The savart /səˈvɑːr/ is a unit of measurement for musical pitch intervals ( play ). One savart is equal to one thousandth of a decade (10/1: 3,986.313714 cents): 3.9863 cents. Today the savart has largely been replaced by the cent and the millioctave. The savart is practically the same as the earlier heptameride (eptameride), one seventh of a meride. One tenth of an heptameride is a decameride and a hundredth of an heptameride (thousandth of a decade) is a jot.
If is the ratio of frequencies of a given interval, the corresponding measure in savarts is given by:
or
Like the more common cent, the savart is a logarithmic measure, and thus intervals can be added by simply adding their savart values, instead of multiplying them as you would frequencies. The number of savarts in an octave is 1000 times the base-10 logarithm of 2, or nearly 301.03. Sometimes this is rounded to 300, which makes the unit more useful for equal temperament.
The conversion from savarts into cents or millioctaves is:
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