Shortly after returning to Chicago, Braxton's cousin told him about the
Association for the Advancement of Creative Musicians and he attended a concert. After the performance he met Roscoe Mitchell, who invited him to practise with, and later join, the group. Braxton played over ten instruments on his 1968 debut,
3 Compositions of New Jazz, the influences for which he identified as
Paul Desmond,
Ornette Coleman,
Eric Dolphy,
Jackie McLean,
Karlheinz Stockhausen,
Miles Davis,
James Brown, and the
Chicago Transit Authority(Chicago). The album's trio arrangement included
Leroy Jenkins and
Wadada Leo Smith, with
Muhal Richard Abrams joining on the B-side recordings. In 1969, Braxton recorded the double LP
For Alto. There had been occasional unaccompanied saxophone recordings (notably
Coleman Hawkins' "Picasso"), but
For Alto was the first full-length album for unaccompanied saxophone. The album influenced other artists like
Steve Lacy, Joe McPhee, and Evan Parker, who went on to record their own solo albums. Tracks on
For Alto were dedicated to
Cecil Taylor and
John Cage, among others. Braxton was initially pessimistic about making a living as a working musician and began hustling chess, but in 1970 he joined pianist
Chick Corea's trio with
Dave Holland (double bass) and
Barry Altschul (drums) to form the short-lived avant garde quartet
Circle. After Corea left to form the fusion band
Return to Forever, Holland and Altschul remained with Braxton for much of the 1970s as part of a quartet that variously included
Kenny Wheeler,
George E. Lewis, and
Ray Anderson. The core trio plus saxophonist
Sam Rivers recorded Holland's
Conference of the Birds. In 1970,
Muse released his album
Creative Construction Company, with the group of the same name, consisting of
Richard Davis (bass),
Steve McCall (drums),
Muhal Richard Abrams (piano, cello),
Wadada Leo Smith (trumpet), and
Leroy Jenkins (violin)—the album was released in the late 1970s by the Italian label, Vedette, under the title,
Muhal.
Creative Orchestra Music 1976 was inspired by jazz and marching band traditions. Braxton also recorded duets with George Lewis and
Richard Teitelbaum in the 1970s. Braxton's regular group in the 1980s and early 1990s was a quartet with
Marilyn Crispell (piano),
Mark Dresser (double bass) and
Gerry Hemingway (drums). In 1981, he performed at the
Woodstock Jazz Festival in
Woodstock, New York to celebrate the tenth anniversary of the
Creative Music Studio. In 1994, Braxton was awarded a
MacArthur Fellowship. He released multidisc sets, including
three quadruple-CD sets for
Leo that were recorded on tour in 2003. He worked with several groups, including a quintet crediting bassist
Mario Pavone as co-leader with
Thomas Chapin on saxophone,
Dave Douglas on trumpet, and
Pheeroan akLaff on drums. From 1995 to 2006, he concentrated what he called
Ghost Trance Music, which introduced a pulse to his music and allowed the simultaneous performance of any piece by the performers; many of the earliest
Ghost Trance recordings were released on his Braxton House label. In 2005, he was a guest performer with the
noise group
Wolf Eyes at the FIMAV Festival.
Black Vomit, a recording of the concert, was described by critic François Couture as sympathetic and effective collaboration: "something really clicked between these artists, and it was all in good fun." Braxton is known for a sprawling and extremely diverse discography which has continued to grow in his later career: in introducing his 13-CD box set
Quartet (Standards) 2020, Bandcamp Daily wrote, "Anthony Braxton's discography has been massive for decades. [...] Since 2012, he's released two 4-CD operas; a 12-CD set of duos with various partners; a 7-CD set of the music of
Lennie Tristano and associated artists; an 11-CD set of Charlie Parker's music; a 12-CD set of vocal music; an 8-CD set of duos with Eugene Chadbourne; a 4-CD set of collaborations with
Nels Cline, Greg Saunier, and
Taylor Ho Bynum; and an audio
Blu-ray of 12 compositions for sextet, septet, and nonet, totaling over 11 hours of music. That is probably not all of the music." == Compositional style and systems ==