Twelve tone Equal Temperament (12tET) and LucyTuned
Frequencies in Hertz (cycles per second)

12tET semitone ratio = 2^(1/12) = 1.059

LucyTuned Large Interval Ratio (L) = 2^(1/(2*pi))  =  1.116633
          small interval ratio (s) = {2/(2^{2^(1/(2*pi))}^5)^(1/2) =  1.073344

Frequencies from notes C4 to B#5 showing only naturals
                                and single #'s and b's   RATIOS FROM A
Notename  12tET    LucyTuned         12tET    LucyTuned  12tET    LucyTuned
C         261.626  263.677           523.251  527.354    1.189    1.199
C#        277.183  274.311           554.365  548.622    1.260    1.247
Db        277.183  283.016           554.365  566.032    1.260    1.286
D         293.665  294.430           587.330  588.861    1.335    1.338
D#        311.127  306.305           622.254  612.610    1.414    1.392
Eb        311.127  316.025           622.254  632.050    1.414    1.436
E         329.628  328.771           659.255  657.541    1.498    1.494
Fb        329.628  339.204           659.255  678.407    1.498    1.542
E#        349.228  342.030           698.456  684.060    1.587    1.555
F         349.228  352.884           698.456  705.768    1.587    1.604
F#        369.994  367.116           739.989  734.232    1.682    1.669
Gb        369.994  378.766           739.989  757.532    1.682    1.722
G         391.995  394.042           783.991  788.084    1.782    1.791
G#        415.305  409.934           830.609  819.868    1.888    1.863
Ab        415.305  422.942           830.609  845.885    1.888    1.922
A         440.000  440.000           880.000  880.000    2.000    2.000
A#        466.164  457.746           932.328  915.491    1.059    1.040
Bb        466.164  472.271           932.328  944.543    1.059    1.073
B         493.883  491.318           987.767  982.637    1.122    1.117
Cb        493.883  506.910           987.767 1013.819    1.122    1.152
B#        523.251  511.134          1046.502 1022.267    1.189    1.162

To convert between ratio and cents
Enter a number in either field, then click outside the text box.

Ratio: 
Cents: 

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