Playing in the oak-paneled elegance of Bar Harbor’s Jesup Memorial Library Sunday afternoon, eight of Maine’s finest jazz musicians put on a tribute to Miles Davis that simmered with controlled intensity.

From the sweet ache of “My Funny Valentine” to the irresistible swells of “All Blues,” the ensemble explored blues in every shade, swinging a packed house at the annual library benefit.

The quintet A Train was joined by guest trumpeter Don Stratton, horn man John Cooper and pianist and singer Patti Wicks — joined not only in playing for the same audience, but in playing together with apparent appreciation for each other and shared understanding of the music.

A Train, Stratton and Cooper combined on renditions of Davis’ early tunes and the jazz standards Davis used to cover. Wicks came on midway through the second set to play with bassist John Gallagher and drummer Mike Bennett for a couple of sparkling tunes.

The finest moment of the afternoon, however, was the finale, “All Blues.”

After a chorus that showed how eight instruments can fire up a room without overwhelming each other, Wicks launched into a driving, rhythmic solo.

Stratton, whose soft solos earlier in the afternoon made the most of the intimate venue, stepped it up a notch with a crackling solo that ranged through his palette of tones and attacks.

Cooper’s saxophone solo toyed with familiar melodies, drawing out their blue notes to dramatic effect, then saxophonist Steve Orlofsky brought the audience back to the core of “All Blues.” A Train leader Jim Frick danced through still another energetic solo on his vibraphone, which had sparked the music throughout the afternoon.

When they came together again, they finished the song and the concert with a rousing flourish that showed just how narrow the distinction can be between cool and hot.

Calling A Train and its guests fine jazz musicians from Maine can be misleading — while they do live in Maine, they would be fine wherever they chose to play. It was the Bar Harbor audience’s good fortune that they chose to warm up the library on a snowy Sunday afternoon.