wiring and diagram

Yes this simple transistor circuit can be used as a home door bell and it’s ON time can be set as preferred by the user, meaning if you wanted that the sound of the bell to remain switched  ON for a particular period of time, you could easily do it just by adjusting the given pot.

The actual tune  is derived from the IC UM66 and the associated components, while all the included transistors along with the relay are configured for producing the time delay for keeping the music switched ON. Link

R1, R2,  R4, R5 = 1K

VR1 = 100K,

D1, D2 = 1N4007,

C1, C2 = 100uF/25
T1, T3 = BC547,

T2 = BC557

Z1 = 3V/400mW

Transformer = 0-12V/500mA,

S1 = Bell Push

IC = UM66