St. Mark's Episcopal Cathedral will present its traditional New Year's Eve all-Bach organ recital Monday at the cathedral, 231 E. 100 South, beginning at 8 p.m.

There cathedral organist Michael Shelton will present a program that will include the Prelude and Fugue in G minor (the "Great"), the Toccata, Adagio and Fugue in C major, the Prelude and Fugue in D major and the familiar Toccata and Fugue in D minor. Suggested donation is $3, with a communion service to follow the recital at approximately 9:30 p.m.- MUSIC OF THE STRAUSS FAMILY will again help usher in the new year as the Utah Symphony presents its annual "Evening in Vienna" Monday, Dec. 31, at 10 p.m. in Symphony Hall.

Under music director Joseph Silverstein, the orchestra will be heard in Johann Jr.'s "On the Beautiful Blue Danube," "Perpetuum Mobile," "Roses From the South" and "Pizzicato Polka" as well as Eduard Strauss' "Bahn Frei" and Johann Sr.'s "Radetzky March," a tradition, complete with hand-clapping, at the Vienna Philharmonic's own New Year's concerts.

Other selections will include the overtures to Mozart's "The Marriage of Figaro," Suppe's "The Beautiful Galathea," Nicolai's "The Merry Wives of Windsor" and Johann Jr.'s "Die Fledermaus," together with a group of Fritz Kreisler violin pieces (with Silverstein as soloist) and Weber's "Invitation to the Dance."

At midnight the party moves from the auditorium of Symphony Hall to the lobby and the north foyer of the Salt Palace for food, drink and dancing. Featured at Symphony Hall will be the Tom Cats, a '50s and '60s band, and in the Salt Palace the band Potpourri for the swingers, waltzers and boogie-minded. Besides the music and the buffet, the $40 ticket includes champagne, punch, party hats and noisemakers. (Student tickets are available for $25.)

For information call 533-NOTE.

- TENOR KEITH FURROWS will launch the 1991 Temple Square Concert Series with a performance Friday, Jan. 4, at 7:30 p.m. in the Assembly Hall.

Accompanied by pianist Joann Nichol, the New York-born Brigham Young University graduate will offer songs and arias of Schumann, Donoudy and Puccini ("Nessun dorma" from "Turandot") as well as sacred songs and a mix of Broadway show tunes.

BYU music faculty members Elaine Jorgensen, flute; David Randall, clarinet; and organist Parley Belnap will be featured Saturday, Jan. 5, at 7:30 p.m. in the Temple Square Assembly Hall. They will be heard in music of Franck (the "Grande Piece Symphonique"), Krebs, Mozart and Ibert. With bassoonist Christian B. Smith they will also perform Vivaldi's Trio in A minor for Flute, Bassoon and Continuo.

Admission to each is free but limited to those 8 and older.

- PIANIST YEFIM BRONFMAN returns to solo with the Utah Symphony this week in concerts Friday and Saturday, Jan. 4 and 5, in Symphony Hall.

With Joseph Silverstein conducting, the Russian-born pianist will solo in two works, Prokofiev's Piano Concerto No. 1 in D flat major and Liszt's Concerto No. 2 in A major. In addition the evening will begin with Haydn's Symphony No. 88 in G major and conclude with Richard Strauss' tone poem "Till Eulenspiegel's Merry Pranks."

An exclusve CBS/Sony Classical recording artist, Bronfman's recent recording of the Seventh and Eighth Prokofiev Piano Sonatas met with critical acclaim. This past year he made his debut at the Tanglewood Festival with the Boston Symphony and took part in the San Francisco Symphony's gala celebrating the 70th birthday of Isaac Stern.

The pianist emigrated to Israel from the Soviet Union in 1973, when he was 15. Three years later he came to this country to study with Leon Fleisher and Rudolf Serkin. He has been an American citizen since 1989.

Tickets, priced from $10 to $27 ($5 students), are available at the Symphony Hall box office, 533-NOTE.

- THE LEONARDO TRIO makes its Utah debut this week with a concert Friday, Jan. 4, at 8 p.m. in the Museum of Fine Arts on the University of Utah campus.

Under the auspices of the Chamber Music Society of Salt Lake City, the group will perform three pieces, Haydn's Piano Trio in E flat major, H. XV:30; Brahms' Trio in C major, Op. 87; and the local premiere of the Andrew Imbrie Piano Trio, composed this year.

Under sponsorship of the Utah Arts Council, the group will also travel to Logan, Delta and St. George for concerts. The Logan performance, co-sponsored by the Chamber Music Society of Logan, will take place Saturday, Jan. 4, at 8 p.m. in Utah State University's Eccles Conference Center, a program of Beethoven, Imbrie and Ravel. At Delta High School Monday, Jan. 7, at 7:30 p.m. they will perform Haydn, Ravel and Brahms and Tuesday, Jan. 8, at 8 p.m. in the Dixie Center trios of Beethoven, Imbrie and Brahms.

Organized in 1985, the Leonardo Trio is composed of violinist Erica Kiesewetter, cellist Jonathan Spitz and pianist Cameron Grant. In 1989 they were finalists in the Naumburg Chamber Music Competition, prizewinners in the Concert Artists Guild Competition and made their debut at New York's 92nd St. Y. Their debut recording of works by Smetana, Shostakovich and Martinu is available on the XLNT label.

While in Salt Lake City, they will also present a master class at the University of Utah, Thursday, Jan. 3, at 2 p.m. in Room 303 of Gardner Hall. Admission to the master class is free and open to the public.