This is a multi-part message in MIME format. ---------------------- multipart/alternative attachment Hello Bob Yes, I agree. There is no likelihood of the exact science of sound and = its harmonics being produced text-book fashion in the piano. The = principle applies though - and I doubt it's far removed from the "text = book" version. What say you? Michael G (UK) ----- Original Message -----=20 From: BobDavis88@aol.com=20 To: pianotech@ptg.org=20 Sent: Monday, October 20, 2003 4:54 PM Subject: Re: "The Invisible Tool"/beat rates - and where they come from In a message dated 10/20/2003 8:24:56 AM Pacific Standard Time, = michael@gambles.fsnet.co.uk writes: Take your M10 based on A# (which computes at 466.16376.....)The 5th. = harmonic of that A# =3D 2796.9826...... the M10 is F(which computes at = 1396.9129.......) The 2nd. harmonic of that F = =3D2793.8259...... There we have a difference of 3.1567..... Hz which is = the beat you hear Sorry, no. Have you read the recent replies on inharmonicity? You might = be correct for organ tuning, but not for piano. On the piano, partials = are not exact multiples on ANY note, covered or metal; and not even in = the temperament octave are notes PRECISELY related by the 12th root of = two. It's just a little wider. Bob Davis ---------------------- multipart/alternative attachment An HTML attachment was scrubbed... URL: https://www.moypiano.com/ptg/pianotech.php/attachments/9c/85/65/8c/attachment.htm ---------------------- multipart/alternative attachment--
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