table( r=2^((-24...24)/12) , 440 r, note_names) # ratio to A440 freq (Hz) note # - - - - - - - - - - - - - - - - - - 0.25 110 A2 0.26487 116.54094 0.28062 123.47083 B2 0.2973 130.81278 C2 0.31498 138.59132 0.33371 146.83238 D3 0.35355 155.56349 0.37458 164.81378 E3 0.39685 174.61412 F3 0.42045 184.99721 0.44545 195.99772 G3 0.47194 207.65235 0.5 220 A3 0.52973 233.08188 A# 0.56123 246.94165 B3 0.5946 261.62557 C3 (middle C on piano) 0.62996 277.18263 C# 0.66742 293.66477 D4 0.70711 311.12698 D# 0.74915 329.62756 E4 0.7937 349.22823 F4 0.8409 369.99442 F# 0.8909 391.99544 G4 0.94387 415.3047 G# 1 440 A4 1.05946 466.16376 1.12246 493.8833 and so on. 1.18921 523.25113 1.25992 554.36526 1.33484 587.32954 1.41421 622.25397 1.49831 659.25511 1.5874 698.45646 1.68179 739.98885 1.7818 783.99087 1.88775 830.6094 2 880 2.11893 932.32752 2.24492 987.7666 2.37841 1046.50226 2.51984 1108.73052 2.66968 1174.65907 2.82843 1244.50793 2.99661 1318.51023 3.1748 1396.91293 3.36359 1479.97769 3.56359 1567.98174 3.7755 1661.21879 4 1760