The word “freebop” was concocted to denote bands like New Horizons that play music that crosses the far borders of hard bop and modal jazz into free jazz territory with exhilarating swing and heady solo excitement. Ernest Khabeer Dawkins, who leads New Horizons, composes the band’s music with a singing freshness in his melodies, even the ones in asymmetric shapes, that’s most appealing. Dawkins also plays alto sax in gnarled, knobby lines with a tough attack; Ameen Muhammad plays especially exciting hot trumpet in distant, abstract phrases; the lyric, postbop trombone of Steve Berry often sounds conservative in contrast to Muhammad’s horn. Rollo Radford will play bass, and the terrific Avreeayl Ra generates enough power in his drumming to solve the international energy crisis all by himself. This concert is one of Arts Midwest’s Meet the Composer series. Saturday, 8 PM, Southend Musicworks, 1313 S. Wabash Ave.; 939-2848.