source file: m1397.txt Date: Mon, 27 Apr 1998 07:22:33 -0400 Subject: undertones From: monz@juno.com (Joseph L Monzo) Do undertones exist? No. Does the undertone series exist? Yes. These are simplified answers, designed to get your attention and provoke you into reading the rest of this. There have been a couple of postings recently describing some exceptional cases of a single played tone producing an undertone, and I'm still waiting to see Mrs. Strange's work on violin undertones (and would like to learn more about Tibetan singing), but by and large, undertones as an acoustical phenomenon of a single comlex tone, conceived as the reverse of overtones, don't exist. The _undertone series_, on the other hand, is certainly something that can be calculated and produced with integer math. Last night I heard Jon Catler's "Sleeping Beauty" for the first time, which is based on utonal harmonies. In one section, Catler played a harmonized melody on two high pitches, but had his amp and guitar volume controls set so that the played pitches were just about inaudible, but which were calculated to produce a melody on the low and strongly reinforced difference tones. Conclusive proof that there _is_ a such thing as an "undertone series". Perhaps the terminology is unfortunate, in which case we should find a better name for the phenomenon. BTW, if you can make it to Johnny Reinhard's "Micro Mystery Tour" concerts (AFMM '98) in New York on May 7th and 8th, you'll hear a new performance of "Sleeping Beauty" on the second night (in itself, a good enough reason to attend -- it's a _beautiful_ piece), and on the first night, the voice of God will sing undertones, à la the above-mentioned Tibetan monks, in the premiere of Reinhard's "Adam and Eve", . If _God_ sings in undertones, they _must_ exist.... : ) Joseph L. Monzo monz@juno.com _____________________________________________________________________ You don't need to buy Internet access to use free Internet e-mail. Get completely free e-mail from Juno at http://www.juno.com Or call Juno at (800) 654-JUNO [654-5866]