David... Google has it different. The 12th root of 2 is 1.05946309 The 19th root of 3 is 1.05952606 Which I think you will find are the correct figures. If you take even a low number like 220hz and multiply that out over an octave range by each value... you'll end up with a 3rd of a bps difference at 440. Add in all the intervals we need to take consideration to its clear that imposing a P 12th system will yield a significantly different, that is to say discernible to the ear should one take the time to notice, result. That said... given the famous temperament tests of a decade or more ago... I'll go along ways down any road with you that implies it doesnt make all that much difference. At least not to most people and not all that consciously to most of those who on some level or another do "notice" Fred... excellent post... I have to read it a couple times on the morrow and reply. But off hand I'd agree that we are very much more on the same page then not. Tho to be sure, and as is my wont, I differ here and there :) Late here... I'm 56 today... and off to bed Cheers ! RicB Fred: The 12th root of 2.0012 is the equivalent of the 19th root of 3 to 4 decimal places (1.059516053 rather than 1.059526065). dp
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