Deutsche Version 
Fill out the gray boxes and click at the calculation bar.
There is no conversion from Hz to cents and vice versa.
Scroll down to the bottom: "Table of Cent Difference".
Statement: Cent is a logarithmic unit of measure of an interval, and that is a dimensionless "frequency ratio" of f_{2} / f_{1}.
Calculation: Intervals (cents) and Frequency (Hz) as Excel Program (xls)
Cent valuedetermination of an interval
Instead of the frequencies you can take the fraction numbers − e.g. 4/5 of the interval major third.
written using a log 10 function, available on most scientific calculators via the log button:

The Pythagorean comma is the frequency ratio (3 / 2)^{12} / 2^{7} = 3^{12} / 2^{19} = 531441 / 524288 = 1.0136432647705078125. The resulting is converted to 23.460010384649013 cent. Twelve perfect fifths (3 / 2) reveals 8423.46 cents and seven octaves, however, reveals only 8400 cents. 
Conversions of Semitone Intervals
An interval is the difference between two pitches or the
distance between two frequencies in terms of semitones.
Enter any two known values and press "calculate" to solve for the other. Please, enter only two values. 
Frequency calculation for different octave intervals
Changing of the frequency about a cent value
Frequency to musical note converter
Find out what note a given frequency is. English system.
Formulas: f = 440 × 2^{(−58/12)} × (2^{(1/12)})^{n} and f = 440 × 2^{((n−58)/12)} The original source program of Iain W. Bird is still faulty: http://www.birdsoft.demon.co.uk/music/notecalc.htm The frequency of 440 Hz is the concert pitch note A4. If someone tells you different, this person is in error; see also: 
Table: Frequencies of equal temperament and Note names
Change of pitch with change of temperature
The frequency as semitone distance from A4 = 440 Hz
For a note that lies n semitones higher (or −n semitones lower) from A4, the frequency is f_{n} = 2^{n/12} × 440 Hz. Conversely, one can obtain n, the number of semitones from A4, from: n = 12 × log_{2 }(f_{n} / 440 Hz). 
To use the calculator, simply enter a value. The calculator works in both directions of the ↔ sign. 
Masterclock calculator (clock rate)
To use the calculator, simply enter a value. The calculator works in both directions of the ↔ sign. 
Calculator with reference frequency
For downward tuning the reference frequency and piano tuning can be changed.
100 cent is equivalent to a semitone (halftone).
Note names: English and German System by comparison
Calculations of Harmonics from Fundamental Frequency
Interval  Frequency ratio  cents 
Unison  1.000000 : 1  0 
Semitone or minor second  1.059463 : 1  100 
Whole tone or major second  1.122462 : 1  200 
Minor third  1.189207 : 1  300 
Major third  1.259921 : 1  400 
Perfect fourth  1.334840 : 1  500 
Augmented fourth/Diminished fifth  1.414214 : 1  600 
Perfect fifth  1.498307 : 1  700 
Minor sixth  1.587401 : 1  800 
Major sixth  1.681793 : 1  900 
Minor seventh  1.781797 : 1  1000 
Major seventh  1.887749 : 1  1100 
Octave  2.000000 : 1  1200 
Some like to tell us that calling a tempered fifth "perfect"
is a misnomer and perfect intervals are only proper fractions.
Keyboard
In the following table are for the most popular pure dyads up to the octave  the frequency ratio is themeasure of consonance and the sound sensation of most people. 
Dyads  Frequency ratio 
Consonance value 
Sensation of sound 
minor second  16:15  15.49  very dissonant 
major second  9:8  8.49  dissonant 
minor third  6:5  5.48  consonant ("minor") 
major third  5:4  4.47  consonant ("major") 
forth  4:3  3.46  consonant 
tritonus  45:32  37.95  very dissonant 
fifth  3:2  2.45  very consonant ("neutral") 
minor sixth  8:5  6.32  consonant ("minor") 
major sixth  5:3  3.87  consonant ("major") 
minor seventh  16:9  12.00  dissonant 
major seventh  15:8  10.95  dissonant 
octave  2:1  1.41  very consonant ("neutral") 
Name  Exact value in 12TET  Decimal value  Just intonation interval  Percent difference 
Unison  1  1.000000  1 = 1.000000  0.00% 
Minor second  1.059463  16/15 = 1.066667  −0.68%  
Major second  1.122462  9/8 = 1.125000  −0.23%  
Minor third  1.189207  6/5 = 1.200000  −0.91%  
Major third  1.259921  5/4 = 1.250000  +0.79%  
Perfect fourth  1.334840  4/3 = 1.333333  +0.11%  
Diminished fifth  1.414214  7/5 = 1.400000  +1.02%  
Perfect fifth  1.498307  3/2 = 1.500000  −0.11%  
Minor sixth  1.587401  8/5 = 1.600000  −0.79%  
Major sixth  1.681793  5/3 = 1.666667  +0.90%  
Minor seventh  1.781797  16/9 = 1.777778  +0.23%  
Major seventh  1.887749  15/8 = 1.875000  +0.68%  
Octave  2.000000  2/1 = 2.000000  0.00% 
TET 12  equal temperament semitone (1/2 tone) has the frequency ratio of ^{12}√2 = 2^{1/12} = 1.0594630943592952645618252949463 TET 24  equal temperament quarter tone (1/4 tone) has the frequency ratio of ^{24}√2 = 2^{1/24} = 1.0293022366434920287823718007739 TET 48  equal temperament eighth tone (1/8 tone) has the frequency ratio of ^{48}√2 = 2^{1/48 }= 1.0145453349375236414538678576629 
Question: How can I convert cents to Hz? Answer: You cannot convert cents to hertz, because cents are not a frequency. cents are the measurement between intervals, that is a "frequency ratio" f_{2}/f_{1}. 
Here's a Table of Cents Difference for some frequencies close around 440 Hz: 435 Hz: −19.78 cents 436 Hz: −15.81 cents 437 Hz: −11.84 cents 438 Hz: −7.89 cents 439 Hz: −3.94 cents 440 Hz: 0 cents 441 Hz: +3.93 cents 442 Hz: +7.85 cents 443 Hz: +11.76 cents 444 Hz: +15.67 cents 445 Hz: +19.56 cents So, the conversion factor 4 cents / Hz is valid for the purposes of tuning as an exception only very close around 440 Hz. There is no conversion from Hz to cents and vice versa. Statement: Cent is a logarithmic unit of measure of an interval, and that is a dimensionless "frequency ratio" of f_{2} / f_{1}. 
Smallest recognizable frequency difference for pure tones at different listening levels
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