Another possibility might be Rat Terrier. They do come in brindle, although that colour is out of favour. There is one in my neighbourhood that has a bit of a Basenji look to him, and his tail is very short.......not sure if it's natural or docked.
Basenji Mix?
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We got Pedro from a shelter so we have no idea what his parents where but my vet thinks he's a shiba ini or basenji . He's about 4 months old and weighs about 18 lbs.From reading the personality description and from some of his features , i'm convinced he has some basenji in him, opinions ? What could he be mixed with , or if not basenji other guesses in what breeds?