By Howard Mandel

At this mid-summer point, it’s pretty clear: We’re hot, jazz venues are ultra-air-conditioned, the music evokes dimensions beyond temperature. And then there are the open-air events. Here are two weeks of recommendations for all over Manhattan.

July 14-18, 9 & 11 p.m.: Jenny Scheinman, a uniquely dry, sly and edgy violinist, hasn’t yet revealed all she can do; Wilco guitarist Nels Cline is in her quartet Mischief & Mayhem. Village Vanguard, 7th Ave. South; $30.

July 15, 12:30 p.m.: Myron Walden, a determined and original multi-saxophonist who released five of his compositions in five contrasting sub-styles last year, leads his mellow—not to say smooth—ensemble In This World, at St. Peter’s Church, Lexington Ave. (at 54th St.); Free.

July 16-17, 8 p.m.: Arch-sensitive pianist Fred Hersch and Italian clarinetist Nico Gori elaborate on compositions to defy category and beg description at Kitano, 88 Park Ave. (at E. 38th St.); $25, $15 drink min.

July 16, 9 p.m., 10:30 & midnight: Melvin Sparks, soul-guitar picker, brings his usually hard-bopping combo to the Lenox Lounge, 288 Malcolm X Blvd. (at 125th St.); $20.

July 17, 9 & 10:30 p.m.: Drummer Tony Moreno leads a top-flight modernist quintet, every nuance and leap from worthy soloists Ron Horton (trumpet), Marc Moomas (tenor sax) and keyboardist Gary Verace audible in Cornelia Street Café, 29 Cornelia St.; $10.

July 18, 7 p.m.: Alto saxophonist Oliver Lake, bassist Mark Helias and drummer Andrew Cyrille offer abstractions inspired by sculptures and street noise. MoMA, 11 W. 53rd St.; Free.

July 19, 8 & 10 p.m.: Guitarists Doug Wamble and Charlie Hunter with the Les Paul (memorial) Trio. Wamble’s twang and Hunter’s two-part synchronicity provide a study in contrasts. Iridium, 1650 Broadway (at 50th St.), $30.

July 19, 7 p.m.: Chicago flutist-composer Nicole Mitchell’s Truth or Dare trio among a cavalcade of breakthrough groups at The Local 269, a forthright music bar. 269 E. Houston St.; $10.

July 20-24, 8:30 & 11 p.m.: The Maria Schneider Orchestra performs its leader’s precisely beautiful compositions during a five-night run at Birdland, 315 W. 44th St.; $30 cover.

July 20, 10 p.m.: Gunter Hampel, the European-born free-jazz dervish on vibes, flute, piano, whatever. Bowery Poets Café, 308 Bowery; $10 cover.

July 21, 8 p.m.: Elder statesman tenor saxophonist Jimmy Heath titled his recently published autobiography I Walked With Giants, and gives trumpeter Jeremy Pelt, alto saxist Steve Wilson, trombonist Steve Davis, pianist Bill Charlap and drummer Lewis Nash the chance to walk with him, at the 92nd Street Y, 1395 Lexington Ave. $20+.

July 22, 1 & 4 p.m.: Guitarist Mary Halvorson, NYC’s least-predictable improviser, takes on works by iconoclast Christian Marclay. Whitney Museum, 945 Madison Ave.; $18.

July 23-25, 8 & 10 p.m.: Geri Allen, a pianist-composer of mysterious charms, debuts her newly recorded trio Timeline, featuring tap dancer Maurice Chestnut, at Iridium, 1650 Broadway (at 50th St.).

July 25, 8 p.m.: Peter Apfelbaum, tenor saxophone, in probing duet with pianist Marilyn Crispell. The Stone, Avenue C and 2nd St.; $10.

July 26, 7:30 & 9:30 p.m.: The Mingus Orchestra with Craig Handy and Ku-umba Frank Lacy, largest of three explosive ensembles keeping the bassist’s legacy alive. The Jazz Standard, 116 E. 27th St.; $25 cover.

July 27, 8:30 & 11 p.m.: Charlie Haden, America’s rootsiest bassist, with his Quartet West featuring tenor saxophonist Ravi Coltrane, at Birdland, 315 W. 44th St.

July 29, 8 p.m.: Not the last tango for saxophonist Gato Barbieri. B.B. King’s Blues Club and Grill, 237 W. 42nd St.; $40.

July 30, 12:30 p.m.: Armen Donelian, an elegant pianist with a wide-ranging repertoire at Bryant Park, 42nd St. at 6th Ave.; Free.

July 30, 9 & 10:30 p.m.: Drummer Ziv Ravitz’s rhapsodic international trio Minsarah, with bassist Jeff Denson and pianist Florian Weber. The Jazz Gallery, 290 Hudson St.; $15.

July 30, 8 & 10 p.m.: John Zorn’s Improv Night, where anything can happen, with Creative Music Studio founder Karl Berger among the guests at The Stone, Avenue C and 2nd St.; $20.