Piece o’ cake.
“Ragtime” is a composed, written-down music meant for dancing, extremely popular between the 1880s and WWI. It’s a strongly rhythmic music due to “syncopation,” which means temporary displacement of the regular metrical accent caused, typically, by stressing the weak beat…oh, hell. Just hum a few bars of “The Entertainer” or “Maple Leaf Rag,” you’ll see what it means.
Usually thought of as a piano music, ragtime was also performed and recorded by guitarists, banjo-players, bands, and orchestras.
“Jazz” is a catch-all term for 20th century improvised music which encompasses several subgenres, including…
“Swing,” which usually refers to big band jazz of the 1930s and early 1940s. Swing music was the most commercially successful jazz in history. Fletcher Henderson and Don Redman began arranging dance music for “hot” bands in the '20s. The Casa Loma orchestra proved that there was an audience. By 1938, white bandleaders like Benny Goodman, Artie Shaw, Harry James, and Gene Krupa were pulling down big bucks. Black bandleaders like Duke Ellington, Count Basie, Jimmie Lunceford, and Andy Kirk were creating some of the most sophisticated and elegant orchestral jazz ever. These types of bands, incidentally, usually included 3-5 trumpets, 3-4 trombones, a AATTB quintet of saxophones (some of whom doubled on clarinet), guitar, piano, bass, and drums.
“Bebop” was an early-1940s rebellion against the Swing “establishment,” started by young black musicians. It featured more complex harmonies, convoluted melodic lines, and rapid, frantic tempo. It was a form of musical one-upmanship…“See, you’re full of shit as a jazzman, 'cause you can’t keep up with us!” Early bop was performed by small combos instead of large bands, usually trumpet/sax/piano/bass/drums. (The trombone and the larger saxes were initially considered too clumsy for such a fleet music…it wasn’t until later in the 1940s that J.J. Johnson and Serge Chaloff, to give two examples, got on board.) Among the innovators were alto saxophonist Charlie Parker, trumpeter Dizzy Gillespie, pianist Bud Powell, and drummer Kenny Clarke, who developed a style of keeping the time primarily on his cymbals rather than snare and tom-tom (as a Swing drummer would), and by dropping “bombs”: loud crashes on the bass drum. That distinctive drum sound gave “bebop” its name. By 1950 it had been decisively shortened to “bop.”