[QUOTE=Brain Wreck]
I have no objection to any nuanced scenario where any other interval was seen as “most similar”, provided that (and this is the important part) no other interval pair that is mathematically more similar would be seen as less similar. I can accept a scenario where fifths and octaves are seen with an equal amount of “sameness”. I explicitly reject any scenario where an interval of fifths is perceived as more similar than an interval of octaves. Please do not attribute any acceptance of such a scenario to me.
[/quote]
I see. And this does nearly resolve the contradiction I mentioned in my previous post. In that post, I pointed out that you have two views:
-
If it had been advantageous to do so, we could have evolved to hear fifths as “the same,”
-
Evolution can not but give organisms perceptual systems which yield similarity judgments which track, directly, objective physical similarities.
I said the second implies that nothing could evolve which hears fifths as “the same” since fifths aren’t the same. This contradicts the first view. However, as you point out, the second view I attribute to you shouldn’t be taken to mean that evolution can’t collapse some objective distinctions. Of course perceptual system collapse some objective distinctions. I see two red patches as “the same” even though their wavelenths differ at least slightly. It even happens (as in the case of “metamers”) that I can see color patches as “the same” whose spectral properties differ quite widely.
I’ll stipulate there’s no contradiction here after all, if the second view is understood in the right way.
Your second view does imply, again, as you point out, that fifths couldn’t be heard as more similar than octaves. As you know, this is the view I disagree with. I’ve explained why I disagree, on both logical and empirical grounds. I’ve explained that I think there is objective, empirical evidence that the view is controverted by our own perceptual system in at least three ways (I’ve named them previously in this thread,) and I’ve told you how you can make your view more plausible (by finding what I called a “dimension of similarity” in the physical world which our own color judgments directly track). I also understand you grow weary of this discussion, and I do not blame you. And as I’ve said, I find this particular claim that we’ve been discussing for the last several posts to be in no way central to the concern of the thread, nor to my own personal concern. I’m happy to discuss it, and I’m also happy to move the discussion somewhere else, and I’m also happy to let it drop. I think we’ve both had our say.
-FrL-