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Subject:
From:
Stuart Frankel <[log in to unmask]>
Reply To:
Harpsichords and Related Topics <[log in to unmask]>
Date:
Mon, 8 Feb 2016 08:46:40 -0500
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On 02/08/2016 08:18 AM, T. Diehl wrote:


> 1. [Assuming a simple sine wave] How is the pitch of the note registered in the ear?

As you said, by vibrations of the tympanum.


> 2. How does this sound become perceived in the brain?

Doesn't matter - if the pitch isn't registered in the ear, it won't be 
perceived in the brain.

So, let's go back to #1.

I think we agree that the eardrum must register one complete waveform in 
order for the pitch to register. And we also agree that the limit of 
human discrimination is on the order of 1 Hz (actually, it seems to be 
something greater).

So, these are not points of disagreement.

The problem I'm having is that your reasoning doesn't make any sense to 
me. You say, I think, that humans can't discriminate between 415 and 
415.3 only because the difference is less than 1 complete cycle. Do I 
understand this correctly? If so, this seems wrong. Among other problem, 
it seems to imply the following:

- if we play test tones for 10 seconds instead of 1, that we can (in 
principle) differentiate.

- instruments can't detect the difference between 415 and 415.3, which 
we know is false.

Since these implications are wrong, it would seem that the logic is faulty.

If you could address the two points indicated with a hyphen above, it 
might help clear things up.

(And, again, I must protest the tone of your message to David Pickett.)

best,
  Stuart

-- 
i still have a very small website
http://dustyfeet.com

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