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Musical Mathematical TerminologyThe SavartFelix Savart (1791  1841) improved upon the ideas of Daniel Bernoulli (1700  1782) and Ernst Florens Fredrich Chlandni (1756  1827) and developed a logarithmic interval term called the savart. There are 303.03 Savarts in one octave, or doubling of the frequency. This scheme works well when discussing musical notes because it is completely ratiometric and works the same from low frequencies through high frequencies. The CentLater, Alexander John Ellis (1814  1890) developed another similar concept, the cent. In Alexander's scheme, the octave would be broken down into 1200 cents, making each equal tempered half tone equal to exactly 100 cents. this leads to: You can see how this mathematical relationship is useful, since one standard, equal tempered halftone is 100 Cents.


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