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)

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

Please don't spam this account!

https://progettosonoro.bandcamp.com/follow_me
progettosonoro è Marco Mascia, accumulatore seriale (e parallelo) di strumenti musicali e oggetti sonori e (non)musicista. Dal 2007 fa parte (con Manuel Lain) del duo Le Pecorecaramellate che ha all'attivo un Cd (Una botte e via! edito da Sesto Esercizio Records) e ha partecipato (Cagliari, 10 Ottobre 2015, Nuovo Panificio) al Multiversal EXP-OFF. 
Il 1 Maggio 2016, sempre al al Nuovo Panificio, ha partecipato, con la Roaring Pianolas Orchestra, alla perfomance live "pianoltre"

"I'm a mellow artist, ageing 69. I love and release eclectic music, from post-classical to drone. My fave instrument is the Mellotron."

Così, sinteticamente, di solito mi presento.

In genere compongo musica partendo dal suono delle tastiere, ma il mio vero strumento è il registratore.

O i software di registrazione.

"I was made for loving and making recorded music."

Confido da sempre nel potere evocativo e orfico della musica, nella sua capacità di riconsegnarci a mondi più veri e più giusti, più belli di quelli in cui di solito viviamo.

"Ich bin ein kosmische Kurier"

I'm using these tools: Mellotron micro, Waldorf Blofeld synthesizer, Behringer Crave, IK Multimedia Uno synth, Roland Juno synth, Volca keys, Casio digital piano, micropiano Korg, Manetron (iPad app), iTampura (iPad app), Eko 11 (...) string acoustic guitar, electric violin, Orla analogic expander, tenor, treble and descant recorders, soprano and tenor tin whistle, Akai, Roland, Alesis and Arturia controllers, upright piano, Squier 3/4 electric guitar, melodica, Bubble Harp (iPad app), Schoenhut toy harp, soprano ukulele, Eko acoustic guitar, Peavey Composer acoustic guitar, Kurzweill micropiano, Boss and JamMan loop stations , Behringher multi-fx, Olympus portable digital recorder, Phonic, Behringer and Yamaha mixers, Audacity, Paulstretch, various players and plug-ins .. (that's all, folks, I think ..)

latest releases:

https://whitelabrecs.bandcamp.com/album/the-book-of-dreams
https://chitrarecords.bandcamp.com/album/lieder-ohne-worte 
https://ambientologist.bandcamp.com/album/suggestiva
https://ambientologist.bandcamp.com/album/venusia
https://hibernate.bandcamp.com/album/as-riddled-as-the-tide

for further works please go to my bandcamp page
https://marcolucchi.bandcamp.com/

and to 
http://webbedhandrecords.com/
http://www.laverna.net/home/
https://silentflow.org/

iTunes and Spotify as well ..
feed and share ..
https://open.spotify.com/artist/1TRilVaDaQw0ksGqU5tuCh?si=zXD-0xFWS-2yrUs542SH9A

SoundCloud è la piattaforma musicale che preferisco perché è soprattutto il regno degli ‘amateurs’, di quelli che fanno musica per sé e per gli amici .. come quando da ragazzi si condividevano con gli altri le invenzioni e le creazioni .. io sostanzialmente sono rimasto lì e così .. non sempre, ovviamente, ma spesso ci trovo delle cose che valgono altrettanto - se non di più - rispetto a quelle più affermate e conosciute

I'll follow you back when SC lifts the follower limit (!)
Loving listening to everyone's music on here :-))))))))))

A Tier of Two Series (piano and marimba)

David Victor Feldman