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 and...???
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She is about 35 pounds, she will bark in a protective/territorial mode but only then. Loves to yoddle and sing along with music. -
Nice looking girl. How tall is she? It might be interesting to do a DNA test.
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She is about 19" at the shoulder. We have thought about it but I haven't heard good things about the reliability.
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She is really cute though I don't see Basenji. Like Shirley said, only a DNA can tell you much for certain.