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Online conversion calculator between different types of musical ratios: fractions, integers (archaic ratios), ascending, descending and mixed series + custom unit of measurement (Hertz).

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Ratio Converter

Conversion calculator between different types of musical ratios: fractions, integers (archaic ratios), ascending, descending and mixed series + custom unit of measurement (Hertz).

Conventionally, musicians employ symbols for musical elements in the form of names (G or Sol, Pa, Κε/Ke), measuring units (cents, śrutis, moria) and graphical notes (musical notes, swaralipi, neumes).

These symbols represent number-relations and are defined through RATIOS. The numerical essence of musical entities comes not from convention, but from the quantifiable nature of sound.

Ratio Converter by Bo Constantinsen and Robert Eisele

Musical ratios can be written in different ways, while keeping their relative values constant. Human perception of pitch is logarithmic, so diferences between members of a series are calculated by division. No matter how they are represented numerically, differences in pitch do not change.

Ratio Converter by Bo Constantinsen and Robert Eisele

*Note: Descending Integers are to be interpreted as 1/x.*

Plotted on logarithmic number lines (where ticks are the logarithms of the written values), all numbers correspond. Dividing any 2 corresponding values by each other returns the same result.

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Online conversion calculator between different types of musical ratios: fractions, integers (archaic ratios), ascending, descending and mixed series + custom unit of measurement (Hertz).

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