Influential vocalist and pianist Mose Allison joins Piano Jazz host Marian McPartland for a set of originals and a few favorite tunes by Duke Ellington, Hoagy Carmichael and more.

Fast hands, cymbals that shimmer, drop-kicks on the bass drum; these two drummers appreciate each other. Albert “Tootie” Heath performs in a trio with Ethan Iverson (The Bad Plus) and Ben Street (Danilo Perez Trio), followed by Wilson’s Arts & Crafts quartet, in Surround Sound on JazzSet.

Corea’s “Spain” has an epic quality to it, as it draws from Joaquin Rodrigo’s Concierto de Aranjuez and joyous flamenco hoedowns to weave an extended narrative. At the opening night of the SFJAZZ Center, he guest solos in a new arrangement of the piece with a house band made up of all-stars.

Classically trained Lebanese trumpeter Ibrahim Maalouf has played with everyone from Sting to Salif Keita. While most trumpets have three valves, his has four, allowing him to play the quarter-tones that characterize Middle Eastern music and the “blue notes” of jazz.

Musicians like Lil Hardin Armstrong, Carla Bley and Mary Lou Williams didn’t just make it in the historically male-dominated field of jazz: They were the driving forces behind their own bands. Hear five pioneering examples of women who composed for and directed their own groups.

The Queen of the Organ solos on “Skylark” and joins host Marian McPartland on “In a Mellow Tone.”

What is a mistake? By going through examples with his improvisational jazz quartet, Stefon Harris gets to a profound truth: many actions are perceived as mistakes only because we don’t react to them appropriately.

The Monterey Jazz Festival is celebrating 55 years of swinging with a coastal California vibe. An all-star sextet is crossing the country, advancing the festival’s mission: to create and support jazz education and performance programs. JazzSet has highlights from the Kennedy Center.

The pianist and composer/arranger was a prime mover in the international musical exchange that was Havana in the middle of the 20th Century. Late in his career, he enjoyed a new wave of fame as his accomplishments came to light anew. The father of Chucho Valdés, he was 94.

The jazz trumpeter is 66 now, but he’s not slowing down any: His current band has released five excellent albums since 2007 alone. His new piano-less project is further testament to his prolific composing. Harrell presents new music live at the venerable New York jazz institution.