At 11:37 AM +0100 8/9/11, Steve Parker wrote:
>  >
>>  It's marginally closer to the #4 than to the 
>>P4. It's not anywhere near what we call in tune 
>>these days, but it's enough to be interpreted 
>>by our ears as the #4.
>
>Very marginally (1 cent)..... I don't hear it as an augmented fourth.

No, it fits perfectly into the natural harmonic 
series as a small whole-number multiple of the 
fundamental frequency.  It does NOT fit into the 
artificial equal-tempered scale, nor is there any 
reason to expect it to.

(Hint:  NO equal tempered interval matches the 
harmonic series intervals except the octave, and 
on a grand piano not even the octaves are pure 
because of inharmonicity created by the high 
string tension.)

John


-- 
John R. Howell, Assoc. Prof. of Music
Virginia Tech Department of Music
School of Performing Arts & Cinema
College of Liberal Arts & Human Sciences
290 College Ave., Blacksburg, Virginia 24061-0240
Vox (540) 231-8411  Fax (540) 231-5034
(mailto:john.how...@vt.edu)
http://www.music.vt.edu/faculty/howell/howell.html

"Machen Sie es, wie Sie wollen, machen Sie es nur schön."
(Do it as you like, just make it beautiful!)  --Johannes Brahms

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