Though there are so many American bands and songwriters whose work merits adaptation to the large ensemble, few preside over an inventory as vast and daring as the catalogue maintained by Phish.

And with more than 300 original songs and counting — many of them elaborate, with sections of varying speed — it’s likely that even the most discriminatory classically trained musician can be tantalized by some of the compositions this group has invented since it formed in Vermont more than 40 years ago.

Trey Anastasio, the quartet’s prolific lead guitarist and vocalist, is credited with writing about half the band’s songs, but he’s compiled his own collection of tunes as well, and through his ongoing endeavors both with Phish and as a solo artist, he continues to raise his profile as one of today’s most talented and visionary guitarists and songwriters.