Music - Even tempered scale - Frequencies and MIDI note numbers


note octave frequency midi note number
C natural 1 32 24
C sharp 1 34 25
D natural 1 36 26
D sharp 1 39 27
E natural 1 41 28
F natural 1 43 29
F sharp 1 46 30
G natural 1 49 31
G sharp 1 52 32
A natural 1 55 33
A sharp 1 59 34
B natural 1 62 35
C natural 2 65 36
C sharp 2 69 37
D natural 2 73 38
D sharp 2 78 39
E natural 2 82 40
F natural 2 87 41
F sharp 2 93 42
G natural 2 98 43
G sharp 2 104 44
A natural 2 110 45
A sharp 2 117 46
B natural 2 124 47
C natural 3 131 48
C sharp 3 139 49
D natural 3 147 50
D sharp 3 156 51
E natural 3 165 52
F natural 3 175 53
F sharp 3 185 54
G natural 3 196 55
G sharp 3 208 56
A natural 3 220 57
A sharp 3 233 58
B natural 3 247 59
C natural 4 262 60 middle
C sharp 4 277 61
D natural 4 294 62
D sharp 4 311 63
E natural 4 330 64
F natural 4 349 65
F sharp 4 370 66
G natural 4 392 67
G sharp 4 415 68
A natural 4 440 69
A sharp 4 466 70
B natural 4 494 71
C natural 5 523 72
C sharp 5 554 73
D natural 5 587 74
D sharp 5 622 75
E natural 5 659 76
F natural 5 698 77
F sharp 5 740 78
G natural 5 784 79
G sharp 5 831 80
A natural 5 880 81
A sharp 5 932 82
B natural 5 988 83
C natural 6 1047 84
C sharp 6 1109 85
D natural 6 1175 86
D sharp 6 1245 87
E natural 6 1318 88
F natural 6 1397 89
F sharp 6 1480 90
G natural 6 1568 91
G sharp 6 1661 92
A natural 6 1760 93
A sharp 6 1865 94
B natural 6 1976 95
C natural 7 2093 96
C sharp 7 2218 97
D natural 7 2350 98
D sharp 7 2489 99
E natural 7 2637 100
F natural 7 2794 101
F sharp 7 2960 102
G natural 7 3136 103
G sharp 7 3323 104
A natural 7 3520 105
A sharp 7 3729 106
B natural 7 3951 107
C natural 8 4186 108

2.2 Even tempered scale

What is important in music is the relationship between the musical notes.

In order to be able to play in any key, on a keyboard instrument it is necessary to alter these frequencies slightly to form a logarithmic scale.

The ratio of the frequencies of the notes of a major scale is as follows:

--\ major key degree of the scale

| C --------------------------- ?----\

--| 15:16 |

| B ----------------------?---- leading |

H-| 8:9 | | *

| A -------------------?--|---- submediant ?--|

H-| 9:10 | | | *

| G ----------------?--|--|---- dominant ?--|-\

H-| 8:9 | | | | | *

| F -------------?--|--|-8:15-- subdominant ?--/ |

--| 15:16 | | 3:5 | |

| E ----------?--|-2:3-|--|---- medient ?----|

H-| 9:10 | 3:4 | | | | *

| D ---------4:5-|--|--|--|---- supertonic |

H-| 8:9 | | | | | | *

| C ----------?--?--?--?--?---- tonic ?----/

--/

 


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