Hi Jim, I have always wondered about the series of harmonics above the primary ones. I don't even know how to refer to them. The interval the fourth with its 4:3 ratio, should have partials with a 8:6 ratio, and why not a 16:12 ratio as well? The point is the 8:6 should beat twice as fast as the 4:3, so at the place in the scale where the fourth beats one per second, on paper we have the 8:6 beating at two per second. I don't hear these. Do the coincident beats reinforce each other and the peak geometry obscure the feebler more frequent beats? You mention the 8:6 ratio can be heard in ghost tone fashion. I am not familiar with this term or concept. Could you explain it further? Richard Moody. ---------- > From: Jim Coleman, Sr. <pianotoo@IMAP2.ASU.EDU> > To: Richard Moody <remoody@easnet.net> > Cc: pianotech@ptg.org > Subject: Re: Inharmonicity in strings > Date: Monday, June 15, 1998 12:13 AM > > Hi Richard: > snip the 8:6 relationship. It is there and can be heard. It is very > easily measured. My D3-G3 measures 2.1 cents wide at that coincidence. > It is easily heard in ghost tone fashion. > > Jim Coleman, Sr.
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