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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