# Note Frequencies (for a school project)

Discussion in 'Miscellaneous [BG]' started by scorpionldr, Mar 24, 2005.

1. ### scorpionldr

Dec 10, 2002
Dirty Jersey, USA
i'm trying to get a chart of note frequencies, from the very bottum of the range of any instrument, to the very top. example, low b=31hz e=41hz. it's important that i find this out cuz i am planning on including this on a term paper i am writing for a class called "number systems." i have to find exactly how much numerical content is in music

2. ### Hollow ManSupporting Member

Apr 28, 2003
Springfield, VA
There is an equation you can use that will solve for the frequency of any note on a fretboard, provided you know the frequency of just one note. This is assuming that the frequency you're looking for is higher than that of the note that you already know. That equation is:

new frequency = (known frequency) * 2^(n/12)

where n is the number of half-steps higher that the new note is than the old note.

Example: I always use the open A on a bass as my reference frequency. It's 55 Hz. Let's say I want to know the frequency of the E on the seventh fret of that string.

frequency of E (seventh fret) = (55 Hz) * 2^(7/12), or 82.4 Hz.

Now, if you want to find the frequency of a note that's lower than your reference note, just halve the reference note, which brings you down an octave. So if you know the open A on a bass and want to find the G that's a whole step below it, simply halve the A note's frequency (55 Hz to 27.5 Hz), and reapply the formula with your new reference frequency and your new half-step value (which is now 10, because the G is 10 half-steps above the 27.5 Hz A note).

Happy calculating!

3. ### nicoli

Apr 4, 2002
In addition, once you get the fundamental for each of the 12 notes figured out, you can just double it to get the octave. Double again for the next octave, etc.

As far as I know, this is right.

Note Frequency (Hz)
A 27.50
A# 29.14
B 30.87
C1 32.70
C# 34.65
D 36.71
D# 38.89
E 41.20
F 43.65
F# 46.25
G 49.00
G# 51.91
A 55.00
A# 58.27
B 61.74
C 65.41
C# 69.30
D 73.42
D# 77.78
E 82.41
F 87.31
F# 92.50
G 98.00
G# 103.83
A 110.00
A# 116.54
B 123.47
C 130.81
C# 138.59
D 146.83
D# 155.56
E 164.81
F 174.61
F# 185.00
G 196.00
G# 207.65
A 220.00
A# 233.08
B 246.94
Middle C 261.63
C# 277.18
D 293.66
D# 311.13
E 329.63F 349.23
F# 369.99
G 392.00
G# 415.30
A 440.00
A# 466.16
B 493.88
C 523.25
C# 554.37
D 587.33
D# 622.25
E 659.26
F 698.46
F# 739.99
G 783.99
G# 830.61
A 880.00
A# 932.33
B 987.77
C 1046.50
C# 1108.73
D 1174.66
D# 1244.51
E 1318.51
F 1396.91
F# 1479.98
G 1567.98
G# 1661.22
A 1760.00
A# 1864.66
B 1975.53
C 2093.00
C# 2217.46
D 2349.32
D# 2489.02
E 2637.02
F 2793.83
F# 2959.96
G 3135.96
G# 3322.44
A 3520.00
A# 3729.31
B 3951.07
C 4186.01

Sorry if this is rediculous long.

Aug 8, 2004
austr-
6. ### mattmcnewf

May 27, 2004
thats seems to be really off. I never knew that a guitar was on a leddger line of the bass clef. Also bass is shown to got a ocatve lower than it normally does

7. ### ThorModeratorStaff MemberGold Supporting Member

Good point.

See here http://www.bluesblast.com/frequency.txt

I quote:

'The pitch of a note is almost entirely determined by the
frequency: high frequency for high pitch and low for low. For
example, 110 vibrations per second (110 Hz) is the frequency
of vibration of the A string on a guitar. The A above that
(second fret on the G string) is 220 Hz. The next A (5th fret
on top E string) is 440 Hz, which is the orchestral tuning A.

(The guitar A string plays the A normally written at the bottom of the bass clef. In guitar music, however, it is normally written an octave higher.) We can hear sounds from about 15 Hz to 20 kHz (1 kHz = 1000 Hz). The lowest
note on the standard guitar is E at about 83 Hz, but a
bass guitar can play down to 41 Hz. [(sic) - we know that is
not a correct generalization] The orginary guitar can play notes with fundamental frequencies above 1 kHz. Human ears
are most sensitive to sounds between 1 and 4 kHz - about
two to four octaves above middle C. Although the
fundamental frequency of the guitar notes do not usually go
up into this range, the instrument does output acoustic
power in this range, in the higher harmonics of the most of its
notes. '

See here for a general discussion

But specifically see here for Even Tempered frequencies

I should bookmark that, it comes up all the time ...