You are once again focusing on Western Music here. So perhaps the idea that 'the twelfth root of two' is the natural division is not correct ?
Vernon:
Your later comments re the experiments with alternative divisions put me
in mind of the sterile attempts to depart from the God-ordained working
week of 7 days. Clearly, as far as man is concerned, the present,
time-honoured, arrangement is the only acceptable one.>>
Is it ? That is very narrow minded imho of course. The fact that it is acceptable for you since it serve your purpose is not a workable definition of 'acceptable'
Vernon: However, interesting as these matters are, you have failed to address
the nub of my question: "What advantage does a singing hominid have in
the evolutionary scheme of things?">>
Why should there be an advantage ? For some animals, the ability to vocalize sounds does have an evolutionary advantage although it increases visibility to predators it also increases visibility to potential mates. Perhaps serenading increased a human's ability to find a mate (tongue in cheek).