MIDI note number, pitch name, and the corresponding frequency

The following table summarizes the MIDI note numbers as defined in the MIDI standard and matched to the Middle C (note number 60) as C4.

What is the formula for note frequency?

$Freq = note \times 2 N/12$

where N is the number of notes away from the start in connecting the MIDI note number and the base frequency – assuming equal tuning based on

$A4=a’=440 Hz$ – is:

$f = 440 \cdot 2^{\left(\right. n – 69 \left.\right) / 12}$

Formula Breakdown

f: The frequency (in Hertz, Hz) of the note you want to find.
f₀: The frequency of your known reference note (e.g., A4 = 440 Hz).
n: The number of semitones (half steps) the target note is above (positive) or below (negative) the reference note.
2^(n/12): This part calculates the ratio. Going up 12 semitones (an octave) gives you 2^(12/12) = 2, doubling the frequency.

Example: Finding the frequency of A#4 (A sharp in the 4th octave)

Reference: A4 = 440 Hz (f₀).
Distance: A#4 is 1 semitone above A4, so n = 1.
Calculation: f = 440 Hz * (2^(1/12)) ≈ 466.16 Hz.

Example: Finding the frequency of C5 (Middle C an octave up)

Reference: A4 = 440 Hz (f₀).
Distance: C5 is 3 semitones above A4 (A4 -> A#4 -> B4 -> C5), so n = 3.
Calculation: f = 440 Hz * (2^(3/12)) ≈ 523.25 Hz.

MIDI note number	Key number (Organ)	Key number (Piano)	Note names (English)	Frequency (Equal tuning at 440 Hz)
top of MIDI tuning range			G#9/Ab9	13289.75
127			G9	12543.85
126			F#9/Gb9	11839.82
125			F9	11175.30
124			E9	10548.08
123			D#9/Eb9	9956.06
122			D9	9397.27
121			C#9/Db9	8869.84
120			C9	8372.02
119			B8	7902.13
118			A#8/Bb8	7458.62
117			A8	7040.00
116			G#8/Ab8	6644.88
115			G8	6271.93
114			F#8/Gb8	5919.91
113			F8	5587.65
112			E8	5274.04
111			D#8/Eb8	4978.03
110			D8	4698.64
109			C#8/Db8	4434.92
108		88	C8	4186.01
107		87	B7	3951.07
106		86	A#7/Bb7	3729.31
105		85	A7	3520.00
104		84	G#7/Ab7	3322.44
103		83	G7	3135.96
102		82	F#7/Gb7	2959.96
101		81	F7	2793.83
100		80	E7	2637.02
99		79	D#7/Eb7	2489.02
98		78	D7	2349.32
97		77	C#7/Db7	2217.46
96	61	76	C7	2093.00
95	60	75	B6	1975.53
94	59	74	A#6/Bb6	1864.66
93	58	73	A6	1760.00
92	57	72	G#6/Ab6	1661.22
91	56	71	G6	1567.98
90	55	70	F#6/Gb6	1479.98
89	54	69	F6	1396.91
88	53	68	E6	1318.51
87	52	67	D#6/Eb6	1244.51
86	51	66	D6	1174.66
85	50	65	C#6/Db6	1108.73
84	49	64	C6	1046.50
83	48	63	B5	987.77
82	47	62	A#5/Bb5	932.33
81	46	61	A5	880.00
80	45	60	G#5/Ab5	830.61
79	44	59	G5	783.99
78	43	58	F#5/Gb5	739.99
77	42	57	F5	698.46
76	41	56	E5	659.26
75	40	55	D#5/Eb5	622.25
74	39	54	D5	587.33
73	38	53	C#5/Db5	554.37
72	37	52	C5	523.25
71	36	51	B4	493.88
70	35	50	A#4/Bb4	466.16
69	34	49	A4 concert pitch	440.00
68	33	48	G#4/Ab4	415.30
67	32	47	G4	392.00
66	31	46	F#4/Gb4	369.99
65	30	45	F4	349.23
64	29	44	E4	329.63
63	28	43	D#4/Eb4	311.13
62	27	42	D4	293.66
61	26	41	C#4/Db4	277.18
60	25	40	C4 (middle C)	261.63
59	24	39	B3	246.94
58	23	38	A#3/Bb3	233.08
57	22	37	A3	220.00
56	21	36	G#3/Ab3	207.65
55	20	35	G3	196.00
54	19	34	F#3/Gb3	185.00
53	18	33	F3	174.61
52	17	32	E3	164.81
51	16	31	D#3/Eb3	155.56
50	15	30	D3	146.83
49	14	29	C#3/Db3	138.59
48	13	28	C3	130.81
47	12	27	B2	123.47
46	11	26	A#2/Bb2	116.54
45	10	25	A2	110.00
44	9	24	G#2/Ab2	103.83
43	8	23	G2	98.00
42	7	22	F#2/Gb2	92.50
41	6	21	F2	87.31
40	5	20	E2	82.41
39	4	19	D#2/Eb2	77.78
38	3	18	D2	73.42
37	2	17	C#2/Db2	69.30
36	1	16	C2	65.41
35		15	B1	61.74
34		14	A#1/Bb1	58.27
33		13	A1	55.00
32		12	G#1/Ab1	51.91
31		11	G1	49.00
30		10	F#1/Gb1	46.25
29		9	F1	43.65
28		8	E1	41.20
27		7	D#1/Eb1	38.89
26		6	D1	36.71
25		5	C#1/Db1	34.65
24		4	C1	32.70
23		3	B0	30.87
22		2	A#0/Bb0	29.14
21		1	A0	27.50
20				25.96
19				24.50
18				23.12
17				21.83
16				20.60
15				19.45
14				18.35
13				17.32
12				16.35
11				15.43
10				14.57
9				13.75
8				12.98
7				12.25
6				11.56
5				10.91
4				10.30
3				9.72
2				9.18
1				8.66
0				8.18

Note that some manufacturers label middle C as C3.

CategoryMIDI Music Technology

Tagsfrequency midi pitch