Hi all,
"3dB is twice the gain, 10 dB is ten times the gain. It is a log scale..."
That statement is contradictory, do the math correctly next time. For every 3dB the signal doubles. For example, take a 4W CB signal into a dipole. It produces 4W ERP, but 3dB gives 8W ERP, another 3 and you have 16W ERP. Just adding one more dB won't jump the signal to 40W ERP by any stretch of the imagination, 3 more and you have 32W ERP. That's power gain, for receive you have to calculate dB/uV which to state it simply the received signal doubles with every 6dB, your thinking of dB/W.
The bottom line is dBi is lower than dBd because an isotropic radiator is a theoretical point source radiating equally well in all directions, a spherical pattern. No such thing exists in the real world, refereced to a dipole or groundplane (dBd) is realistic. Manufacturers rely on snake oil salesmen to hype specs so take it all with a grain of salt.
Now I'm off to Sesame Street where Kermit is singing Rubber Duckie. While he's having fun in the bath tub I'll toss in a few dBs with my rubber duck antenna and watch him jump. (;->)
The only gain antennas are single band colinears and beam types, rhombic, Sterba curtain, log periodic, helical, Yagi and such. Bandwidth vs. gain is an important factor, wider bandwidth, less gain and vice versa.