Standard MIDI File Format
Dustin Caldwell
The standard MIDI file format is a very
strange beast. When viewed as a
whole, it can be quite overwhelming. Of course, no matter how you look
at it,
describing a piece of music in enough detail to be able to reproduce
it
accurately is no small task. So, while complicated, the structure of
the midi
file format is fairly intuitive when understood.
I must insert a disclaimer here that
I am by no means an expert with
midi nor midi files. I recently obtained a Gravis UltraSound board
for my PC,
and upon hearing a few midi files (.MID) thought, "Gee, I'd like to
be able to
make my own .MID files." Well, many aggravating hours later, I discovered
that
this was no trivial task. But, I couldn't let a stupid file format
stop me.
(besides, I once told my wife that computers aren't really that hard
to use,
and I'd hate to be a hypocrite) So if any errors are found in this
information, please let me know and I will fix it. Also, this document's
scope
does not extend to EVERY type of midi command and EVERY possible file
configuration. It is a basic guide that should enable the reader (with
a
moderate investment in time) to generate a quality midi file.
1. Overview
A midi (.MID) file contains basically
2 things, Header chunks and Track
chunks. Section 2 explains the header chunks, and Section 3 explains
the track
chunks. A midi file contains ONE header chunk describing the file format,
etc., and any number of track chunks. A track may be thought of in
the same
way as a track on a multi-track tape deck. You may assign one track
to each
voice, each staff, each instrument or whatever you want.
2. Header Chunk
The header chunk appears at the beginning
of the file, and describes the
file in three ways. The header chunk always looks like:
4D 54 68 64 00 00 00 06 ff ff nn nn dd dd
The ascii equivalent of the first 4 bytes is MThd. After MThd comes
the 4-byte
size of the header. This will always be 00 00 00 06, because the actual
header
information will always be 6 bytes.
ff ff is the file format. There are 3 formats:
0 - single-track
1 - multiple tracks, synchronous
2 - multiple tracks, asynchronous
Single track is fairly self-explanatory - one track only. Synchronous
multiple
tracks means that the tracks will all be vertically synchronous, or
in other
words, they all start at the same time, and so can represent different
parts
in one song. Asynchronous multiple tracks do not necessarily start
at the same
time, and can be completely asynchronous.
nn nn is the number of tracks in the midi file.
dd dd is the number of delta-time ticks per quarter note. (More about
this
later)
3. Track Chunks
The remainder of the file after the header chunk consists of track chunks.
Each track has one header and may contain as many midi commands as
you like.
The header for a track is very similar to the one for the file:
4D 54 72 6B xx xx xx xx
As with the header, the first 4 bytes has an ascii equivalent. This
one is
MTrk. The 4 bytes after MTrk give the length of the track (not including
the
track header) in bytes.
Following the header are midi events.
These events are identical to the
actual data sent and received by MIDI ports on a synth with one addition.
A
midi event is preceded by a delta-time. A delta time is the number
of ticks
after which the midi event is to be executed. The number of ticks per
quarter
note was defined previously in the file header chunk. This delta-time
is a
variable-length encoded value. This format, while confusing, allows
large
numbers to use as many bytes as they need, without requiring small
numbers to
waste bytes by filling with zeros. The number is converted into 7-bit
bytes,
and the most-significant bit of each byte is 1 except for the last
byte of the
number, which has a msb of 0. This allows the number to be read one
byte at a
time, and when you see a msb of 0, you know that it was the last (least
significant) byte of the number. According to the MIDI spec, the entire
delta-
time should be at most 4 bytes long.
Following the delta-time is a midi event.
Each midi event (except a
running midi event) has a command byte which will always have a msb
of 1 (the
value will be >= 128). A list of most of these commands is in appendix
A. Each
command has different parameters and lengths, but the data that follows
the
command will have a msb of 0 (less than 128). The exception to this
is a meta-
event, which may contain data with a msb of 1. However, meta-events
require a
length parameter which alleviates confusion.
One subtlety which can cause confusion
is running mode. This is where
the actual midi command is omitted, and the last midi command issued
is
assumed. This means that the midi event will consist of a delta-time
and the
parameters that would go to the command if it were included.
4. Conclusion
If this explanation has only served to
confuse the issue more, the
appendices contain examples which may help clarify the issue. Also,
2
utilities and a graphic file should have been included with this document:
DEC.EXE - This utility converts a binary file (like .MID) to a tab-delimited
text file containing the decimal equivalents of each byte.
REC.EXE - This utility converts a tab-delimited text file of decimal
values
into a binary file in which each byte corresponds to one of the decimal
values.
MIDINOTE.PS - This is the postscript form of a page showing note numbers
with
a keyboard and with the standard grand staff.
Appendix A
1. MIDI Event Commands
Each command byte has 2 parts. The left nybble (4 bits) contains the
actual
command, and the right nybble contains the midi channel number on which
the
command will be executed. There are 16 midi channels, and 8 midi commands
(the
command nybble must have a msb of 1).
In the following table, x indicates the midi channel number. Note that
all
data bytes will be <128 (msb set to 0).
Hex Binary
Data Description
8x 1000xxxx
nn vv Note off (key is
released)
nn=note number
vv=velocity
9x 1001xxxx
nn vv Note on (key is pressed)
nn=note number
vv=velocity
Ax 1010xxxx
nn vv Key after-touch
nn=note number
vv=velocity
Bx 1011xxxx
cc vv Control Change
cc=controller number
vv=new value
Cx 1100xxxx
pp Program
(patch) change
pp=new program number
Dx 1101xxxx
cc Channel
after-touch
cc=channel number
Ex 1110xxxx
bb tt Pitch wheel change
(2000H is normal or no
change)
bb=bottom (least sig) 7 bits of value
tt=top (most sig) 7 bits of value
The following table lists meta-events which have no midi channel number.
They
are of the format:
FF xx nn dd
All meta-events start with FF followed by the command (xx), the length,
or
number of bytes that will contain data (nn), and the actual data (dd).
Hex Binary
Data Description
00 00000000
nn ssss Sets the track's sequence number.
nn=02 (length of 2-byte sequence number)
ssss=sequence number
01 00000001
nn tt .. Text event- any text you want.
nn=length in bytes of text
tt=text characters
02 00000010
nn tt .. Same as text event, but used for
copyright info.
nn tt=same as text event
03 00000011
nn tt .. Sequence or Track name
nn tt=same as text event
04 00000100
nn tt .. Track instrument name
nn tt=same as text event
05 00000101
nn tt .. Lyric
nn tt=same as text event
06 00000110
nn tt .. Marker
nn tt=same as text event
07 00000111
nn tt .. Cue point
nn tt=same as text event
2F 00101111
00 This
event must come at the end of each
track
51 01010001
03 tttttt Set tempo
tttttt=microseconds/quarter note
58 01011000
04 nn dd ccbb Time Signature
nn=numerator of time sig.
dd=denominator of time sig. 2=quarter
3=eighth, etc.
cc=number of ticks in metronome click
bb=number of 32nd notes to the quarter
note
59 01011001
02 sf mi Key signature
sf=sharps/flats (-7=7 flats, 0=key of C,
7=7 sharps)
mi=major/minor (0=major, 1=minor)
7F 01111111
xx dd .. Sequencer specific information
xx=number of bytes to be sent
dd=data
The following table lists system messages which control the entire system.
These have no midi channel number. (these will generally only apply
to
controlling a midi keyboard, etc.)
Hex Binary
Data Description
F8 11111000
Timing clock used when synchronization is
required.
FA 11111010 Start current sequence
FB 11111011
Continue a stopped sequence where left
off
FC 11111100
Stop a sequence
The following table lists the numbers corresponding to notes for use
in note
on and note off commands.
Octave||
Note Numbers
# ||
|| C | C# | D
| D# | E | F | F# | G |
G# | A | A# | B
-----------------------------------------------------------------------------
0 || 0 | 1 |
2 | 3 | 4 | 5 | 6 |
7 | 8 | 9 | 10 | 11
1 || 12 | 13 | 14 | 15 |
16 | 17 | 18 | 19 | 20 | 21 | 22 |
23
2 || 24 | 25 | 26 | 27 |
28 | 29 | 30 | 31 | 32 | 33 | 34 |
35
3 || 36 | 37 | 38 | 39 |
40 | 41 | 42 | 43 | 44 | 45 | 46 |
47
4 || 48 | 49 | 50 | 51 |
52 | 53 | 54 | 55 | 56 | 57 | 58 |
59
5 || 60 | 61 | 62 | 63 |
64 | 65 | 66 | 67 | 68 | 69 | 70 |
71
6 || 72 | 73 | 74 | 75 |
76 | 77 | 78 | 79 | 80 | 81 | 82 |
83
7 || 84 | 85 | 86 | 87 |
88 | 89 | 90 | 91 | 92 | 93 | 94 |
95
8 || 96 | 97 | 98 | 99 |
100 | 101 | 102 | 103 | 104 | 105 | 106 | 107
9 || 108 | 109 | 110 | 111 | 112 | 113 | 114 | 115
| 116 | 117 | 118 | 119
10 || 120 | 121 | 122 | 123 | 124 | 125 | 126 | 127 |
BIBLIOGRAPHY
"MIDI Systems and Control" Francis Rumsey 1990 Focal Press
"MIDI and Sound Book for the Atari ST" Bernd Enders and Wolfgang
Klemme
1989 M&T
Publishing, Inc.
MIDI file specs and general MIDI specs were also obtained by
sending e-mail
to [email protected]
with the phrase GET MIDISPEC PACKAGE
in the message.
------------------------------- DEC.CPP ------------------------------------
/* file dec.cpp
by Dustin Caldwell ([email protected])
*/
#include <dos.h>
#include <stdio.h>
#include <stdlib.h>
void helpdoc();
main()
{
FILE *fp;
unsigned char ch, c;
if((fp=fopen(_argv[1], "rb"))==NULL)
/* open file to read */
{
printf("cannot open file %s\n",_argv[1]);
helpdoc();
exit(-1);
}
c=0;
ch=fgetc(fp);
while(!feof(fp))
/* loop for whole file */
{
printf("%u\t", ch);
/* print every byte's decimal equiv. */
c++;
if(c>8)
/* print 8 numbers to a line */
{
c=0;
printf("\n");
}
ch=fgetc(fp);
}
fclose(fp);
/* close up */
}
void helpdoc()
/* print help message */
{
printf("\n Binary
File Decoder\n\n");
printf("\n Syntax: dec binary_file_name\n\n");
printf("by Dustin Caldwell
([email protected])\n\n");
printf("This is a filter
program that reads a binary file\n");
printf("and prints the decimal
equivalent of each byte\n");
printf("tab-separated. This
is mostly useful when piped \n");
printf("into another file
to be edited manually. eg:\n\n");
printf("c:\>dec sonata3.mid
> son3.txt\n\n");
printf("This will create
a file called son3.txt which can\n");
printf("be edited with any
ascii editor. \n\n");
printf("(rec.exe may also
be useful, as it reencodes the \n");
printf("ascii text file).\n\n");
printf("Have Fun!!\n");
}
---------------------------- REC.CPP ----------------------------------
/* File rec.cpp
by Dustin Caldwell
([email protected])
*/
#include <dos.h>
#include <stdio.h>
#include <ctype.h>
#include <stdlib.h>
void helpdoc();
main()
{
FILE *rfp, *wfp;
unsigned char ch, c;
char s[20];
if((rfp=fopen(_argv[1], "r"))==NULL)
/* open the read file */
{
printf("cannot open file %s \n",_argv[1]);
helpdoc();
exit(-1);
}
if((wfp=fopen(_argv[2], "wb"))==NULL)
/* open the write file */
{
printf("cannot open file %s \n",_argv[1]);
helpdoc();
exit(-1);
}
c=0;
ch=fgetc(rfp);
while(!feof(rfp))
/* loop for whole file */
{
if(isalnum(ch))
/* only 'see' valid ascii chars */
{
c=0;
while(isdigit(ch)) /* only use decimal digits
(0-9) */
{
s[c]=ch; /* build a string containing
the number */
c++;
ch=fgetc(rfp);
}
s[c]=NULL;
/* must have NULL terminator */
fputc(atoi(s), wfp);/* write the binary equivalent to file */
}
ch=fgetc(rfp);
/* loop until next number starts */
}
fclose(rfp);
/* close up */
fclose(wfp);
}
void helpdoc()
/* print help message */
{
printf("\n Text
File Encoder\n\n");
printf("\n Syntax: rec text_file_name binary_file_name\n\n");
printf("by Dustin Caldwell
([email protected])\n\n");
printf("This is a program
that reads an ascii tab-\n");
printf("delimited file and
builds a binary file where\n");
printf("each byte of the
binary file is one of the decimal\n");
printf("digits in the text
file.\n");
printf(" eg:\n\n");
printf("c:\>rec son3.txt
son3.mid\n\n");
printf("(This will create
a file called son3.mid which is\n");
printf("a valid binary file)\n\n");
printf("(dec.exe may also
be useful, as it decodes binary files)\n\n");
printf("Have Fun!!\n");
}
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0 13200 10200 _ornt
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_bp /NewCenturySchlbk-RomanR 500 _ff
0 13200 10200 _ornt
/_r { sflg {/_t {0 rmoveto}bdef /ron
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{ /_S /show load def
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100 _t
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100 _t
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100 _t
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100 _t
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100 _t
100 _t
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(|)_S 1200 5113 _m
100 _t
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100 _t
100 _t
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100 _t
100 _t
100 _t
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100 _t
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100 _t
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100 _t
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100 _t
100 _t
100 _t
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100 _t
100 _t
100 _t
100 _t
100 _t
100 _t
100 _t
(BIBLIOGRAPHY)_S 1200 4779 _m
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100 _t
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100 _t
100 _t
("MIDI)_S 100 _t
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(Wolfgang)_S 100 _t
(Klemme)_S 2109 4278 _m
100 _t
(1989)_S 100 _t
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100 _t
100 _t
(MIDI)_S 100 _t
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100 _t
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100 _t
100 _t
_ep
_ed end end
%-12345X
---------------------------- MIDINOTE.PS ----------------------------------
%!PS-Adobe-3.0 EPSF-2.0
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%%Title: KEYS.CDR from CorelDRAW!
%%BoundingBox: 19 17 594 776
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%%DocumentSuppliedResources: (atend)
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%%BeginResource: procset Win35Dict 3 1
/Win35Dict 60 dict def Win35Dict begin/bd{bind def}bind def/in{72
mul}bd/ed{exch def}bd/ld{load def}bd/tr/translate ld/gs/gsave ld/gr
/grestore ld/fPP false def/SS{fPP{/SV save def}{gs}ifelse}bd/RS{fPP{SV
restore}{gr}ifelse}bd/EJ{gsave showpage grestore}bd/#C{userdict begin
/#copies ed end}bd/FEbuf 2 string def/FEglyph(G )def/FE{1 exch{dup
16 FEbuf cvrs FEglyph exch 1 exch putinterval 1 index exch FEglyph
cvn put}for}bd/SM{/iRes ed/cyP ed/cxPg ed/cyM ed/cxM ed 0 ne{0 cyP
72 mul 100 div tr -90 rotate}if pop}bd/CB{moveto/dy ed/dx ed dx 0 rlineto
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%%EndResource
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%%EndProlog
%%BeginSetup
Win35Dict begin
%%EndSetup
SS
0 0 26 22 799 1100 300 SM
2397 3162 0 0 CB
%%BeginSetup
/AutoFlatness false def
% Options: Emulsion Up
% Options: Print Positive Output
/SepsColor false def
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%%EndSetup
%%BeginProlog
%%BeginResource: procset wCorel4Dict
%Copyright (c)1992, 1993 Corel Corporation. All rights reserved.
v4.00.00
/wCorel4Dict 300 dict def wCorel4Dict begin
/bd{bind def}bind def/ld{load def}bd/xd{exch def}bd
/_ null def/rp{{pop}repeat}bd/@cp/closepath ld
/@gs/gsave ld/@gr/grestore ld/@np/newpath ld
/Tl/translate ld/$sv 0 def/@sv{/$sv save def}bd
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currentscreen/@dsp xd/$dsp/@dsp def/$dsa xd
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/SetScr/setscreen ld/setscreen{3 rp}bd/@ss{2 index 0 eq{$dsf 3 1 roll
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/$c 0 def/$m 0 def/$y 0 def/$k 0 def/$t 1 def
/$n _ def/$o 0 def/$fil 0 def/$C 0 def/$M 0 def
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/CurrentInkName (Composite) def/$ink -1 def
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/$fst 128 def/$pad 0 def/$rox 0 def/$roy 0 def
/CorelDrawReencodeVect [ 16#0/grave 16#5/breve 16#6/dotaccent 16#8/ring
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16#9F/Ydieresis 16#A1/exclamdown/cent/sterling/currency/yen/brokenbar/section
16#a8/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/minus/registered/macron
16#b0/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph/periodcentered
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16#c0/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla
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16#f0/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide
16#f8/oslash/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis
] def AutoFlatness{/@ifl{dup currentflat exch sub 10 gt{
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/eoclip{currentflat{{@eoclip}stopped{@ifl}{exit}ifelse}bind loop
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$ty exch sub 0 1 $tlx 1 sub{$pwid mul 3 copy
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0 1 $tlx 1 sub{dup $pwid mul $tx add exch $psy mul $ty exch sub{
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/$tlly xd/$tllx xd/$wid $turx $tllx sub def
/$hei $tury $tlly sub def @gs $vectpat{1 0 0 0 0 _ $o @scc{eofill}if}{
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$wid $hei scale <00> 8 1 false [ 8 0 0 1 0 0 ]{}imagemask}{
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132.41 108.65 187.27 116.86 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 108.65 m
132.41 116.86 L
187.27 116.86 L
187.27 108.65 L
132.41 108.65 L
@c
S
@rax %%Note: Object
132.41 105.91 168.05 111.38 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 105.91 m
132.41 111.38 L
168.05 111.38 L
168.05 105.91 L
132.41 105.91 L
@c
B
@rax %%Note: Object
132.41 155.23 168.05 160.70 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 155.23 m
132.41 160.70 L
168.05 160.70 L
168.05 155.23 L
132.41 155.23 L
@c
B
@rax %%Note: Object
132.41 196.34 168.05 201.82 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 196.34 m
132.41 201.82 L
168.05 201.82 L
168.05 196.34 L
132.41 196.34 L
@c
B
@rax %%Note: Object
132.41 188.14 168.05 193.61 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 188.14 m
132.41 193.61 L
168.05 193.61 L
168.05 188.14 L
132.41 188.14 L
@c
B
@rax %%Note: Object
132.41 179.86 168.05 185.40 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 179.86 m
132.41 185.40 L
168.05 185.40 L
168.05 179.86 L
132.41 179.86 L
@c
B
@rax %%Note: Object
132.41 149.69 187.27 157.97 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 149.69 m
132.41 157.97 L
187.27 157.97 L
187.27 149.69 L
132.41 149.69 L
@c
S
@rax %%Note: Object
132.41 199.08 187.27 207.29 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 199.08 m
132.41 207.29 L
187.27 207.29 L
187.27 199.08 L
132.41 199.08 L
@c
S
@rax %%Note: Object
132.41 190.87 187.27 199.08 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 190.87 m
132.41 199.08 L
187.27 199.08 L
187.27 190.87 L
132.41 190.87 L
@c
S
@rax %%Note: Object
132.41 182.66 187.27 190.87 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 182.66 m
132.41 190.87 L
187.27 190.87 L
187.27 182.66 L
132.41 182.66 L
@c
S
@rax %%Note: Object
132.41 157.97 187.27 166.18 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 157.97 m
132.41 166.18 L
187.27 166.18 L
187.27 157.97 L
132.41 157.97 L
@c
S
@rax %%Note: Object
132.41 174.38 187.27 182.66 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 174.38 m
132.41 182.66 L
187.27 182.66 L
187.27 174.38 L
132.41 174.38 L
@c
S
@rax %%Note: Object
132.41 166.18 187.27 174.38 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 166.18 m
132.41 174.38 L
187.27 174.38 L
187.27 166.18 L
132.41 166.18 L
@c
S
@rax %%Note: Object
132.41 163.44 168.05 168.91 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 163.44 m
132.41 168.91 L
168.05 168.91 L
168.05 163.44 L
132.41 163.44 L
@c
B
@rax %%Note: Object
132.34 673.56 167.98 679.03 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.34 673.56 m
132.34 679.03 L
167.98 679.03 L
167.98 673.56 L
132.34 673.56 L
@c
B
@rax %%Note: Object
132.34 698.26 167.98 703.73 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.34 698.26 m
132.34 703.73 L
167.98 703.73 L
167.98 698.26 L
132.34 698.26 L
@c
B
@rax %%Note: Object
132.34 668.09 187.20 676.30 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.34 668.09 m
132.34 676.30 L
187.20 676.30 L
187.20 668.09 L
132.34 668.09 L
@c
S
@rax %%Note: Object
132.34 676.30 187.20 684.50 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.34 676.30 m
132.34 684.50 L
187.20 684.50 L
187.20 676.30 L
132.34 676.30 L
@c
S
@rax %%Note: Object
132.34 692.78 187.20 700.99 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.34 692.78 m
132.34 700.99 L
187.20 700.99 L
187.20 692.78 L
132.34 692.78 L
@c
S
@rax %%Note: Object
132.34 684.58 187.20 692.78 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.34 684.58 m
132.34 692.78 L
187.20 692.78 L
187.20 684.58 L
132.34 684.58 L
@c
S
@rax %%Note: Object
132.34 681.77 167.98 687.24 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.34 681.77 m
132.34 687.24 L
167.98 687.24 L
167.98 681.77 L
132.34 681.77 L
@c
B
@rax %%Note: Object
132.41 500.90 168.05 506.38 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 500.90 m
132.41 506.38 L
168.05 506.38 L
168.05 500.90 L
132.41 500.90 L
@c
B
@rax %%Note: Object
132.41 542.02 168.05 547.49 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 542.02 m
132.41 547.49 L
168.05 547.49 L
168.05 542.02 L
132.41 542.02 L
@c
B
@rax %%Note: Object
132.41 533.81 168.05 539.28 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 533.81 m
132.41 539.28 L
168.05 539.28 L
168.05 533.81 L
132.41 533.81 L
@c
B
@rax %%Note: Object
132.41 525.53 168.05 531.07 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 525.53 m
132.41 531.07 L
168.05 531.07 L
168.05 525.53 L
132.41 525.53 L
@c
B
@rax %%Note: Object
132.41 495.36 187.27 503.64 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 495.36 m
132.41 503.64 L
187.27 503.64 L
187.27 495.36 L
132.41 495.36 L
@c
S
@rax %%Note: Object
132.41 544.75 187.27 552.96 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 544.75 m
132.41 552.96 L
187.27 552.96 L
187.27 544.75 L
132.41 544.75 L
@c
S
@rax %%Note: Object
132.41 536.54 187.27 544.75 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 536.54 m
132.41 544.75 L
187.27 544.75 L
187.27 536.54 L
132.41 536.54 L
@c
S
@rax %%Note: Object
132.41 528.34 187.27 536.54 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 528.34 m
132.41 536.54 L
187.27 536.54 L
187.27 528.34 L
132.41 528.34 L
@c
S
@rax %%Note: Object
132.41 503.64 187.27 511.85 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 503.64 m
132.41 511.85 L
187.27 511.85 L
187.27 503.64 L
132.41 503.64 L
@c
S
@rax %%Note: Object
132.41 520.06 187.27 528.34 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 520.06 m
132.41 528.34 L
187.27 528.34 L
187.27 520.06 L
132.41 520.06 L
@c
S
@rax %%Note: Object
132.41 511.85 187.27 520.06 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 511.85 m
132.41 520.06 L
187.27 520.06 L
187.27 511.85 L
132.41 511.85 L
@c
S
@rax %%Note: Object
132.41 509.11 168.05 514.58 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 509.11 m
132.41 514.58 L
168.05 514.58 L
168.05 509.11 L
132.41 509.11 L
@c
B
@rax %%Note: Object
132.41 558.50 168.05 563.98 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 558.50 m
132.41 563.98 L
168.05 563.98 L
168.05 558.50 L
132.41 558.50 L
@c
B
@rax %%Note: Object
132.41 599.62 168.05 605.09 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 599.62 m
132.41 605.09 L
168.05 605.09 L
168.05 599.62 L
132.41 599.62 L
@c
B
@rax %%Note: Object
132.41 591.41 168.05 596.88 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 591.41 m
132.41 596.88 L
168.05 596.88 L
168.05 591.41 L
132.41 591.41 L
@c
B
@rax %%Note: Object
132.41 583.13 168.05 588.67 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 583.13 m
132.41 588.67 L
168.05 588.67 L
168.05 583.13 L
132.41 583.13 L
@c
B
@rax %%Note: Object
132.41 552.96 187.27 561.24 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 552.96 m
132.41 561.24 L
187.27 561.24 L
187.27 552.96 L
132.41 552.96 L
@c
S
@rax %%Note: Object
132.41 602.35 187.27 610.56 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 602.35 m
132.41 610.56 L
187.27 610.56 L
187.27 602.35 L
132.41 602.35 L
@c
S
@rax %%Note: Object
132.41 594.14 187.27 602.35 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 594.14 m
132.41 602.35 L
187.27 602.35 L
187.27 594.14 L
132.41 594.14 L
@c
S
@rax %%Note: Object
132.41 585.94 187.27 594.14 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 585.94 m
132.41 594.14 L
187.27 594.14 L
187.27 585.94 L
132.41 585.94 L
@c
S
@rax %%Note: Object
132.41 561.24 187.27 569.45 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 561.24 m
132.41 569.45 L
187.27 569.45 L
187.27 561.24 L
132.41 561.24 L
@c
S
@rax %%Note: Object
132.41 577.66 187.27 585.94 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 577.66 m
132.41 585.94 L
187.27 585.94 L
187.27 577.66 L
132.41 577.66 L
@c
S
@rax %%Note: Object
132.41 569.45 187.27 577.66 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 569.45 m
132.41 577.66 L
187.27 577.66 L
187.27 569.45 L
132.41 569.45 L
@c
S
@rax %%Note: Object
132.41 566.71 168.05 572.18 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 566.71 m
132.41 572.18 L
168.05 572.18 L
168.05 566.71 L
132.41 566.71 L
@c
B
@rax %%Note: Object
132.41 616.03 168.05 621.50 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 616.03 m
132.41 621.50 L
168.05 621.50 L
168.05 616.03 L
132.41 616.03 L
@c
B
@rax %%Note: Object
132.41 657.14 168.05 662.62 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 657.14 m
132.41 662.62 L
168.05 662.62 L
168.05 657.14 L
132.41 657.14 L
@c
B
@rax %%Note: Object
132.41 648.94 168.05 654.41 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 648.94 m
132.41 654.41 L
168.05 654.41 L
168.05 648.94 L
132.41 648.94 L
@c
B
@rax %%Note: Object
132.41 640.66 168.05 646.20 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 640.66 m
132.41 646.20 L
168.05 646.20 L
168.05 640.66 L
132.41 640.66 L
@c
B
@rax %%Note: Object
132.41 610.49 187.27 618.77 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 610.49 m
132.41 618.77 L
187.27 618.77 L
187.27 610.49 L
132.41 610.49 L
@c
S
@rax %%Note: Object
132.41 659.88 187.27 668.09 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 659.88 m
132.41 668.09 L
187.27 668.09 L
187.27 659.88 L
132.41 659.88 L
@c
S
@rax %%Note: Object
132.41 651.67 187.27 659.88 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 651.67 m
132.41 659.88 L
187.27 659.88 L
187.27 651.67 L
132.41 651.67 L
@c
S
@rax %%Note: Object
132.41 643.46 187.27 651.67 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 643.46 m
132.41 651.67 L
187.27 651.67 L
187.27 643.46 L
132.41 643.46 L
@c
S
@rax %%Note: Object
132.41 618.77 187.27 626.98 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 618.77 m
132.41 626.98 L
187.27 626.98 L
187.27 618.77 L
132.41 618.77 L
@c
S
@rax %%Note: Object
132.41 635.18 187.27 643.46 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 635.18 m
132.41 643.46 L
187.27 643.46 L
187.27 635.18 L
132.41 635.18 L
@c
S
@rax %%Note: Object
132.41 626.98 187.27 635.18 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 626.98 m
132.41 635.18 L
187.27 635.18 L
187.27 626.98 L
132.41 626.98 L
@c
S
@rax %%Note: Object
132.41 624.24 168.05 629.71 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 624.24 m
132.41 629.71 L
168.05 629.71 L
168.05 624.24 L
132.41 624.24 L
@c
B
@rax %%Note: Object
132.41 385.63 168.05 391.10 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 385.63 m
132.41 391.10 L
168.05 391.10 L
168.05 385.63 L
132.41 385.63 L
@c
B
@rax %%Note: Object
132.41 426.74 168.05 432.22 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 426.74 m
132.41 432.22 L
168.05 432.22 L
168.05 426.74 L
132.41 426.74 L
@c
B
@rax %%Note: Object
132.41 418.54 168.05 424.01 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 418.54 m
132.41 424.01 L
168.05 424.01 L
168.05 418.54 L
132.41 418.54 L
@c
B
@rax %%Note: Object
132.41 410.26 168.05 415.80 @E
0 O 0 @g
1.00 1.00 1.00 0.21 k
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 410.26 m
132.41 415.80 L
168.05 415.80 L
168.05 410.26 L
132.41 410.26 L
@c
B
@rax %%Note: Object
132.41 380.09 187.27 388.37 @E
0 J 0 j [] 0 d 0 R 0 @G
1.00 1.00 1.00 0.21 K
0 0.22 0.22 0.00 @w
132.41 380.09 m
132.41 388.37 L
187.27 388.37 L
187.27 380.09 L
132.41 380.09 L
@c
S
@rax %%Note: Object
132.41 429.48 187.27 437.69 @E
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326.02 619.27 m
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323.57 624.10 m
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334.87 590.47 331.49 595.58 331.34 599.76 C
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336.53 595.30 m
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@c
B
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431.86 720.00 L
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460.66 720.00 L
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@c
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@c
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@c
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@c
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[0.00001 0.07199 -0.07199 0.00001 356.39999 540.00000] @tm
0 O 0 @g
1.00 1.00 1.00 0.21 k
e
/_R1-Helvetica 167.00 z
0 0 (72) @t
T
@rax 333.36 576.00 342.07 588.82 @E
[0.00001 0.07199 -0.07199 0.00001 342.00000 576.00000] @tm
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/_R1-Helvetica 167.00 z
0 0 (76) @t
T
@rax 318.96 604.80 327.67 617.62 @E
[0.00001 0.07199 -0.07199 0.00001 327.59998 604.79999] @tm
0 O 0 @g
1.00 1.00 1.00 0.21 k
e
/_R1-Helvetica 167.00 z
0 0 (79) @t
T
@rax 304.56 640.80 313.27 653.62 @E
[0.00001 0.07199 -0.07199 0.00001 313.19998 640.79999] @tm
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e
/_R1-Helvetica 167.00 z
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T
@rax 290.16 676.80 298.87 689.62 @E
[0.00001 0.07199 -0.07199 0.00001 298.79999 676.79999] @tm
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/_R1-Helvetica 167.00 z
0 0 (86) @t
T
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@rs @rs
/$ctm matrix currentmatrix def
%EndTile
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@rs
@rs
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%%DocumentFonts: Helvetica
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EJ RS
%%PageTrailer
2397 3162 0 0 CB
%%Trailer
SVDoc restore
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%%DocumentSuppliedResources: procset Win35Dict 3 1
%%DocumentNeededResources:
%%EOF