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Appendix C COMPARISON OF TUNING SYSTEMS

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Octave Number

Pitch	0	1	2	3	4	5	6	7	8
C		32.7032	65.4064	130.8128	261.6256	523.2511	1046.5023	2093.0045	4186.0090
C#/Db		34.6478	69.2957	138.5913	277.1826	554.3653	1108.7305	2217.4610
D		36.7081	73.4162	146.8324	293.6648	587.3295	1174.6591	2349.3181
D#/Eb		38.8909	77.7817	155.5635	311.1270	622.2540	1244.5079	2489.0159
E		41.2034	82.4069	164.8138	329.6276	659.2551	1318.5102	2637.0205
F		43.6535	87.3071	174.6141	349.2282	698.4565	1396.9129	2793.8259
F#/Gb		46.2493	92.4986	184.9972	369.9944	739.9888	1479.9777	2959.9554
G		48.9994	97.9989	195.9977	391.9954	783.9909	1567.9817	3135.9635
G#/Ab		51.9131	103.8262	207.6523	415.3047	830.6094	1661.2188	3322.4376
A	27.5000	55.000	110.0000	220.0000	440.0000	880.0000	1760.0000	3520.0000
A#/Bb	29.1352	58.2705	116.5409	233.0819	466.1638	932.3275	1864.6550	3729.3101
B	30.8677	61.7354	123.4708	246.9417	493.8833	987.7666	1975.5332	3951.0664

Frequency equivalents in hertz of the pitches of the equal tempered scale over the range of the piano keyboard.

The following chart (from C.A. Taylor, The Physics of Musical Sounds, London, 1965, pp. 128-9, used by permission) shows the comparative frequency ratios in Hertz and cents of the notes in the scale as they occur in the PYTHAGOREAN, JUST INTONATION, and EQUAL TEMPERAMENT systems of TUNING.

See also: INTERVAL, SCALE. 

 

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