Decimal and Hexadecimal Table

(An “H” is appended to the end of numbers in

hexadecimal notation.)

In MIDI documentation, data values and addresses/sizes of Exclusive messages, etc. are expressed as hexadecimal values for each 7 bits.

The following table shows how these correspond to decimal numbers.

+——————+——————++——————+——————++——————+——————++——————+——————+ D H D H D H D H +——————+——————++——————+——————++——————+——————++——————+——————+

0

00H

32

20H

64

40H

96

60H

1

01H

33

21H

65

41H

97

61H

2

02H

34

22H

66

42H

98

62H

3

03H

35

23H

67

43H

99

63H

4

04H

36

24H

68

44H

100

64H

5

05H

37

25H

69

45H

101

65H

6

06H

38

26H

70

46H

102

66H

7

07H

39

27H

71

47H

103

67H

8

08H

40

28H

72

48H

104

68H

9

09H

41

29H

73

49H

105

69H

10

0AH

42

2AH

74

4AH

106

6AH

11

0BH

43

2BH

75

4BH

107

6BH

12

0CH

44

2CH

76

4CH

108

6CH

13

0DH

45

2DH

77

4DH

109

6DH

14

0EH

46

2EH

78

4EH

110

6EH

15

0FH

47

2FH

79

4FH

111

6FH

16

10H

48

30H

80

50H

112

70H

17

11H

49

31H

81

51H

113

71H

18

12H

50

32H

82

52H

114

72H

19

13H

51

33H

83

53H

115

73H

20

14H

52

34H

84

54H

116

74H

21

15H

53

35H

85

55H

117

75H

22

16H

54

36H

86

56H

118

76H

23

17H

55

37H

87

57H

119

77H

24

18H

56

38H

88

58H

120

78H

25

19H

57

39H

89

59H

121

79H

26

1AH

58

3AH

90

5AH

122

7AH

27

1BH

59

3BH

91

5BH

123

7BH

28

1CH

60

3CH

92

5CH

124

7CH

29

1DH

61

3DH

93

5DH

125

7DH

30

1EH

62

3EH

94

5EH

126

7EH

31

1FH

63

3FH

95

5FH

127

7FH

+——————+——————++——————+——————++——————+——————++——————+——————+ D: decimal

H: hexadecimal

*Decimal values such as MIDI channel, bank select, and program change are listed as one greater than the values given in the above table.

*A 7-bit byte can express data in the range of 128 steps. For data where greater precision is required, we must use two or more bytes. For example, two hexadecimal numbers aa bbH expressing two 7-bit bytes would indicate a value of aa x 128+bb.

*In the case of values which have a +/- sign, 00H = -64, 40H = +/-0, and 7FH = +63, so that the decimal expression would be 64 less than the value given in the above chart. In the case of two types, 00 00H = -8192, 40 00H = +/-0, and 7F 7FH = +8191. For example, if aa bbH were expressed as decimal, this would be aa bbH - 40 00H = aa x 128+bb - 64 x 128.

*Data marked “Use nibbled data” is expressed in hexadecimal in 4-bit units. A value expressed as a 2-byte nibble 0a 0bH has the value of a x 16+b.

<Example 1> What is the decimal expression of 5AH?

From the preceding table, 5AH = 90

<Example 2> What is the decimal expression of the value 12 34H given as hexadecimal for each 7 bits?

From the preceding table, since 12H = 18 and 34H = 52

18 x 128+52 = 2356

<Example 3> What is the decimal expression of the nibbled value 0A 03 09 0D?

From the preceding table, since 0AH = 10, 03H = 3, 09H = 9, 0DH = 13

((10 x 16+3) x 16+9) x 16+13 = 41885

<Example 4> What is the nibbled expression of the decimal value 1258?

16 ) 1258

16 ) 78 ...10

16 ) 4 ...14

0 ... 4

Since from the preceding table, 0 = 00H, 4 = 04H, 14 = 0EH, 10 = 0AH, the result is: 00 04 0E 0AH.

MIDI Implementation

Examples of Actual MIDI Messages

<Example 1> 92 3E 5F

9n is the Note-on status, and n is the MIDI channel number. Since 2H = 2, 3EH = 62, and 5FH = 95, this is a Note-on message with MIDI CH = 3, note number 62 (note name is D4), and velocity 95.

<Example 2> CE 49

CnH is the Program Change status, and n is the MIDI channel number. Since EH = 14 and 49H = 73, this is a Program Change message with MIDI CH = 15, program number 74 (Flute in GS).

<Example 3> EA 00 28

EnH is the Pitch Bend Change status, and n is the MIDI channel number. The 2nd byte (00H

=0) is the LSB and the 3rd byte (28H = 40) is the MSB, but Pitch Bend Value is a signed number in which 40 00H (= 64 x 12+80 = 8192) is 0, so this Pitch Bend Value is

28 00H - 40 00H = 40 x 12+80 - (64 x 12+80) = 5120 - 8192 = -3072

If the Pitch Bend Sensitivity is set to 2 semitones, -8192 (00 00H) will cause the pitch to change -200 cents, so in this case -200 x (-3072) ÷ (-8192) = -75 cents of Pitch Bend is being applied to MIDI channel 11.

<Example 4> B3 64 00 65 00 06 0C 26 00 64 7F 65 7F

BnH is the Control Change status, and n is the MIDI channel number. For Control Changes, the 2nd byte is the control number, and the 3rd byte is the value. In a case in which two or more messages consecutive messages have the same status, MIDI has a provision called “running status” which allows the status byte of the second and following messages to be omitted. Thus, the above messages have the following meaning.

B3

64

00

MIDI ch.4, lower byte of RPN parameter number:

00H

(B3)

65

00

(MIDI ch.4) upper byte of RPN parameter number:

00H

(B3)

06

0C

(MIDI ch.4) upper byte of parameter value:

0CH

(B3)

26

00

(MIDI ch.4) lower byte of parameter value:

00H

(B3)

64

7F

(MIDI ch.4) lower byte of RPN parameter number:

7FH

(B3)

65

7F

(MIDI ch.4) upper byte of RPN parameter number:

7FH

In other words, the above messages specify a value of 0C 00H for RPN parameter number 00 00H on MIDI channel 4, and then set the RPN parameter number to 7F 7FH.

RPN parameter number 00 00H is Pitch Bend Sensitivity, and the MSB of the value indicates semitone units, so a value of 0CH = 12 sets the maximum pitch bend range to +/-12 semitones (1 octave). (On GS sound generators the LSB of Pitch Bend Sensitivity is ignored, but the LSB should be transmitted anyway (with a value of 0) so that operation will be correct on any device.)

Once the parameter number has been specified for RPN or NRPN, all Data Entry messages transmitted on that same channel will be valid, so after the desired value has been transmitted, it is a good idea to set the parameter number to 7F 7FH to prevent accidents. This is the reason for the (B3) 64 7F (B3) 65 7F at the end.

It is not desirable for performance data (such as Standard MIDI File data) to contain many events with running status as given in <Example 4>. This is because if playback is halted during the song and then rewound or fast-forwarded, the sequencer may not be able to transmit the correct status, and the sound generator will then misinterpret the data. Take care to give each event its own status.

It is also necessary that the RPN or NRPN parameter number setting and the value setting be done in the proper order. On some sequencers, events occurring in the same (or consecutive) clock may be transmitted in an order different than the order in which they were received. For this reason it is a good idea to slightly skew the time of each event (about 1 tick for TPQN = 96, and about 5 ticks for TPQN = 480).

*TPQN: Ticks Per Quarter Note

Appendices

293

Page 293
Image 293
Roland XV-88 owner manual 293, Examples of Actual Midi Messages