| KDIA used to be on 1310 in Berkeley, and in terms of overall sound was a carbon copy the great KGFJ 1230 in Los Angeles!
KDIA was never in Berkeley. It began in downtown Oakland as KLS in 1922, then became KWBR ("Warner Brothers Radio") under the same ownership in 1945, playing mostly brokered "foreign-language" programming in Portuguese, Spanish and Italian.
By the early 1950s, it had pivoted to what we know now as "Rhythm & Blues" music. It dueled with San Francisco's KSAN (1450 AM) for supremacy among Black listeners in the Bay Area through the 1950s and into the 1960s – KSAN even changed its call letters to KSOL (K-Soul) in 1964; it's been KEST since 1970.
KWBR was sold to Sonderling Broadcasting in 1959, when it became KDIA and began programming in the style of its co-owned sister station, WDIA in Memphis.
KDIA moved its transmitter site from downtown Oakland in June 1965 to a new site right next to the Bay Bridge Toll Plaza, where it remains today (although the station is now owned by Radio Punjab as KMKY).

I don't think – from the many years that I listened to KDIA – that it was a carbon copy of LA's KGFJ. Stylistically, KSAN/KSOL in the 1960s was closer to KGFJ, while KDIA was often closer in
style (but not
playlist) to KYA, KEWB or KFRC – that is, more tightly-formatted "Top 40 Soul" than the looser KSAN/KSOL.
DJ