Savart

Savart

The savart /IPA|saˈvaːr/ (Audio|Savart on C.mid|play) is a unit of measurement for musical intervals. Today the savart has largely been replaced by the cent and the millioctave. Another name for the savart is the eptaméride.

Definition

If frac{f_2}{f_1} is the ratio of frequencies of a given interval, the corresponding measure in savarts is given by:

s = 1000 log_{10}{frac{f_2}{f_1

or

frac{f_2}{f_1} = 10^{frac{s}{1000

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.cite web|url=http://www.xs4all.nl/~huygensf/doc/measures.html|title=Logarithmic Interval Measures|author=Huygens-Fokker Foundation|access-date=2007-06-13]

Conversion

The conversion from savarts into cents or millioctaves is rather simple:

1 mathrm{savart} = frac{1200}{1000log_{10}{2 mathrm{cent} approx 3.986 mathrm{cent}

1 mathrm{savart} = frac{1}{log_{10}{2 mathrm{millioctave} approx 3.3219 mathrm{millioctave}

History

The savart is named after the French physicist and doctor Félix Savart (1791-1841), but it was devised earlier by the French acoustician Joseph Sauveur (1653-1716), who named it the "eptaméride" or "heptaméride", as one seventh of a "méride", the earliest logarithmic interval measure. The name was changed to savart in the 20th century.

See also

*Cent (music)
*Musical tuning
*Logarithm

Notes

External links

* [http://www.xs4all.nl/~huygensf/doc/measures.html Logarithmic Interval Measures]


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Look at other dictionaries:

  • savart — [ savar ] n. m. • 1904; de Savart, n. d un physicien ♦ Mus. Unité pratique d intervalle musical. Le demi ton tempéré vaut 25 savarts. ● savart nom masculin (bas latin savarda) En Champagne, lande crayeuse. ● savart nom masculin (de Savart, nom… …   Encyclopédie Universelle

  • SAVART (F.) — SAVART FÉLIX (1791 1841) Physicien français né à Mézières et mort à Paris. Alors qu’il était chirurgien militaire, Félix Savart traduit le De arte medica du médecin romain du SAVART (F.) Ier siècle, Celse, puis, abandonnant la médecine, il se… …   Encyclopédie Universelle

  • savart — SAVÁRT, savarţi, s.m. Unitate de măsură pentru intervalele muzicale, de 301 ori mai mică decât o octavă. [var.: savár s.m.] – Din fr. savart. Trimis de LauraGellner, 17.07.2004. Sursa: DEX 98  savárt s. m., pl. savárţi Trimis de siveco,… …   Dicționar Român

  • Savart —   [sa vaːr], Félix, französischer Arzt und Physiker, * Mézières (heute zu Charleville Mézières) 30. 6. 1791, ✝ Paris 16. 3. 1841; Professor am Collège de France (ab 1828). Savart führte bedeutende akustische Untersuchungen durch; er bestimmte… …   Universal-Lexikon

  • savart — (izg. savȃr) m DEFINICIJA fiz. mjerna jedinica frekvencijskog intervala ETIMOLOGIJA vidi Savart …   Hrvatski jezični portal

  • Savart — Savart, Félix …   Enciclopedia Universal

  • Savart — (izg. savȃr), Félix (1791 1841) DEFINICIJA francuski fizičar, radovi iz područja akustike, optike, znanosti o elektricitetu …   Hrvatski jezični portal

  • Savart — En acústica musical, el savart es una medida logarítmica de afinación musical. Corresponde aproximadamente a la cantidad de desafinación que puede percibir un músico bien entrenado (unos 4 cents). Su nombre proviene del físico y médico francés… …   Wikipedia Español

  • Savart — Einheit Norm Hilfsmaßeinheit Einheitenname Savart Beschriebene Größe(n) musikalisches Intervall Größensymbol(e) Δ Dimensionsname 1 (dime …   Deutsch Wikipedia

  • savart —    a unit used in music to describe the ratio in frequency between notes.    The difference between two frequencies in savarts is equal to 1000 times the logarithm of the ratio between the two frequences. Thus there are 1000·log(2) = 301.03000… …   Dictionary of units of measurement

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