Savart
Physical unit | |
---|---|
Unit name | Savart |
Unit symbol | , |
Physical quantity (s) | musical interval |
Formula symbol | |
dimension | |
In SI units | |
Named after | Félix Savart |
Derived from | Frequency ratio |
See also: cent , millioctave , neper , octave |
The Savart / saˈvaːr / (after Félix Savart ; older name of the unit: Eptaméride ) is an auxiliary unit of measurement for musical intervals . 1000 Savart corresponds to a frequency ratio of 10: 1.
Today, instead of the Savart, the cent measure is usually used, and occasionally the millioctave .
definition
If the frequency ratio that determines a given interval, then the associated Savart value is:
Like the more common cent measure , the savart is a logarithmic measure for intervals. Therefore one can add interval sizes in Savart instead of having to multiply them as with frequency ratios.
Example:
interval Frequency ratio in Savart In cents 1 octave 2: 1 301 1200 2 octaves 4: 1 602 2400 3 octaves 8: 1 903 3600 Fifth 3: 2 176 702 Fourth 4: 3 125 498 major third 5: 4 97 386
Conversions
history
The Savart was invented in 1701 by the French acoustician Joseph Sauveur and named by him as Eptaméride or Heptaméride .
See also
Web links
- Compilation of logarithmic units of measurement for interval sizes ( Memento from June 28, 2001 in the Internet Archive )