﻿128 
  

  

  Prof. 
  E. 
  H. 
  Barton 
  on 
  Range 
  and 
  

  

  of 
  the 
  silk 
  line 
  constant 
  at 
  200 
  gin. 
  weight. 
  Four 
  forks 
  

   were 
  used 
  of 
  frequencies 
  128, 
  256, 
  384, 
  and 
  512 
  per 
  second, 
  

   giving 
  1, 
  2, 
  3, 
  and 
  4 
  segments 
  respectively, 
  the 
  transverse 
  

   mode 
  of 
  the 
  experiment 
  being 
  in 
  use. 
  The 
  normal 
  length 
  

   of 
  the 
  thread 
  for 
  best 
  tuning 
  was 
  slightly 
  under 
  a 
  metre, 
  

   say 
  98*5 
  cm. 
  The 
  range 
  of 
  resonance 
  was 
  roughly 
  estimated 
  

   by 
  the 
  increase 
  or 
  decrease 
  of 
  length 
  of 
  line 
  necessary 
  to 
  

   practically 
  destroy 
  the 
  response, 
  the 
  fork 
  being 
  bowed 
  with 
  

   the 
  same 
  vigour 
  all 
  through. 
  This 
  was 
  soon 
  seen 
  to 
  be 
  

   distinctly 
  greater 
  for 
  the 
  low 
  frequencies 
  than 
  for 
  the 
  high 
  

   ones. 
  In 
  this, 
  the 
  first 
  laboratory 
  test 
  of 
  the 
  theory, 
  no 
  

   refinement 
  was 
  aimed 
  at, 
  but 
  to 
  avoid 
  any 
  false 
  conclusion 
  

   due 
  to 
  a 
  biassed 
  expectation, 
  the 
  test 
  was 
  repeated 
  by 
  two 
  

   scholarship 
  students 
  (Messrs. 
  C. 
  Hayes 
  and 
  A. 
  Warren) 
  who 
  

   had 
  no 
  idea 
  what 
  to 
  expect. 
  Their 
  results 
  are 
  entered 
  for 
  

   the 
  second 
  experiment 
  in 
  Table 
  II. 
  The 
  intervals 
  are 
  given 
  

   in 
  Ellis's 
  logarithmic 
  cents, 
  1200 
  to 
  the 
  octave. 
  

  

  Table 
  II. 
  

   Melde's 
  Experiment 
  with 
  Tension 
  of 
  200 
  gm. 
  wt. 
  

  

  1 
  Freqnen 
  

  

  cies 
  of 
  Forks 
  , 
  

  

  128 
  

   1 
  

  

  256 
  

  

  384 
  

  

  512 
  

  

  

  Number 
  of 
  Segments 
  in 
  Silk 
  Line 
  ... 
  

  

  2 
  

  

  3 
  

  

  4 
  

  

  © 
  

  

  s 
  

  

  'si 
  ** 
  

  

  3 
  £> 
  

  

  CV5 
  

  

  o 
  — 
  

  

  © 
  >» 
  

  

  u 
  

  

  Extreme 
  Lengths 
  (in 
  cms.) 
  

   of 
  line 
  for 
  appreciable 
  

   response. 
  

  

  110 
  

  

  87 
  

  

  104 
  

   93 
  

  

  102 
  

   96 
  

  

  101-5. 
  

  

  97 
  

  

  Differences 
  of 
  Lengths 
  ... 
  

  

  23 
  

  

  11 
  

  

  6 
  

  

  4-5 
  

  

  Intervals 
  of 
  mistiming 
  (in 
  

   cents) 
  above 
  and 
  below. 
  

  

  } 
  18 
  

  

  9 
  

  

  5 
  

  

  3-5 
  

  

  03 
  > 
  

  

  B 
  © 
  

   '£ 
  Ja 
  

   %o 
  

  

  o 
  _« 
  

   w 
  § 
  

  

  o 
  5 
  

   © 
  ^-» 
  

  

  Extreme 
  Lengths 
  (in 
  cms.) 
  

   of 
  line 
  for 
  appreciable 
  

   response. 
  

  

  121 
  

  

  81 
  

  

  113 
  

  

  85 
  

  

  110 
  

   90 
  

  

  106 
  

   93 
  

  

  Differences 
  of 
  Lengths 
  ... 
  

  

  40 
  

  

  28 
  

  

  20 
  

  

  13 
  

  

  Intervals 
  of 
  mistuning 
  (in 
  

   cents) 
  above 
  and 
  below. 
  

  

  1 
  75 
  

  

  22 
  

  

  16 
  

  

  7 
  

  

  