In 1998, she competed against other musicians to win an opportunity to open the Lilith Fair in Minneapolis and sell her debut solo album Jump at the merchandise stall.

Being just eighteen years-of-age, and graduating public arts high school that year; Dyer called the experience with the Lilith Fair a whirlwind for which she wasn't prepared.

Around this time, Sanchez (bass) with Ian Savage (guitars) and Rami Gabay (drums) were working on improvisational music together, and Dyer would make suggestions to the group, eventually being absorbed into it, thereby forming the post-punk noise band Hominid.

They decided to remain a duo for the beneficial economics and creative control and freedom, and for the convenience of performing locally they worked to keep their equipment compact, being able to pack it all in a sedan.

I come up with parts I wouldn't normally think of so in that way it's dictating the music a lot.Additionally the duo custom-built and utilise effects pedals to manipulate the sound of their instruments, but reject the use of prerecorded and live looping, preferring to take full responsibility for the temporal activation of their gear.

Interviewing the duo in 2009, Ken Partridge for The Deli called it "a confounding collection of shifty, unpredictable, unclassifiable indie-rock songs",[5] and Jeff Goodsmith for Elitish said they had combined "sonic landscapes, outstanding vocals, and a 'wait, this was only done by two people?'

When Goodsmith asked how they would describe their music, Dyer answered with this "poetic attempt":[2] it's the exuberant heartbeat of a newly retired schoolhouse janitor (no offense) riding the back of a strong and determined racehorse as it gracefully hurdles through scenes, such as a serene rose-petaled puddle, or a group of surprised topless sun-beat-beach-goers, or a pitchfork and flame-bearing mob blood-hungry for the rabbit who stole all their carrots and cabbage the day before some big holiday.

[7] In their review for Pitchfork, Joshua Love commented that "a measurable chunk of [its] middle [blends] together into something ... a little wearying", but "when [they] focus their energy ... the results are positively arresting".

...using sturdy old devices that don't get used enough in pop: melodic lines in contrary motion; additive meter, which breaks up a long pattern of beats into smaller groups; stacked rhythms; stressed upbeats.In December, Lars Gotrich included Riposte in "NPR Music's 50 Favorite Albums Of 2010", writing that "the duo's huge-sounding prog-punk anthems were written with an effusive sense of joy ... [Riposte] will stomp you with glee".

Gotrich then wrote of Riposte that there is "unbridled creativity at play, as the speakers are joyfully pummeled with unexpected delight — exactly the way they are at this Tiny Desk Concert".

Released in May 2023, Buke & Gase is a film documenting the duo's concert in 2020 "at the height of the Covid-19 pandemic, when tours were cancelled", directed by Steven Pierce, produced by Framework Productions, and performed and recorded in the Basilica Hudson, New York, 2020.