I forget where I encountered it, but I've seen similar encodings that eliminated the possibility of many possible encodings for the same number by making the length part of the value.

Values 0-127 are a single byte, but if that first byte has the continuation bit set, not only does that indicate the next byte has 7 more bits to contribute, it also moves the base up to the next window.

10000000 00000000 is the only way to represent 128.

10000000 10000000 00000000 is the only way to represent 16512.

Does this encoding have a name?