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Adapting John Cage’s Radio Music for digital performance
Lindsay Vickery
Western Australian Academy of Performing Arts
Edith Cowan University
A	
   1950s	
   RCA	
   “Golden	
   Throat”	
   radio	
  
similar	
   to	
   the	
   type	
   John	
   Cage	
  
conceived	
  Radio	
  Music	
  for.	
  Note	
  the	
  
AM	
   kHz	
   dial	
   shows	
   frequencies	
  
abbreviated	
  to	
  two	
  numbers.	
  	
  
Cage’s Radio Works
Imaginary Landscape No. 4 (1951) for 12 radios
Speech 1955 (1955) for 5 radios and newsreader
Radio Music (1956) 1-8 radios
I didn't myself turn on a radio to listen to it;
but when I was going through the streets or
when a neighbor was playing the radio, and
so forth, I listened as though I were listening
to a musical instrument. (…) It made it
possible for me to listen to radio with great
interest, no matter what it was doing.
Kostelanetz 1986 A Conversation about Radio p. 220
CAGE	
  AND	
  THE	
  RADIO	
  
Authenticity to the score.
The issue of “Available Indeterminacy”: when at least one musical
parameter is fixed, each “free” choice made by the performer
reduces the “available indeterminacy” of the remaining choices.
The articulation of Formal Structure that emerges from Cage’s
specifications.
“Authentic performance” issues.
THE	
  ISSUES	
  
Radio frequencies arranged in columns in the score of Part A of Radio Music.
THE	
  SCORE	
  
THE	
  SCORE	
  
The Instructions (Part A)
“Part A of Radio Music to be played alone or in a
combination with parts B-H. In 4 sections (I-IV) to be
programmed by the player with or without silences
between the sections, the 4 to take place within a total
time-length of 6 minutes. Duration of the individual
tunings free. Each tuning to be expressed by
maximum amplitude. A _______ indicates ‘silence’
obtained by reducing amplitude approximately to
zero. Before beginning to play, turn radio on with
amplitude near zero.”
I (29%) II (20%) III (25%) IV (26%)
Determinate Elements
Total Duration less than 6 minutes
Total no. of Frequencies
per part
A B C D E F G H
68 51 86 42 36 70 71 46
A B C D E F G H
Number of frequencies per
part per section
I 28 15 37 8 8 7 44 3
II 11 14 30 2 10 16 6 1
III 3 2 11 23 2 7 2 38
IV 26 20 8 9 16 40 19 4
Largest number of
frequencies per section
I II III IV
44 30 38 40
1 2 3 4
A B C D E F G H A B C D E F G H A B C D E F G H A B C D E F G H
105 92 84 97 79 71 117 0 56 92 55 125 66 81
5
5
97 0 107 109 57 86 130 105 105 99 91 135 104 55 105 64 63
0 0 99 0 0 78 140 105 124 91 145 0 64 0 0 76 0 153 86 0 73 0 0 0 117 99 124 0 68 57 69
125 124 125 120 71 120 0 0 125 84 76 57 137
1
0
9
0 0 0 99 91 69 96 69 0 99 0 61 0
55 57 0 0 63 0 107 0 57 0 55 153 0 71 66 0 79 0 76 0 76 86 55 0 151
0 109 145 71 57 153 91 120 0 107 71 0
1
2
0
107 151 55 0 91 105 120 109 0 0 124
91 55 84 0 107 0 55 55 125 57 0 120 0 0 84 153 71 0 0 0 0 71 128 143
60 0 91 104 86 74 124 56 55 0 122 0 92 86 91 109 146 135 55 138 0 0 55
69 94 57 0 57 0 125 122 91 55 57 0 55 115 69 0 73 0 55 125 0
76 57 0 76 69 0 57 57 0 69 127 55 0 74 55 0 84 145
112 0 66 0 84 86 0 0 140 0 86 109 97 94 86 0 0
56 71 107 148 120 74 92 69 148 99 124 0 57 91 71 76
0 0 0 55 124 0 138 68 0 91 71 0 0 140
86 55 151 110 60 57 0 55 61 156 58 57 68 64
73 0 71 73 0 61 155 115 124 0 156 135 55 69
127 109 86 0 0 0 73 109 55 73 0 0 81
73 91 96 55 84 69 0 155 69 105 148 55
148 55 68 0 84 74 128 0 0 0
76 107 0 124 57 0 0 109 55 57
109 0 86 91 97 92 138 0 78 0
63 81 153 0 107 0 0 79 0
67 69 0 97 124 57 107 104
91 109 57 92 55 0 0 86
86 0 0 0 74 84 99 74
73 57 96 76 124 0 0
107 91 81 0 0 153 94
0 0 124 55 94 63 0
69 55 0 97 55 60
107 0 71 92 0 0
68 112 78 153 92
96 0 57 84 115
79 71 127 0
73 112 0 57
91 156 73 107
55 74 0 0
0 137 127 73
107 0 0 55
55 92 0 0
55 64 76
0 0
61 120
112
92
87
76
28 15 37 8 8 7 44 3 11 14 30 2 10 16 6 1 3 2 11 23 2 7 2 38 26 20 8 9 16 40 19 4
IMPLICATIONS	
  OF	
  THE	
  SCORE	
  
Determinate Elements: Performative limitations
There are performative limitations upon the speed that a
performer can adjust the tuning and volume of the radio.
IMPLICATIONS	
  OF	
  THE	
  SCORE	
  
56 mHz
72 mHz
volume
Max. Vol. Max. Vol.
tuning volume
156 mHz
0 mHz
The minimum rate of change was estimated to be 1.5 seconds.
Frequency 1 Frequency 2
IMPLICATIONS	
  OF	
  THE	
  SCORE	
  
movements parts A B C D E F G H
min-max min-max min-max min-max min-max min-max min-max min-max min-max
I 44 -198 2 -7 3 -13 1 -5 6 -25 6 -25 6 -28 1 -4 15-65
II 45 -177 3 -17 2 -13 1 -6 15-91 3 -18 2 -11 5 -30 30-182
III 57 -189 13-63 19-95 3 -17 2 -8 19-95 5 -27 19-95 1 -5
IV 60 -192 2 -7 2 -10 5 -24 4 -21 3 -12 1 -5 2 -10 10 -48
Minimum Section Duration
– the largest number of tuning changes multiplied by 1.5 seconds
For example: (Section 1) 44*1.5 = 66
Maximum Section Duration
– total duration minus the remaining Section duration (assuming all
other sections at at their minimum ÷ the number of tunings changes.
For example: Section =360-((30*1.5)+(38*1.5)+(40*1.5))=198
IMPLICATIONS	
  OF	
  THE	
  SCORE	
  
Indeterminate Elements
Number of Parts Performed: 1-8
Duration: between 152-360 seconds.
At the level of the work’s four sections, the “available indeterminacy” of
Cage’s “free duration of tunings” is minimally bounded by the shortest time
required to perform all tunings in a section, and maximally by the remaining
time required to perform the tunings in the other three sections.
These boundaries are shown below.
Examples of potential proportions of the four sections:
Equal weighting of the
maximum number of
frequencies in each section.
Section I with maximum
duration and all other sections
with minimum duration.
Section II with maximum
duration and all other sections
with minimum duration.
IMPLICATIONS	
  OF	
  THE	
  SCORE	
  
104 72 90 94
198 45 6057
177 605766
movements parts A B C D E F G H
min-max min-max min-max min-max min-max min-max min-max min-max min-max
I 44 -196 2 -7 3 -13 1 -5 6 -25 6 -25 6 -28 1 -4 15-65
II 30 -182 3 -17 2 -13 1 -6 15-91 3 -18 2 -11 5 -30 30-182
III 38 -190 13-63 19-95 3 -17 2 -8 19-95 5 -27 19-95 1 -5
IV 40 -192 2 -7 2 -10 5 -24 4 -21 3 -12 1 -5 2 -10 10 -48
Indeterminate Elements
The “available indeterminacy” of each section and frequency is calculated:
Minimum Frequency Duration
– shortest time required to perform a tuning (1.5 s)
Maximum Frequency Duration
– total assigned section duration minus the	
  remaining	
  Jme	
  
	
   	
   	
   	
  required	
  to	
  perform	
  the	
  other	
  tunings	
  in	
  the	
  current	
  secJon.	
  
IMPLICATIONS	
  OF	
  THE	
  SCORE	
  
2 109
3 109
4 109
1 110
1 112
2 112
3 112
4 112
1 117
1 120
2 120
1 124
2 124
3 124
1 125
2 125
1 127
1 137#!"
$!"
%!"
&!"
'!!"
'#!"
'$!"
'%!"
'&!"
incidence no. frequencies
1 19 56, 60, 61, 66, 67, 78, 87, 94, 97, 99, 104, 110, 117, 127, 137, 140, 145, 151, 156
2 11 63, 68, 74, 79, 81, 84, 105, 120, 125, 148, 153
3 4 69, 92, 96, 124
4 3 76, 109, 112
5 2 73, 86
7 4 57, 71, 91, 107
10 1 55
blank 37
FORMAL IMPLICATIONS
OF THE SCORE
Forty-four different carrier frequencies are used in the 150 frequency changes specified
amongst the eight parts of Radio Music. The	
   carrier	
   frequencies	
   are	
   not	
   uniformly	
  
distributed	
  across	
  the	
  AM	
  spectrum.	
  These are graphed in ascending order below.	
  
FORMAL IMPLICATIONS OF THE SCORE
Although Radio Music can not rely on the elements typically found in musical
discourse, it does potentially draw on recognizable elements that could be expected
to give rise to some of the experiences typical of musical listening, such as
expectation, surprise a sense of departure and return, conjunction and disjunction of
the sonic materials and so on.
105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148
92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0
84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57
97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0
79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 63 57
71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0
117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105
71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0
97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0
79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 63 57
92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0
105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148
84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57
117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71
117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71
84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57
105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148
92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0
79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 0 0 63 63 63 63 63 63 63 0 0 57
97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0
71 71 71 71 71 71 71 71 0 0 78 78 78 78 0 120 120 120 120 120 120 120 120 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105
Part G Part C Part A Part B Part D Part E Part F Part H
(low)frequency(high)
105 105
0
0
125 55
55
0
0
91
60
60
69
69
76 112 112 56
56
0
86
86
73
73 127 73
73 148
92
92
92
0
0
0
124 124 124 57
57
57 109 109 109 55
55
55
0
0
0
94
94
94
57
57
57
0
84
99 125
0
145 145 84
91
57
0
66
66 107
0
151 71
86
86
91
55 107
0
81
81
69 109
0
57
97
97
97
97
97
0
0
0
0
0
0
120 120 120 120 120
0
0
0
0
0
71
71
71
71
71
0
0
79
79
79
79
79
79
0
0
0
0
71
71
71
71
71
71
71
63
63
63
63
63
63
63
63
63
63
57
71
71
71
71
71
71
71
71
78
78
78
78
78
78 120 120 120 120 120 120 120 120 120
0
0
0
0
0
117 140
0
107 91
55 124
0
76
0
148 55 110 73
0
96
68
0
86 153
0
57
0
96
81 124
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
105 105 105 105 105 105 105 105 105 105 105 1
0
0
0
0
0
0
0
0
0
0
0
105 105 105 105 105 105 105 105 105 1
71
71
71
78
78
78
78
78
78 120 120 120 120 120 120 120 120 120
0
0
0
0
0
120 120 120 120 120
0
0
0
0
0
71
71
0
0
71
71
71
71
71
71
71
63
63
63
63
63
7
57
57 109 109 109 55
55
55
0
0
0
60
69
69
76 112 112 56
56
0
8
07
0
151 71
86
86
91
55
0
96
68
0
86
PartG
PartC
PartA
PartB
PartD
PartE
PartF
PartH
A graph of the carrier frequency structure of the 8 parts in Section I.
FORMAL IMPLICATIONS
OF THE SCORE
Carrier frequencies of radio broadcasts do not specify
pitch – so in what way can they be considered to be
“form-bearing”?
• usually roughly predictable - Classical Music,
Rock, Jazz, talkback and so on – and in cases
with detailed program listings quite precise.
• strong consistency over a short period of time
(such as found in Radio Music), generating what
we might consider a linear “narrative”, that
emerges as a consequence of the timbre of a
presenter’s voice the continuity of a piece of
music, the subject matter under discussion and
so on.
• many broadcasters also have a distinctive timbre
and dynamic, resulting from varied studio
equipment, production approaches and broadcast
strength.
Frequencies without radio broadcasts generally give rise to static which	
  has	
  
specific	
  colours	
  in	
  different	
  parts	
  of	
  the	
  AM	
  band.	
  
FORMAL IMPLICATIONS OF THE SCORE
Radio broadcasts are strongest at a specific frequency, but are spread, increasingly
weakly over a band of frequencies about 10 kHz on either side, so a specific carrier
frequency number may be “in the middle” of a broadcast frequency or in the
“detuned” penumbra of the broadcast in which the broadcast is still present, but
often mixed with static or spill from other broadcasts.
Centre broadcast frequency
signal
noise noise
signal
umbra
signal
umbra
- 10 kHz 	
   + 10 kHz 	
  
Both broadcast signals and static are struck as a consequence of performers tuning
from frequency to frequency.
105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148
92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0
84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57
97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0
79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 63 57
71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0
117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105
71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0
97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0
79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 63 57
92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0
105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148
84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57
117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71
117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71
84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57
105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148
92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0
79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 0 0 63 63 63 63 63 63 63 0 0 57
!"#$%&% !"#$%'% !"#$%(% !"#$%)% !"#$%*% !"#$%+% !"#$%,% !"#$%-%
57/56/57
66/67/68/69
137/140
145 148 151 153 156
91/92
71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0
117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 10
71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0
97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0
79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 6
92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 5
105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 7
84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0
117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0
117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0
84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0
105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 7
92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 5
79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 0 0 63 63 63 63 63 63 63 0 0
97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0
71 71 71 71 71 71 71 71 0 0 78 78 78 78 0 120 120 120 120 120 120 120 120 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 10
!"#$%&% !"#$%'% !"#$%(% !"#$%)% !"#$%*% !"#$%+% !"#$%,% !"#$%-%
(start)  duration  (end)
(low)frequency(high)
(start)  duration  (end)
A “wire-frame” cross section of the representation of frequency changes. The lower graph
shows the incidence of recurring frequencies with potentially form-bearing characteristics.
(low)frequency(high)
FORMAL IMPLICATIONS OF THE SCORE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105
0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105
71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120
97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71
79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63
92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94
105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86
99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0
140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57
140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57
99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0
57/56/57
66/67/68/69
137/140
145 148 151 153 156
91/92
0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105
0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105
71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120
97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71
79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63
92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94
105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86
99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0
140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57
140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57
99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0
(start)  duration  (end)
(low)frequency(high)
(start)  duration  (end)
The actual formal structure of a particular performance of Radio
Music emerges as a result of:
• the number of parts that are performed simultaneously,
• the temporal occurrence of frequencies in each performed
part,
• the number and frequencies of radio broadcasters in that
region,
• the location of the performer,
• the qualities of the radios.
(low)frequency(high)
The Interface
select performance duration
THE RADIO MUSIC SCOREREADER
Choosewhichpartstoperform select the duration of gaps between the movements
select the degree of randomness
set the minimum frequency duration
set the delay prior to the beginning of the performance
evaluatesectionlengths
evaluatefrequencylengths
start
save
THE RADIO MUSIC SCOREREADER
The parameters chosen by the performer(s) are calculated to generate a screenscore
to assist performance of the work.
1, 58;!
2, 18;!
3, 166;!
4, 162;!
5, 14;!
6, 66;!
7, 182;!
8, 30;!
9, 94;!
10, 130;!
11, 190;!
12, 2;!
13, 142;!
14, 174;!
15, 146;!
16, 110;!
17, 118;!
18, 90;!
19, 78;!
20, 134;!
21, 82;!
22, 46;!
23, 138;!
24, 86;!
25, 186;!
26, 74;!
27, 50;!
28, 178;!
29, 114;!
0, 2;!
1, 14;!
2, 18;!
3, 30;!
4, 46;!
5, 50;!
6, 58;!
7, 66;!
8, 74;!
9, 78;!
10, 82;!
11, 86;!
12, 90;!
13, 94;!
14, 110;!
15, 114;!
16, 118;!
17, 130;!
18, 134;!
19, 138;!
20, 142;!
21, 146;!
22, 162;!
23, 166;!
24, 174;!
25, 178;!
26, 182;!
27, 186;!
28, 190;!
The durations of the sections are evaluated by calculating the
length of each movement as a deviation from its “ideal”
proportion. The results are then scaled to the total duration that
have been chosen.
The durations of frequencies are evaluated by randomly assigning
each of the frequencies in the section to a value between zero and
the total duration of the section.
The random numbers, corresponding to the point of occurrence of
each frequency, are then reordered in an ascending sequence.
total duration (D) calculation Example (duration 360 s)
largest no. of frequencies (f)
performed by any part in
sections I+II+III+IV
fi
=44 fii
=30 fiii
=38 fiv
=40
sum of the largest
frequencies (F)
fi
+ fii
+ fii
+ fiv
152 
relative proportions (p)
of each section
f(i-iv)
/F pi
=0.29 pii,
=0.20 piii
=0.25 piv
=0.26
average duration in seconds of
each section (S) (D*pi-iv
)
Si
, Sii
, Siii
, Siv
104 71 90 95
randomness of section lengths S(i-iv)
(+/- r)
104(+/-8) 71(+/-8) 90(+/-8) 95(+/-8)
100 (-4) 63(+1) 83 (-7) 91(-4)
 Scaled
  (S(i-)
(+/- r))
107 67  89  97 
/ S(i-iv)
(+/- r)* Si
IMPLICATIONS	
  OF	
  THE	
  SCORE	
  
THE REAL-TIME SCREEN-SCORE
The Scoreplayer is a real-time representation of the performers radio dial, showing the
tuning frequency to be performed (left number box) and its approximate position. The
notional position of the tuning indicator of the performer’s radio is shown by scrolling
frequency value and black line.
The	
  44	
  frequencies	
  specified	
  in	
  the	
  work	
  ploNed	
  against	
  the	
  actual	
  exisJng	
  local	
  
and	
  regional	
  radio	
  staJons	
  that	
  might	
  be	
  detected	
  from	
  Perth,	
  Western	
  Australia	
  in	
  
2011.	
  As	
  can	
  be	
  seen,	
  only	
  four	
  of	
  the	
  eleven	
  local	
  radio	
  staJons	
  coincide	
  with	
  
frequencies	
  specified	
  by	
  Cage.	
  In	
  regional	
  staJons	
  are	
  included	
  the	
  number	
  goes	
  up	
  
to	
  17	
  out	
  of	
  44	
  staJons.
PERFORMANCE	
  OF	
  RADIO	
  MUSIC	
  
The result of the ever-diminishing number of AM band radio stations is that
Radio Music will be increasingly comprised of static rather than signal.
• to embrace the realties of evolving technology and realize the
work principally with the “noise” of static;
• to “transpose” the work into a frequency band such as FM which
is still relatively populated with Radio stations;
• to “narrowcast” internet radio stations in the vicinity of the
performance.
PERFORMANCE	
  OF	
  RADIO	
  MUSIC	
  
FUTURE	
  WORK	
  
• Refinement of sensitivity to the physical distance between
tuning positions on the radio.
• the application of this scoreplayer to directly controlling
radios.
• to “narrowcast” internet radio stations in the vicinity of the
performance.
• investigation of formal structure through mapping the
trajectories of frequencies across a large number of
performances.
Adapting John Cage’s Radio Music for a digital score player (2012) Lindsay Vickery

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Adapting John Cage’s Radio Music for a digital score player (2012) Lindsay Vickery

  • 1. Adapting John Cage’s Radio Music for digital performance Lindsay Vickery Western Australian Academy of Performing Arts Edith Cowan University
  • 2. A   1950s   RCA   “Golden   Throat”   radio   similar   to   the   type   John   Cage   conceived  Radio  Music  for.  Note  the   AM   kHz   dial   shows   frequencies   abbreviated  to  two  numbers.     Cage’s Radio Works Imaginary Landscape No. 4 (1951) for 12 radios Speech 1955 (1955) for 5 radios and newsreader Radio Music (1956) 1-8 radios I didn't myself turn on a radio to listen to it; but when I was going through the streets or when a neighbor was playing the radio, and so forth, I listened as though I were listening to a musical instrument. (…) It made it possible for me to listen to radio with great interest, no matter what it was doing. Kostelanetz 1986 A Conversation about Radio p. 220 CAGE  AND  THE  RADIO  
  • 3. Authenticity to the score. The issue of “Available Indeterminacy”: when at least one musical parameter is fixed, each “free” choice made by the performer reduces the “available indeterminacy” of the remaining choices. The articulation of Formal Structure that emerges from Cage’s specifications. “Authentic performance” issues. THE  ISSUES  
  • 4. Radio frequencies arranged in columns in the score of Part A of Radio Music. THE  SCORE  
  • 5. THE  SCORE   The Instructions (Part A) “Part A of Radio Music to be played alone or in a combination with parts B-H. In 4 sections (I-IV) to be programmed by the player with or without silences between the sections, the 4 to take place within a total time-length of 6 minutes. Duration of the individual tunings free. Each tuning to be expressed by maximum amplitude. A _______ indicates ‘silence’ obtained by reducing amplitude approximately to zero. Before beginning to play, turn radio on with amplitude near zero.”
  • 6. I (29%) II (20%) III (25%) IV (26%) Determinate Elements Total Duration less than 6 minutes Total no. of Frequencies per part A B C D E F G H 68 51 86 42 36 70 71 46 A B C D E F G H Number of frequencies per part per section I 28 15 37 8 8 7 44 3 II 11 14 30 2 10 16 6 1 III 3 2 11 23 2 7 2 38 IV 26 20 8 9 16 40 19 4 Largest number of frequencies per section I II III IV 44 30 38 40 1 2 3 4 A B C D E F G H A B C D E F G H A B C D E F G H A B C D E F G H 105 92 84 97 79 71 117 0 56 92 55 125 66 81 5 5 97 0 107 109 57 86 130 105 105 99 91 135 104 55 105 64 63 0 0 99 0 0 78 140 105 124 91 145 0 64 0 0 76 0 153 86 0 73 0 0 0 117 99 124 0 68 57 69 125 124 125 120 71 120 0 0 125 84 76 57 137 1 0 9 0 0 0 99 91 69 96 69 0 99 0 61 0 55 57 0 0 63 0 107 0 57 0 55 153 0 71 66 0 79 0 76 0 76 86 55 0 151 0 109 145 71 57 153 91 120 0 107 71 0 1 2 0 107 151 55 0 91 105 120 109 0 0 124 91 55 84 0 107 0 55 55 125 57 0 120 0 0 84 153 71 0 0 0 0 71 128 143 60 0 91 104 86 74 124 56 55 0 122 0 92 86 91 109 146 135 55 138 0 0 55 69 94 57 0 57 0 125 122 91 55 57 0 55 115 69 0 73 0 55 125 0 76 57 0 76 69 0 57 57 0 69 127 55 0 74 55 0 84 145 112 0 66 0 84 86 0 0 140 0 86 109 97 94 86 0 0 56 71 107 148 120 74 92 69 148 99 124 0 57 91 71 76 0 0 0 55 124 0 138 68 0 91 71 0 0 140 86 55 151 110 60 57 0 55 61 156 58 57 68 64 73 0 71 73 0 61 155 115 124 0 156 135 55 69 127 109 86 0 0 0 73 109 55 73 0 0 81 73 91 96 55 84 69 0 155 69 105 148 55 148 55 68 0 84 74 128 0 0 0 76 107 0 124 57 0 0 109 55 57 109 0 86 91 97 92 138 0 78 0 63 81 153 0 107 0 0 79 0 67 69 0 97 124 57 107 104 91 109 57 92 55 0 0 86 86 0 0 0 74 84 99 74 73 57 96 76 124 0 0 107 91 81 0 0 153 94 0 0 124 55 94 63 0 69 55 0 97 55 60 107 0 71 92 0 0 68 112 78 153 92 96 0 57 84 115 79 71 127 0 73 112 0 57 91 156 73 107 55 74 0 0 0 137 127 73 107 0 0 55 55 92 0 0 55 64 76 0 0 61 120 112 92 87 76 28 15 37 8 8 7 44 3 11 14 30 2 10 16 6 1 3 2 11 23 2 7 2 38 26 20 8 9 16 40 19 4 IMPLICATIONS  OF  THE  SCORE  
  • 7. Determinate Elements: Performative limitations There are performative limitations upon the speed that a performer can adjust the tuning and volume of the radio. IMPLICATIONS  OF  THE  SCORE  
  • 8. 56 mHz 72 mHz volume Max. Vol. Max. Vol. tuning volume 156 mHz 0 mHz The minimum rate of change was estimated to be 1.5 seconds. Frequency 1 Frequency 2 IMPLICATIONS  OF  THE  SCORE  
  • 9. movements parts A B C D E F G H min-max min-max min-max min-max min-max min-max min-max min-max min-max I 44 -198 2 -7 3 -13 1 -5 6 -25 6 -25 6 -28 1 -4 15-65 II 45 -177 3 -17 2 -13 1 -6 15-91 3 -18 2 -11 5 -30 30-182 III 57 -189 13-63 19-95 3 -17 2 -8 19-95 5 -27 19-95 1 -5 IV 60 -192 2 -7 2 -10 5 -24 4 -21 3 -12 1 -5 2 -10 10 -48 Minimum Section Duration – the largest number of tuning changes multiplied by 1.5 seconds For example: (Section 1) 44*1.5 = 66 Maximum Section Duration – total duration minus the remaining Section duration (assuming all other sections at at their minimum ÷ the number of tunings changes. For example: Section =360-((30*1.5)+(38*1.5)+(40*1.5))=198 IMPLICATIONS  OF  THE  SCORE   Indeterminate Elements Number of Parts Performed: 1-8 Duration: between 152-360 seconds. At the level of the work’s four sections, the “available indeterminacy” of Cage’s “free duration of tunings” is minimally bounded by the shortest time required to perform all tunings in a section, and maximally by the remaining time required to perform the tunings in the other three sections. These boundaries are shown below.
  • 10. Examples of potential proportions of the four sections: Equal weighting of the maximum number of frequencies in each section. Section I with maximum duration and all other sections with minimum duration. Section II with maximum duration and all other sections with minimum duration. IMPLICATIONS  OF  THE  SCORE   104 72 90 94 198 45 6057 177 605766
  • 11. movements parts A B C D E F G H min-max min-max min-max min-max min-max min-max min-max min-max min-max I 44 -196 2 -7 3 -13 1 -5 6 -25 6 -25 6 -28 1 -4 15-65 II 30 -182 3 -17 2 -13 1 -6 15-91 3 -18 2 -11 5 -30 30-182 III 38 -190 13-63 19-95 3 -17 2 -8 19-95 5 -27 19-95 1 -5 IV 40 -192 2 -7 2 -10 5 -24 4 -21 3 -12 1 -5 2 -10 10 -48 Indeterminate Elements The “available indeterminacy” of each section and frequency is calculated: Minimum Frequency Duration – shortest time required to perform a tuning (1.5 s) Maximum Frequency Duration – total assigned section duration minus the  remaining  Jme          required  to  perform  the  other  tunings  in  the  current  secJon.   IMPLICATIONS  OF  THE  SCORE  
  • 12. 2 109 3 109 4 109 1 110 1 112 2 112 3 112 4 112 1 117 1 120 2 120 1 124 2 124 3 124 1 125 2 125 1 127 1 137#!" $!" %!" &!" '!!" '#!" '$!" '%!" '&!" incidence no. frequencies 1 19 56, 60, 61, 66, 67, 78, 87, 94, 97, 99, 104, 110, 117, 127, 137, 140, 145, 151, 156 2 11 63, 68, 74, 79, 81, 84, 105, 120, 125, 148, 153 3 4 69, 92, 96, 124 4 3 76, 109, 112 5 2 73, 86 7 4 57, 71, 91, 107 10 1 55 blank 37 FORMAL IMPLICATIONS OF THE SCORE Forty-four different carrier frequencies are used in the 150 frequency changes specified amongst the eight parts of Radio Music. The   carrier   frequencies   are   not   uniformly   distributed  across  the  AM  spectrum.  These are graphed in ascending order below.  
  • 13. FORMAL IMPLICATIONS OF THE SCORE Although Radio Music can not rely on the elements typically found in musical discourse, it does potentially draw on recognizable elements that could be expected to give rise to some of the experiences typical of musical listening, such as expectation, surprise a sense of departure and return, conjunction and disjunction of the sonic materials and so on. 105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148 92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0 84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57 97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0 79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 63 57 71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105 71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0 97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0 79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 63 57 92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0 105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148 84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71 84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57 105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148 92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0 79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 0 0 63 63 63 63 63 63 63 0 0 57 97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0 71 71 71 71 71 71 71 71 0 0 78 78 78 78 0 120 120 120 120 120 120 120 120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105 Part G Part C Part A Part B Part D Part E Part F Part H (low)frequency(high) 105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148 92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0 84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57 97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0 79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 63 57 71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 1 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 1 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 0 0 71 71 71 71 71 71 71 63 63 63 63 63 7 57 57 109 109 109 55 55 55 0 0 0 60 69 69 76 112 112 56 56 0 8 07 0 151 71 86 86 91 55 0 96 68 0 86 PartG PartC PartA PartB PartD PartE PartF PartH A graph of the carrier frequency structure of the 8 parts in Section I.
  • 14. FORMAL IMPLICATIONS OF THE SCORE Carrier frequencies of radio broadcasts do not specify pitch – so in what way can they be considered to be “form-bearing”? • usually roughly predictable - Classical Music, Rock, Jazz, talkback and so on – and in cases with detailed program listings quite precise. • strong consistency over a short period of time (such as found in Radio Music), generating what we might consider a linear “narrative”, that emerges as a consequence of the timbre of a presenter’s voice the continuity of a piece of music, the subject matter under discussion and so on. • many broadcasters also have a distinctive timbre and dynamic, resulting from varied studio equipment, production approaches and broadcast strength. Frequencies without radio broadcasts generally give rise to static which  has   specific  colours  in  different  parts  of  the  AM  band.  
  • 15. FORMAL IMPLICATIONS OF THE SCORE Radio broadcasts are strongest at a specific frequency, but are spread, increasingly weakly over a band of frequencies about 10 kHz on either side, so a specific carrier frequency number may be “in the middle” of a broadcast frequency or in the “detuned” penumbra of the broadcast in which the broadcast is still present, but often mixed with static or spill from other broadcasts. Centre broadcast frequency signal noise noise signal umbra signal umbra - 10 kHz   + 10 kHz   Both broadcast signals and static are struck as a consequence of performers tuning from frequency to frequency.
  • 16. 105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148 92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0 84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57 97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0 79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 63 57 71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 105 105 71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 0 97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 0 79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 63 57 92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0 105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148 84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 71 84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 57 105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 73 148 92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 57 0 79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 0 0 63 63 63 63 63 63 63 0 0 57 !"#$%&% !"#$%'% !"#$%(% !"#$%)% !"#$%*% !"#$%+% !"#$%,% !"#$%-% 57/56/57 66/67/68/69 137/140 145 148 151 153 156 91/92 71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 10 71 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 120 0 0 0 0 97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 63 63 63 63 6 92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 5 105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 7 84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 117 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 0 96 81 124 0 84 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 81 81 69 109 0 105 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 73 73 127 73 7 92 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 94 94 57 57 5 79 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 0 0 63 63 63 63 63 63 63 0 0 97 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 71 71 71 71 0 71 71 71 71 71 71 71 71 0 0 78 78 78 78 0 120 120 120 120 120 120 120 120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 105 105 105 105 10 !"#$%&% !"#$%'% !"#$%(% !"#$%)% !"#$%*% !"#$%+% !"#$%,% !"#$%-% (start)  duration  (end) (low)frequency(high) (start)  duration  (end) A “wire-frame” cross section of the representation of frequency changes. The lower graph shows the incidence of recurring frequencies with potentially form-bearing characteristics. (low)frequency(high) FORMAL IMPLICATIONS OF THE SCORE
  • 17. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 57/56/57 66/67/68/69 137/140 145 148 151 153 156 91/92 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 0 0 0 0 0 0 0 0 0 0 0 0 0 0 105 105 105 105 105 105 105 71 71 71 71 71 71 71 78 78 78 78 78 78 120 120 120 120 120 120 120 120 97 97 97 97 0 0 0 0 0 0 120 120 120 120 120 0 0 0 0 0 71 79 79 79 79 79 0 0 0 0 71 71 71 71 71 71 71 63 63 63 63 63 92 92 0 0 0 124 124 124 57 57 57 109 109 109 55 55 55 0 0 0 94 105 0 0 125 55 55 0 0 91 60 60 69 69 76 112 112 56 56 0 86 86 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 140 0 107 91 55 124 0 76 0 148 55 110 73 0 96 68 0 86 153 0 57 99 125 0 145 145 84 91 57 0 66 66 107 0 151 71 86 86 91 55 107 0 (start)  duration  (end) (low)frequency(high) (start)  duration  (end) The actual formal structure of a particular performance of Radio Music emerges as a result of: • the number of parts that are performed simultaneously, • the temporal occurrence of frequencies in each performed part, • the number and frequencies of radio broadcasters in that region, • the location of the performer, • the qualities of the radios. (low)frequency(high)
  • 18. The Interface select performance duration THE RADIO MUSIC SCOREREADER Choosewhichpartstoperform select the duration of gaps between the movements select the degree of randomness set the minimum frequency duration set the delay prior to the beginning of the performance evaluatesectionlengths evaluatefrequencylengths start save
  • 19. THE RADIO MUSIC SCOREREADER The parameters chosen by the performer(s) are calculated to generate a screenscore to assist performance of the work. 1, 58;! 2, 18;! 3, 166;! 4, 162;! 5, 14;! 6, 66;! 7, 182;! 8, 30;! 9, 94;! 10, 130;! 11, 190;! 12, 2;! 13, 142;! 14, 174;! 15, 146;! 16, 110;! 17, 118;! 18, 90;! 19, 78;! 20, 134;! 21, 82;! 22, 46;! 23, 138;! 24, 86;! 25, 186;! 26, 74;! 27, 50;! 28, 178;! 29, 114;! 0, 2;! 1, 14;! 2, 18;! 3, 30;! 4, 46;! 5, 50;! 6, 58;! 7, 66;! 8, 74;! 9, 78;! 10, 82;! 11, 86;! 12, 90;! 13, 94;! 14, 110;! 15, 114;! 16, 118;! 17, 130;! 18, 134;! 19, 138;! 20, 142;! 21, 146;! 22, 162;! 23, 166;! 24, 174;! 25, 178;! 26, 182;! 27, 186;! 28, 190;! The durations of the sections are evaluated by calculating the length of each movement as a deviation from its “ideal” proportion. The results are then scaled to the total duration that have been chosen. The durations of frequencies are evaluated by randomly assigning each of the frequencies in the section to a value between zero and the total duration of the section. The random numbers, corresponding to the point of occurrence of each frequency, are then reordered in an ascending sequence.
  • 20. total duration (D) calculation Example (duration 360 s) largest no. of frequencies (f) performed by any part in sections I+II+III+IV fi =44 fii =30 fiii =38 fiv =40 sum of the largest frequencies (F) fi + fii + fii + fiv 152  relative proportions (p) of each section f(i-iv) /F pi =0.29 pii, =0.20 piii =0.25 piv =0.26 average duration in seconds of each section (S) (D*pi-iv ) Si , Sii , Siii , Siv 104 71 90 95 randomness of section lengths S(i-iv) (+/- r) 104(+/-8) 71(+/-8) 90(+/-8) 95(+/-8) 100 (-4) 63(+1) 83 (-7) 91(-4)  Scaled   (S(i-) (+/- r)) 107 67  89  97  / S(i-iv) (+/- r)* Si IMPLICATIONS  OF  THE  SCORE  
  • 21. THE REAL-TIME SCREEN-SCORE The Scoreplayer is a real-time representation of the performers radio dial, showing the tuning frequency to be performed (left number box) and its approximate position. The notional position of the tuning indicator of the performer’s radio is shown by scrolling frequency value and black line.
  • 22. The  44  frequencies  specified  in  the  work  ploNed  against  the  actual  exisJng  local   and  regional  radio  staJons  that  might  be  detected  from  Perth,  Western  Australia  in   2011.  As  can  be  seen,  only  four  of  the  eleven  local  radio  staJons  coincide  with   frequencies  specified  by  Cage.  In  regional  staJons  are  included  the  number  goes  up   to  17  out  of  44  staJons. PERFORMANCE  OF  RADIO  MUSIC   The result of the ever-diminishing number of AM band radio stations is that Radio Music will be increasingly comprised of static rather than signal.
  • 23. • to embrace the realties of evolving technology and realize the work principally with the “noise” of static; • to “transpose” the work into a frequency band such as FM which is still relatively populated with Radio stations; • to “narrowcast” internet radio stations in the vicinity of the performance. PERFORMANCE  OF  RADIO  MUSIC  
  • 24. FUTURE  WORK   • Refinement of sensitivity to the physical distance between tuning positions on the radio. • the application of this scoreplayer to directly controlling radios. • to “narrowcast” internet radio stations in the vicinity of the performance. • investigation of formal structure through mapping the trajectories of frequencies across a large number of performances.