partial answers

[Joe And Penny Goss]

!/3 is not a multiple of 2
The really weird divisions of the string are reserved for the longitudional vibtation
Joe Goss RPT
Mother Goose Tools
imatunr at srvinet.com
www.mothergoosetools.com
  ----- Original Message ----- 
  From: Allan Gilreath, RPT 
  To: 'Pianotech List' 
  Sent: Friday, June 29, 2007 7:41 AM
  Subject: partial answers


  Good morning folks,

   

  I had a question from my apprentice that someone on the list may be able to help me with. We all know that vibrating strings divide up into segments with lengths approximately equal to fractional portions, i.e. ½, 1/3, ¼, 1/5, 1/6, etc. (we're not even taking inharmonicity into account at this level.) His question is, "Why does the string divide into all of the different available fractional segments and not just even multiples of two?" I was hoping for a much better answer than just, "Because it does" but Benade, Helmholtz and Rayleigh, the best I can tell, all assume this to be a fact and I don't really find the "why."

   

  Any thoughts?

   

  Allan

  Allan L. Gilreath, RPT

  Registered Piano Technician

  Allan Gilreath & Associates, Inc.

  The Piano Experts

  PO Box 1133 - Calhoun, GA 30703

  2612 Hwy 41 S - Calhoun, GA 30701

  allan at allangilreath.com - www.allangilreath.com

  phone 706 602-7667 - fax 706 602-0979

   
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