source file: m1393.txt Date: Wed, 22 Apr 1998 14:33:10 -0400 Subject: RE: JI Tuning Resolution From: "Paul H. Erlich" >Another consideration that deserves some thought along these lines is >that very few acoustic instruments have their overtones within 1 cent of >exact harmonics. So, if the ideal is to realize the natural sound of real >acoustic instruments, within 1/2 cent of exact JI ratios, then that might >end up somewhat like painting a bullseye with a spray can: Your mark >may >be centered right on the center of the target, but it might still cover a >quarter of the radius of the target. Last time we had this discussion, we agreed (I thought) that bowed strings, winds, and brass instruments had exact integer harmonics for as long as they sustain a consistent tone. That is a physical fact, true of any system with a 1-component driver, which oscillates periodically and therefore (by Fourier's theorem) has exact integer overtones. I don't think of that as very few acoustic instruments. Plucked or hammered strings are slightly inharmonic, while drums, bells, and gongs are totally inharmonic. A lot of misunderstanding arises on this issue because the modes of vibration of strings, winds, and brass instruments are not exactly harmonic series. But that is not the same thing as saying the timbres of these instruments contain inharmonic partials. The latter statement would be incorrect. You'd be better off pointing out that few of the acoustic instruments with exact harmonic partials (or rather, the players of such instruments) can produce a pitch which does not waver more than 1 cent.