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stick was definitely and finally fixed by Francois Tourte at 29.34 to 29.528 in. The centre of gravity in a well-balanced violin bow should be at 19 cm. (7-1/2 to 7-3/4 in.) from the nut;[2] in the violoncello bow the hair measures from 60 to 62 cm. (24 to 25 in.), and the centre of gravity is at from 175 to 180 mm. (7 to 7-1/4 in.) from the nut. In consequence of the flexure given to the stick, Tourte found it necessary to readjust the proportions and relative height of head and nut, in order to keep the hair at a satisfactory distance from the stick, and at the necessary angle in attacking the strings so as to avoid contact between stick and strings in bowing. In order to counterbalance the consequent increased weight of the head and to keep the centre of gravity nearer the hand, Tourte loaded the nut with metal inlays or ornamental designs. The screw or ferrule, at the cylindrical end of the stick held by the hand, provides the means of tightening or loosening the tension of the hair. This screw, about 3-1/4 in. long, hidden within the stick, runs through the eye of another little screw at right angles to it, which is firmly embedded in the nut. The nut is a wooden block at the screw end of the stick, the original purpose of which was to keep the hair at a proper distance from the stick and to provide a secure attachment for the hair. The whole nut slides up and down the stick in a groove in answer to the screw, thus tightening or relaxing the tension of the hair. In the nut is a little cavity or chamber, into which the knotted end of the hair is firmly fixed by means of a little wedge, the hair being then brought out and flattened over the front of the nut like a ribbon by the pressure of a flat ferrule. The mother-of-pearl slide which runs along a mortised groove further protects the hair on the outside of the nut. Bows having these attachments of ferrule and slide, added by Tourte at the instigation of the violinist Giovanni Battista Viotti, were known as _archets a recouvrements_. The hair is chosen from the best white horsehair, and each of the 150 to 200 hairs which compose the half-inch wide ribbon of the bow must be perfectly cylindrical and smooth. It is bought by the pound, and must be very carefully sorted, for not more than one hair in ten is perfectly cylindrical and fit for use on a high-grade bow. Experience determines the
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