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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

LucyTuned 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 440.00 440.000   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