﻿28 
  

  

  Mr. 
  A. 
  J. 
  Ellis 
  on 
  Musical 
  Duodenes. 
  [Nov. 
  19, 
  

  

  the 
  digitals 
  to 
  be 
  as 
  follows 
  for 
  No. 
  11 
  of 
  Table 
  III., 
  in 
  eighths 
  of 
  

   an 
  inch 
  : 
  — 
  

  

  C 
  D 
  f 
  e[> 
  E 
  E 
  tg\> 
  a 
  tab 
  A 
  fb\> 
  B 
  

  

  535355353535 
  

  

  The 
  digitals 
  corresponding 
  to 
  the 
  small 
  letters 
  are 
  to 
  rise 
  J 
  inch 
  above 
  

   the 
  others 
  and 
  to 
  be 
  bevelled, 
  so 
  that 
  they 
  are 
  § 
  inch 
  wide 
  at 
  bottom, 
  and 
  

   | 
  inch 
  wide 
  at 
  top. 
  Each 
  step 
  is 
  then 
  a 
  miniature 
  finger-board 
  in 
  

   the 
  ordinary 
  arrangement. 
  Whenever 
  any 
  note 
  occurs 
  in 
  4 
  consecutive 
  

   steps, 
  as 
  shown 
  by 
  the 
  cross 
  lines 
  in 
  Table 
  III., 
  its 
  4 
  digitals 
  are 
  to 
  be 
  

   consolidated 
  into 
  one, 
  so 
  that, 
  except 
  in 
  " 
  steps 
  " 
  1 
  to 
  3 
  and 
  26 
  to 
  29, 
  the 
  

   digitals 
  will 
  be 
  practically 
  3 
  inches 
  long. 
  To 
  show 
  which 
  digitals 
  are 
  

   consolidated, 
  colour 
  the 
  low 
  wide 
  digitals 
  alternately 
  white 
  and 
  light 
  

   red, 
  and 
  the 
  high 
  narrow 
  digitals 
  alternately 
  light 
  blue 
  and 
  light 
  

   brown, 
  distinctions 
  of 
  colour 
  easily 
  seen. 
  To 
  mark 
  the 
  duodene, 
  

   draw 
  a 
  black 
  line, 
  J 
  inch 
  broad, 
  across 
  the 
  digital 
  bearing 
  the 
  name 
  

   of 
  the 
  duodene, 
  and 
  put 
  a 
  black 
  circle 
  of'^ 
  inch 
  in 
  diameter 
  on 
  the 
  

   tonic 
  of 
  the 
  major 
  scale 
  which 
  it 
  contains. 
  The 
  lines 
  thus 
  marked, 
  

   together 
  with 
  the 
  alternation 
  of 
  colour, 
  wdll 
  clearly 
  distinguish 
  each 
  

   duodene. 
  

  

  The 
  depth 
  of 
  this 
  manual 
  from 
  front 
  to 
  back 
  would 
  be 
  21 
  1 
  inches, 
  and 
  

   the 
  rise 
  7| 
  inches 
  ; 
  the 
  width 
  of 
  an 
  Octave 
  from 
  C 
  to 
  B 
  is 
  Q\ 
  inches, 
  

   and 
  from 
  C 
  to 
  c 
  is 
  6|- 
  inches. 
  This 
  last 
  width 
  is 
  7f 
  inches 
  on 
  the 
  

   piano; 
  but 
  as 
  the 
  hand 
  would 
  on 
  the 
  duodenary 
  always 
  have 
  to 
  dip 
  

   between 
  high 
  digitals 
  to 
  strike 
  Octaves 
  of 
  low 
  digitals, 
  it 
  must 
  be 
  

   held 
  more 
  upright, 
  and 
  hence 
  its 
  span 
  will 
  be 
  less. 
  A 
  manual 
  of 
  

   five 
  Octaves 
  and 
  one 
  note, 
  C 
  to 
  c"", 
  will 
  be 
  31-| 
  inches 
  long. 
  The 
  

   number 
  of 
  movable 
  digitals 
  in 
  each 
  column 
  of 
  Table 
  III., 
  is 
  8, 
  which 
  

   open 
  only 
  4 
  valves 
  ; 
  this 
  will 
  necessitate 
  coupling 
  — 
  the 
  details 
  result- 
  

   ing 
  from 
  Table 
  III., 
  which 
  may 
  be 
  considered 
  as 
  a 
  ground-plan 
  of 
  this 
  

   manual 
  1 
  . 
  

  

  1 
  When 
  this 
  paper 
  was 
  read 
  I 
  mentioned 
  that 
  the 
  48 
  tones, 
  making 
  29 
  duodenes, 
  of 
  

   Tables 
  II. 
  and 
  III. 
  could 
  be 
  played 
  on 
  Mr. 
  Bosanquet's 
  " 
  generalized 
  key 
  -board," 
  as 
  

   exhibited 
  to 
  the 
  Eoyal 
  Society 
  when 
  his 
  paper 
  was 
  read 
  on 
  January 
  30, 
  1873, 
  with 
  less 
  

   difficulty 
  in 
  mechanism 
  than 
  by 
  the 
  plan 
  I 
  proposed 
  (of 
  which 
  a 
  model 
  was 
  exhibited), 
  

   but 
  that 
  slightly 
  new 
  fingering 
  wordd 
  then 
  be 
  necessary 
  ; 
  and 
  also 
  that 
  the 
  72 
  tones 
  of 
  

   Table 
  I., 
  lines 
  p 
  to 
  x, 
  making 
  53 
  duodenes, 
  might 
  be 
  played 
  by 
  the 
  same 
  arrangement 
  

   on 
  a 
  manual 
  not 
  larger 
  than 
  that 
  which 
  I 
  proposed 
  for 
  the 
  48 
  tones 
  or 
  29 
  duodenes 
  ; 
  

   and 
  hence 
  that 
  the 
  sole 
  advantage 
  of 
  my 
  scheme 
  for 
  a 
  manual 
  was 
  its 
  preservation 
  of 
  

   the 
  present 
  fingering, 
  against 
  which 
  had 
  to 
  be 
  set 
  off 
  the 
  advantage 
  that 
  the 
  new 
  finger- 
  

   ing 
  of 
  Mr. 
  Bosanquet 
  would 
  be 
  the 
  same 
  in 
  all 
  keys 
  or 
  duodenes. 
  The 
  intonation, 
  

   however, 
  would 
  remain 
  different 
  from 
  Mr. 
  Bosanquet's. 
  

  

  