2Z2

Plate

XXXVI.

Fi S- 3-

Of Winds and Sounds.

and are of equal Length, and tended b?equal Weights E, F; the 'Times of the V 1 'brations will be as their Diameters, viz- aS2 to i ; and so the Vibrations in a gi veI1Time, and the Co-incidences, as before.

Lastly : If the Diameters and Lengthof the Strings be equal, the Times of ™Vibrations will be inversely as theRoots of the Weights which f retch them .the Weights E and F be as I to 4Square Roots of which are I and 2)the Times of Vibration in AB and Cfwill be "as 2 to 1. Hence in confruH 1 ^fringed Infruments, as Spinets, HaR psIchords, Ve. a skilful Artist will c01 ^pound these Proportions of the Lens *Diameter , and Tens on of the Strings to V *great Advantage.

In Wind-Infiruments , as the FiV 1 "^Organ, &c. where the Sound is madethe Vibration of a Column of elafic Ait" c0 ^tain’d in the Tube, the Time oftion or Tone of the Instrument willvary with the Length and Diameter °Jsaid Column of Air , and Force of the y l ^which compresses it; as it will be ea /observe from Experiments. . ^

If one Body be made to foundanother, their Vibrations will co-incid