These next few weeks will find Boston the hottest in its history, musically speaking. For jazz-lovers who like their music pure and uncommercial, "Wild Bill" Davison blows a fabulous trumpet at the Ken, 58 Warrenton St., just beyond the Met Theater in downtown Boston. With him is a truly "All-Star" band, featuring such the jazz-men as Rod Cless, clarinet, James P. Johnson, piano, and Sandy Williams, trombone.

For those whose tastes run to bigger and more danceable bands, Jack Teagarden fills the bill at the Raynor Ballroom, right next to Symphony Hall in Back Bay. Starting Tuesday, Stan Kenton's boys replace Teagarden.

At the Tie Toe, meanwhile, right opposite the Met Theater, is one of the greatest trumpeters of all time, Louis Armstrong, and his orchestra. Starting February 28th. Lionel Hampton will play for what should be a very solid month.

To top off the list, one of the greatest jazz orchestras, Duke Ellington's, will play at the RKO Boston Theater in downtown Boston, a whole week starting February 25th.