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Scientific pitch notation
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==Table of note frequencies== [[File:Piano Frequencies.svg|frame|alt=Piano Keyboard|An 88-key piano keyboard, with the octaves numbered and [[C (musical note)#Middle C|middle C]] (cyan) and [[A440 (pitch standard)|A440]] (yellow) highlighted]] The table below gives notation for pitches based on standard [[piano key frequencies]]: [[A440 (pitch standard)|standard concert pitch]] and [[twelve-tone equal temperament]]. When a piano is tuned to [[just intonation]], C<sub>4</sub> refers to the same key on the keyboard, but a slightly different frequency. Notes not produced by any piano are highlighted in medium gray, and those produced only by an extended 108-key piano, light gray. {|class="wikitable" style="line-height: 125%;" |+ [[Fundamental frequency]] in [[hertz]] (MIDI note number) !{{diagonal split header|Note|Octave}} !!β1 !!0 !!1 !!2 !!3 !!4 !!5 !!6 !!7 !!8 !!9 !!10 |- !C |style="background:#bbb;"|8.175799 (0) ||style="background:#ddd;"|16.35160 (12) ||32.70320 (24) ||65.40639 (36) ||130.8128 (48) ||style="background:#0ff;"|261.6256 (60) ||523.2511 (72) ||1046.502 (84) ||2093.005 (96) ||4186.009 (108) ||style="background:#bbb;"|8372.018 (120) ||style="background:#bbb;"|16744.04 |- !C{{music|#}}/D{{music|b}} |style="background:#bbb;"|8.661957 (1) ||style="background:#ddd;"|17.32391 (13) ||34.64783 (25) ||69.29566 (37) ||138.5913 (49) ||277.1826 (61) ||554.3653 (73) ||1108.731 (85) ||2217.461 (97) ||style="background:#ddd;"|4434.922 (109) ||style="background:#bbb;"|8869.844 (121) ||style="background:#bbb;"|17739.69 |- !D |style="background:#bbb;"|9.177024 (2) ||style="background:#ddd;"|18.35405 (14) ||36.70810 (26) ||73.41619 (38) ||146.8324 (50) ||293.6648 (62) ||587.3295 (74) ||1174.659 (86) ||2349.318 (98) ||style="background:#ddd;"|4698.636 (110) ||style="background:#bbb;"|9397.273 (122) ||style="background:#bbb;"|18794.55 |- !E{{music|b}}/D{{music|#}} |style="background:#bbb;"|9.722718 (3) ||style="background:#ddd;"|19.44544 (15) ||38.89087 (27) ||77.78175 (39) ||155.5635 (51) ||311.1270 (63) ||622.2540 (75) ||1244.508 (87) ||2489.016 (99) ||style="background:#ddd;"|4978.032 (111) ||style="background:#bbb;"|9956.063 (123) ||style="background:#bbb;"|19912.13 |- !E |style="background:#bbb;"|10.30086 (4) ||style="background:#ddd;"|20.60172 (16) ||41.20344 (28) ||82.40689 (40) ||164.8138 (52) ||329.6276 (64) ||659.2551 (76) ||1318.510 (88) ||2637.020 (100) ||style="background:#ddd;"|5274.041 (112) ||style="background:#bbb;"|10548.08 (124) ||style="background:#bbb;"|21096.16 |- !F |style="background:#bbb;"|10.91338 (5) ||style="background:#ddd;"|21.82676 (17) ||43.65353 (29) ||87.30706 (41) ||174.6141 (53) ||349.2282 (65) ||698.4565 (77) ||1396.913 (89) ||2793.826 (101) ||style="background:#ddd;"|5587.652 (113) ||style="background:#bbb;"|11175.30 (125) ||style="background:#bbb;"|22350.61 |- !F{{music|#}}/G{{music|b}} |style="background:#bbb;"|11.56233 (6) ||style="background:#ddd;"|23.12465 (18) ||46.24930 (30) ||92.49861 (42) ||184.9972 (54) ||369.9944 (66) ||739.9888 (78) ||1479.978 (90) ||2959.955 (102) ||style="background:#ddd;"|5919.911 (114) ||style="background:#bbb;"|11839.82 (126) ||style="background:#bbb;"|23679.64 |- !G |style="background:#bbb;"|12.24986 (7) ||style="background:#ddd;"|24.49971 (19) ||48.99943 (31) ||97.99886 (43) ||195.9977 (55) ||391.9954 (67) ||783.9909 (79) ||1567.982 (91) ||3135.963 (103) ||style="background:#ddd;"|6271.927 (115) ||style="background:#bbb;"|12543.85 (127) ||style="background:#bbb;"|25087.71 |- !A{{music|b}}/G{{music|#}} |style="background:#bbb;"|12.97827 (8) ||style="background:#ddd;"|25.95654 (20) ||51.91309 (32) ||103.8262 (44) ||207.6523 (56) ||415.3047 (68) ||830.6094 (80) ||1661.219 (92) ||3322.438 (104) ||style="background:#ddd;"|6644.875 (116) ||style="background:#bbb;"|13289.75 ||style="background:#bbb;"|26579.50 |- !A |style="background:#bbb;"|13.75000 (9) ||27.50000 (21) ||55.00000 (33) ||110.0000 (45) ||220.0000 (57) ||style="background:#ff0;"|440.0000 (69) ||880.0000 (81) ||1760.000 (93) ||3520.000 (105) ||style="background:#ddd;"|7040.000 (117) ||style="background:#bbb;"|14080.00 ||style="background:#bbb;"|28160.00 |- !B{{music|b}}/A{{music|#}} |style="background:#bbb;"|14.56762 (10) ||29.13524 (22) ||58.27047 (34) ||116.5409 (46) ||233.0819 (58) ||466.1638 (70) ||932.3275 (82) ||1864.655 (94) ||3729.310 (106) ||style="background:#ddd;"|7458.620 (118) ||style="background:#bbb;"|14917.24 ||style="background:#bbb;"|29834.48 |- !B |style="background:#bbb;"|15.43385 (11) ||30.86771 (23) ||61.73541 (35) ||123.4708 (47) ||246.9417 (59) ||493.8833 (71) ||987.7666 (83) ||1975.533 (95) ||3951.066 (107) ||style="background:#ddd;"|7902.133 (119) ||style="background:#bbb;"|15804.27 ||style="background:#bbb;"|31608.53 |} Mathematically, given the number {{mvar|n}} of semitones above middle C, the fundamental frequency in hertz is given by <math>440 \cdot 2^{(n-9)/12}</math> (see [[twelfth root of two]]). Given the MIDI NoteOn number {{mvar|m}}, the frequency of the note is normally <math>440 \cdot 2^{(m-69)/12}</math> Hz, using standard tuning.
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