By means of the Eustachian tube, which is opened in the act of
swallowing, the pressure of the air on both sides of the tympanic
membrane is equalized.
By either condensing or rarefying the air behind the tympanic membrane,
deafness to sounds of low pitch may be produced.
On the approach of a railway train the pitch of the whistle is higher,
on the retreat of the train the pitch is lower, than it would be if the
train were at rest.
Musical sounds are transmitted by liquids and solids. Such sounds may
be transferred from one room to another; from the ground-floor to the
garret of a house of many stories, for example, the sound being unheard
in the rooms intervening between both, and rendered audible only when
the vibrations are communicated to a suitable sound-board.
CHAPTER III
Vibration of Strings—How employed in Music—Influence of
Sound-Boards—Laws of Vibrating Strings—Combination of
Direct and Reflected Pulses—Stationary and Progressive
Waves—Nodes and Ventral Segments—Application of Results to the
Vibrations of Musical Strings—Experiments of Melde—Strings
set in Vibration by Tuning-Forks—Laws of Vibration thus
demonstrated—Harmonic Tones of Strings—Definitions of Timbre
or Quality, or Overtones and Clang—Abolition of Special
Harmonics—Conditions which affect the Intensity of the
Harmonic Tones—Optical Examination of the Vibrations of a
Piano-Wire.
§ 1. _Vibrations of Strings: Use of Sound-Boards_
We have to begin our studies to-day with the vibrations of strings
or wires; to learn how bodies of this form are rendered available
as sources of musical sounds, and to investigate the laws of their
vibrations.
To enable a musical string to vibrate _transversely_, or at right
angles to its length, it must be stretched between two rigid points.
Before you, Fig. 31 (next page), is an instrument employed to stretch
strings, and to render their vibrations audible. From the pin _p_,
to which one end of it is firmly attached, a string passes across
the two bridges B and B′, being afterward carried over the wheel H,
which moves with great freedom. The string is finally stretched by a
weight W, of 28 lbs., attached to its extremity. The bridges B and B′,
which constitute the real ends of the string, are fastened on to the
long wooden box M N. The whole instrument is called a monochord, or
sonometer.
[Illustration: FIG. 31.]
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