> Thanks for the reference. I believe that piano tuners "stretch their > octaves" a bit to minimize beating caused by anharmony. This has the > effect of making the higher strings sound in tune with the upper > partials of the lower strings. Tuners don't tend to discuss stretching > in these terms, but I think it is a large part of the basis for it. > Clif Ashcraft > > [deletia...] > > ------ extPart_000_01BBF96D.205F7960 > Content-Type: application/ms-tnef > Content-Transfer-Encoding: base64 > > eJ8+IhERAQaQCAAEAAAAAAABAAEAAQeQBgAIAAAA5AQAAAAAAADoAAENgAQAAgAAAAIAAgABBJAG > ADABAAABAAAADAAAAAMAADADAAAACwAPDgAAAAACAf8PAQAAAE0AAAAAAAAAgSsfpL6jEBmdbgDd > AQ9UAgAAAAB0dW5pbmdAZWFydGhhLm1pbGxzLmVkdQBTTVRQAHR1bmluZ0BlYXJ0aGEubWlsbHMu > [...]
What's this last part, application/ms-tnef, and how do I read it?
Matt Nathan
Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Wed, 8 Jan 1997 05:37 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA21388; Wed, 8 Jan 1997 05:40:30 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA21379 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id UAA26707; Tue, 7 Jan 1997 20:40:27 -0800 Date: Tue, 7 Jan 1997 20:40:27 -0800 Message-Id: <32D3243B.65A@ix.netcom.com> Errors-To: madole@ella.mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu
> I got similar results from a harpsichord, but didn't have time to try > recording a low piano note
In the case of the low piano tones, from what I've seen anyway, I doubt if you'll find much of anything particularly nonharmonic other than some very low-frequency stuff resulting from the chorus effect between the two or three strings in each course.
High piano tones however will almost certainly show a moderately significant amount of aharmonicity.
You'll probablly see a very small, but definitely significant, amount of aharmonicity in typical brass tones.
Just as a general matter though, you would probably get somewhat more resolute results (if that's of interest) using the Phase Vocoding algorithm's method of tracking near-harmonic partials' frequency deviations. It does that by taking the time derivative of each partials' phase values. You have to have to look at a very short sliver of time to do that though.
Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl with SMTP-OpenVMS via TCP/IP; Fri, 10 Jan 1997 16:03 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA18551; Fri, 10 Jan 1997 16:06:46 +0100 Received: from eartha.mills.edu by ns (smtpxd); id XA18547 Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI) for id HAA09182; Fri, 10 Jan 1997 07:06:41 -0800 Date: Fri, 10 Jan 1997 07:06:41 -0800 Message-Id: <199701101000_MC2-E7C-6023@compuserve.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu