46 53 57 66 ]
[0  4  7 15 22 32 33 35 41 50 61 66 ].
Traditionally, twelve-tone rows order pitch classes in *time*, and that leaves register as either a free and expressive dimension or else a parameter that the composer may control by other means.   In this piece the rows order the register of the tones, thereby determining two twelve note chords (hence my choice above not to reduce mod 12).  

Any chord built up from an all-interval row will span exactly 5 1/2 octaves; and these two all interval rows, taken together, their union divides those 5 1/2 octaves more evenly than will any other pair (save their inversions, of course).  

The result is, paradoxically, maximal harmonic contrast between two full aggregate chords.   With the rows controlling register,  the two chords get broken melodically in myriads of ways.  Structurally they push against each other, blurring any hard distinction between the linear and vertical, or, if you will, the melodic and the harmonic.

(Of course bad puns in the title are a doff of the hat to Milton Babbitt.)

A Tier of Two Series (piano and marimba)

The land beyond the wall

think!

9Feb23

My naviarhaiku475 submission;
https://www.naviarrecords.com/2023/02/08/naviarhaiku475-rock-bottom/
:D

river stones [naviarhaiku475]

2023-02-15

Before The Trip

The Cold and Perfect Fury (The Return)

This track was created for the Naviar Haiku group.
485
https://www.naviarrecords.com/2023/04/19/naviarhaiku485-the-rain-is-over/

2023-04-20

The Rain Is Over  (Naviarhaiku 485 )

Morning Meditations April 28

Morning Meditation April 28

Sonorizzazione del filmino privato "Biciclette alla barca" di Franco Petrucci 1970,8 mm.
Proiettato all'interno del festival Archivio Aperto di HomeMovies.
Bologna, 2022

https://vimeo.com/user32756463

midi keyboard + nature recording

SENSE

Original Version :
https://soundcloud.com/h-ctor-navarro-agull-1/intersecciones

Clara Invisible - Intersecciones (Senglar Version)

naviarhaiku493 – Desolate street at dawn

Street at Dawn/ Last Night's Turmoil (naviarhaiku493)

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

Please don't spam this account!

A Tier of Two Series (piano and marimba)

David Victor Feldman