GOINGS ON SANTA BARBARA : Country & Eastern : Offerings in the coming week range from classical sitar to Mexican folk music to a melange of domestic styles.

Entertainment in Santa Barbara County in the coming week will take on quite an international flavor, particularly at UC Santa Barbara, where there will be acts from India, Mexico and even as far away as Ohio.

First on the UCSB schedule is a Saturday visit by Imrat Khan, a classical sitar and surbahar player from India. Khan, who started performing at a very early age, comes from a musical family dating back to the 16th Century. He first went on tour, to the Soviet Union and Eastern Europe, with an Indian cultural delegation in 1956 and has played at such venues as Westminster Abbey, Lincoln Center, the Kremlin and the Acropolis. Khan’s son Shafaatullah will accompany him in this performance at UCSB’s Lotte Lehmann Concert Hall. General admission is $14. Call 893-3535.

And from an entirely different culture: Los Folkloristas, one of the premier folk music ensembles from Mexico, will perform at the university’s Campbell Hall on Sunday. The group brings with it more than 100 handmade instruments that, like the music the group performs, represent the diverse cultures of Latin America. Los Folkloristas formed in 1966 and is on its 25th anniversary tour. Show time is 7 p.m. Admission is $14, $12 and $10. Call 893-3535.

After all that music, how about some dancing? Assuming that Los Folkloristas can get all those instruments out of Campbell Hall in time, the Ohio Ballet will be in for shows Tuesday and Wednesday evenings. The program includes “Dark Elegies” by Antony Tudor, “Allegro Brillante” by George Balanchine, and “Duet” and “Andante Nobilissima” by the ballet’s artistic director, Heinz Poll. Tony Award nominee Thomas R. Skelton is the lighting designer. Both performances will begin at 8 p.m. Admission is $16, $14 and $10. Call 893-3535.

More music:

* The Santa Barbara Symphony officially opens its 1991-92 season (it unofficially opened last month) with performances Saturday and Sunday featuring guest pianist Grant Johannesen. The programs will include Mikhail Ivanovich Glinka’s “Russian and Ludmilla Overture,” Edvard Grieg’s “Concerto for Piano and Orchestra” (featuring Johannesen) and Antonin Dvorak’s “Symphony No. 8.” Saturday’s concert will begin at 8 p.m.; Sunday’s matinee at 3 p.m. Tickets range from $11.50 to $29.50 on Saturday and from $8.50 to $20.50 on Sunday. The concerts will be held at the Arlington Theater, 1317 State St. There will be a preconcert party at 5:30 p.m. Saturday at Paseo Nuevo Mall. Tickets are $60. For reservations or information, call 965-6596.

* Jazz-R & B-soul sextet Raw Silk, with lead singer Leslie Lembo, will perform at the Gainey Vineyard at 2:30 p.m. Sunday. The courtyard will open at 1 p.m. Tickets are $16 (purchasers also receive an etched wine glass). The vineyard is at 3950 E. California 246 in Santa Ynez. For tickets, call 688-0558.

* David West, another diverse artist (country-Western, bluegrass, rhythm & blues, folk) will open the “Concert Under the Oaks” at the Santa Barbara Botanic Garden on Sunday. He toured with the Cache Valley Drifters for 12 years and now plays with the Gatos de Amor band. West will be followed on the program by Marley’s Ghost, a group that performs country, blues, folk and reggae. The concert begins at 2 p.m. Tickets are $5. Call 563-2521. The garden is at 1212 Mission Canyon Road.

Back to that international flavor. The Santa Barbara Museum of Art will hold a traditional Japanese tea ceremony at 2:30 p.m. Saturday in honor of a visiting delegation from Toba, Japan, a sister city of Santa Barbara. Admission is $3. The museum is at 1130 State St. For information, call 963-4364.

The tea ceremony is being presented in conjunction with the “Sister Cities International Art Exhibition” on display at the museum’s Ridley-Tree Education Center, 1600 Santa Barbara St. The show features the work of children from Toba and Puerto Vallarta, Mexico.