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pffreqs.txt
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pffreqs.txt
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ref. http://www.math.niu.edu/~rusin/uses-math/music/frequencieso
unfortunately this is just the 12th root of c trick.
Here are the frequencies for the 88 notes on a piano, assuming the
A above middle C has been tuned to a frequency of 440 Hz.
This is a very trivial table! Each one of the numbers here is
larger than the one before it by the same ratio (the twelfth root of 2,
which is 1.059463094359295264561825294946341700779204317494... .
Approximately.)
Note Frequency
A_ 27.500000000000000
A# 29.135235094880619
B_ 30.867706328507756
C_ 32.703195662574829
C# 34.647828872109012
D_ 36.708095989675945
D# 38.890872965260113
E_ 41.203444614108741
F_ 43.653528929125485
F# 46.249302838954299
G_ 48.999429497718661
G# 51.913087197493142
A_ 55.000000000000000
A# 58.270470189761239
B_ 61.735412657015513
C_ 65.406391325149658
C# 69.295657744218024
D_ 73.416191979351890
D# 77.781745930520227
E_ 82.406889228217482
F_ 87.307057858250971
F# 92.498605677908599
G_ 97.998858995437323
G# 103.826174394986284
A_ 110.000000000000000
A# 116.540940379522479
B_ 123.470825314031027
C_ 130.812782650299317
C# 138.591315488436048
D_ 146.832383958703780
D# 155.563491861040455
E_ 164.813778456434964
F_ 174.614115716501942
F# 184.997211355817199
G_ 195.997717990874647
G# 207.652348789972569
A_ 220.000000000000000
A# 233.081880759044958
B_ 246.941650628062055
C_ 261.625565300598634 This is "middle C"
C# 277.182630976872096
D_ 293.664767917407560
D# 311.126983722080910
E_ 329.627556912869929
F_ 349.228231433003884
F# 369.994422711634398
G_ 391.995435981749294
G# 415.304697579945138
A_ 440.000000000000000
A# 466.163761518089916
B_ 493.883301256124111
C_ 523.251130601197269
C# 554.365261953744192
D_ 587.329535834815120
D# 622.253967444161821
E_ 659.255113825739859
F_ 698.456462866007768
F# 739.988845423268797
G_ 783.990871963498588
G# 830.609395159890277
A_ 880.000000000000000
A# 932.327523036179832
B_ 987.766602512248223
C_ 1046.502261202394538
C# 1108.730523907488384
D_ 1174.659071669630241
D# 1244.507934888323642
E_ 1318.510227651479718
F_ 1396.912925732015537
F# 1479.977690846537595
G_ 1567.981743926997176
G# 1661.218790319780554
A_ 1760.000000000000000
A# 1864.655046072359665
B_ 1975.533205024496447
C_ 2093.004522404789077
C# 2217.461047814976769
D_ 2349.318143339260482
D# 2489.015869776647285
E_ 2637.020455302959437
F_ 2793.825851464031075
F# 2959.955381693075191
G_ 3135.963487853994352
G# 3322.437580639561108
A_ 3520.000000000000000
A# 3729.310092144719331
B_ 3951.066410048992894
C_ 4186.009044809578154
Let me fire off a few comments about frequencies for comparison --
1. AC power circuits in most countries oscillate voltages at a frequency
of 50 Hz or 60 Hz. Occasionally some faulty circuitry will hum or buzz
at this frequency at a consequence.
2. Dancer Michael Flatley's dancing feet have been clocked at 28 taps per
second (28 Hz). Oscillations in the low dozens of Hertz can be distinctly
heard as "sputtering" noises. Oscillations with lower frequencies sound
more like "wah-wah-wah" rhythms.
3. Human hearing can still detect sound in the low 10s of thousands of
Hertz (varying by individual, and decreasing with age). Dog can hear
at least an octave higher and these are the pitches used by dog whistles.
Look on the web for more detailed (and accurate) information about
frequencies, oscillations, and simple harmonic motion.
This is
http://www.math.niu.edu/~rusin/uses-math/music/frequencies