LETTER VIII.

Musical and harmonic sounds explained--Power of breaking glasses

with the voice--Musical sounds from the vibration of a column

of air--and of solid bodies--Kaleidophone--Singular acoustic

figures produced on sand laid on vibrating plates of glass--and

on stretched membranes--Vibration of flat rulers and cylinders

of glass--Production of silence from two sounds--Production

of darkness from two lights--Explanation of these singular

effects--Acoustic automaton--Droz’s bleating sheep--Maillardet’s

singing-bird--Vaucanson’s flute-player--His pipe and

tabor-player--Baron Kempelen’s talking-engine--Kratzenstein’s

speaking-machine--Mr. Willis’s researches.

Among the discoveries of modern science, there are few more remarkable

than those which relate to the production of harmonic sounds. We

are all familiar with the effects of musical instruments, from the

deep-toned voice of the organ to the wiry shrill of the Jew’s harp.

We sit entranced under their magical influence, whether the ear is

charmed with the melody of their sounds, or the heart agitated by the

sympathies which they rouse. But though we may admire their external

form, and the skill of the artist who constructed them, we never think

of inquiring into the cause of such extraordinary combinations.

Sounds of all kinds are conveyed to the organ of hearing through the

air; and if this element were to be destroyed, all nature would be

buried in the deepest silence. Noises of every variety, whether they

are musical or discordant, high or low, move through the air of our

atmosphere at the surface of the earth with a velocity of 1090 feet

in a second, or 765 miles per hour; but in sulphurous acid gas sound

moves only through 751 feet in a second, while in hydrogen gas it moves

with the great velocity of 3000 feet. Along fluid and solid bodies,

its progress is still more rapid. Through water it moves at the rate

of 4708 feet in a second, through tin at the rate of 8175 feet, and

through iron, glass, and some kinds of wood, at the rate of 18,530 feet.

When a number of single and separate sounds follow each other in rapid

succession, they produce a continued sound, in the same manner as a

continuous circle of light is produced by whirling round a burning

stick before the eye. In order that the sound may appear a single one

to the ear, nearly sixteen separate sounds must follow one another

every second. When these sounds are exactly similar, and recur at equal

intervals, they form a musical sound. In order to produce such sounds

from the air, it must receive at least sixteen equally distant impulses

or strokes in a second. The most common way of producing this effect is

by a string or wire A B, Fig. 40, stretched between the fixed points A,

B. If this string is taken by the middle and pulled aside, or if it is

suddenly struck, it will vibrate between its two fixed points, as shown

in the figure, passing alternately on each side of its axis A B, the

vibrations gradually diminishing by the resistance of the air till the

string is brought to rest. Its vibrations, however, may be kept up, by

drawing a rosined fiddle-bow across it, and while it is vibrating it

will give out a sound corresponding to the rapidity of its vibrations,

and arising from the successive blows or impulses given to the air by

the string. This sound is called the fundamental sound of the string,

and its acuteness or sharpness increases with the number of vibrations

which the string performs in a second.

[Illustration: _Fig. 40._]

If we now touch the vibrating string A´ B lightly with the finger,

or with a feather at the middle point C, Fig. 40, it will give out a

more acute but fainter sound than before, and while the extent of its

vibrations is diminished, their frequency is doubled. In like manner,

if we touch the string A´´ B´´, Fig. 40, at a point C, so that A´´ C is

one-third of A´´ B´´, the note will be still more acute, and correspond

to thrice the number of vibrations. All this might have been expected;

but the wonderful part of the experiment is, that the vibrating string

A´ B´ divides itself at C into two parts A´ C, C B´, the part A´ C

vibrating round A and C as fixed points, and the part C B´ round C and

B´, but always so that the part A´ C is at the same distance on the

one side of the axis A´ B´ as at A _m_ C, while the part C B is on

the other side, as at C _n_ B. Hence the point C, being always pulled

by equal and opposite forces, remains at rest as if it were absolutely

fixed. This stationary point is called a _node_, and the vibrating

portions A´_m_ C, C _n_ B´ loops. The very same is true of the string

A´´ B´´, the points C and D being stationary points; and upon the

same principle a string may be divided into any number of vibrating

portions. In order to prove that the string is actually vibrating in

these equal subdivisions, we have only to place a piece of light paper

with a notch in it on different parts of the string. At the nodes C and

D it will remain perfectly at rest, while at _m_ or _n_ in the middle

of the loops it will be thrown off or violently agitated.

The acute sounds given out by each of the vibrating portions are called

_harmonic sounds_, and they accompany the fundamental sound of the

string in the very same manner as we have already seen that the eye

sees the accidental or harmonic colours while it is affected with the

fundamental colour.

The subdivision of the string, and consequently the production of

harmonic sounds, may be effected without touching the string at all,

and by means of a sympathetic action conveyed by the air. If a string

A B, for example, Fig. 40, is at rest, and if a shorter string A´´ C,

one third of its length, fixed at the two points A´´ and C, is set

vibrating in the same room, the string A B will be set vibrating in

three loops like A´´ B´´, giving out the same harmonic sounds as the

small string A´´ C.

It is owing to this property of sounding bodies that singers with great

power of voice are able to break into pieces a large tumbler glass, by

singing close to it its proper fundamental note; and it is from the

same sympathetic communication of vibrations that two pendulum clocks

fixed to the same wall, or two watches lying upon the same table, will

take the same rate of going, though they would not agree with one

another if placed in separate apartments. Mr. Ellicott even observed

that the pendulum of the one clock will stop that of the other, and

that the stopped pendulum will, after a certain time, resume its

vibrations, and in its turn stop the vibrations of the other pendulum.

The production of musical sounds by the vibrations of a column of air

in a pipe is familiar to every person, but the extraordinary mechanism

by which it is effected is known principally to philosophers. A column

of air in a pipe may be set vibrating by blowing over the open end of

it, as is done in Pan’s pipes; or by blowing over a hole in its side,

as in the flute; or by blowing through an aperture called a reed,

with a flexible tongue, as in the clarionet. In order to understand

the nature of this vibration, let AB, Fig. 41, be a pipe or tube, and

let us place in it a spiral spring AB, in which the coil or spire are

at equal distances, each end of the spiral being fixed to the end of

the tube. This elastic spring may be supposed to represent the air in

the pipe, which is of equal density throughout. If we take hold of

the spring at _m_, and push the point _m_ towards A and towards B in

succession, it will give us a good idea of the vibration of an elastic

column of air. When _m_ is pushed towards A, the spiral spring will

be compressed or condensed, as shown at _m_ A, No. 2, while at the

other end it will be dilated or rarefied, as shown at _m_ B, and in

the middle of the tube it will have the same degree of compression as

in No. 1. When the string is drawn to the other end of the tube B, the

spring will be, as in No. 3, condensed at the end B, and dilated at

the end A. Now when a column of air vibrates in a pipe AB, the whole

of it rushes alternately from B to A, as in No. 2, and from A to B as

in No. 3, being condensed at the end A, No. 2, and dilated or rarefied

at the end B, while in No. 3 it is rarefied at A and condensed at B,

preserving its natural density at the middle point between A and B. In

the case of the spring the ends AB are alternately pushed outwards and

pulled inwards by the spring, the end A being pushed outwards in No. 2,

and B pulled inwards, while in No. 3 A is pulled inwards and B pushed

outwards.

[Illustration: _Fig. 41._]

That the air vibrating in a pipe is actually in the state now

described, may be shown by boring small holes in the pipe, and putting

over them pieces of a fine membrane. The membrane opposite to the

middle part between A and B where the particles of the air have the

greatest motion, will be violently agitated, while at points nearer the

ends A and B it will be less and less affected.

[Illustration: _Fig. 42._]

Let us now suppose two pipes, AB, BC, to be joined together as in Fig.

42, and to be separated by a fixed partition at B; and let a spiral

spring be fixed in each. Let the spring AB be now pushed to the end

A, while the spring BC is pushed to C, as in No. 1, and back again,

as in No. 2, but always in opposite directions; then it is obvious

that the partition B is in No. 1 drawn in opposite directions towards

A and towards C, and always with forces equal to each other: that is,

when B is drawn slightly towards A, which it is at the beginning of

the motion, it is also drawn slightly towards C; and when it is drawn

forcibly towards A, as it is at the end of the motion of the spring,

it is also drawn forcibly towards C. If the partition B, therefore, is

moveable, it will still remain fixed during the opposite excursions

of the spiral springs; nay, if we remove the partition, and hook the

end of one spiral spring to the end of the other, the node or point of

junction will remain stationary during the movements of the springs,

because at every instant that point is drawn by equal and opposite

forces. If _three_, _four_, or _five_ spiral springs are joined in a

similar manner, we may conceive them all vibrating between their nodes

in the same manner.

Upon the very same principles we may conceive a long column of air

without partitions dividing itself into two, three, or four smaller

columns, each of which will vibrate between its nodes in the same

manner as the spiral spring. At the middle point of each small

vibrating column, the air will be of its natural density, like that

of the atmosphere; while at the nodes B, &c. it will be in a state of

condensation and rarefaction alternately.

If, when the air is vibrating in one column in the pipe AB, as in Fig.

41, No. 2, 3, we conceive a hole made in the middle, the atmospheric

air will not rush in to disturb the vibration, because the air within

the pipe and without it has exactly the same density. Nay, if, instead

of a single hole, we were to cut a ring out of the pipe at the middle

point, the column would vibrate as before. But if we bore a hole

between the middle and one of the ends, where the vibrating column

must be either in a state of condensation or rarefaction, the air must

either rush out or rush in, in order to establish the equilibrium.

The air opposite the hole will then be brought to the state of the

external air, like that in the middle of the pipe; it will become the

middle of a vibrating column: and the whole column of air, instead of

vibrating as one, will vibrate as two columns, each column vibrating

with twice the velocity, and yielding harmonic sounds along with the

fundamental sound of the whole columns, in the same manner as we have

already explained with regard to vibrating strings. By opening other

holes we may subdivide a vibrating column into any number of smaller

vibrating columns. The holes in flutes, clarionets, &c. are made for

this purpose. When they are all closed up, the air vibrates in one

column; and by opening and shutting the different holes in succession,

the number of vibrating columns is increased or diminished at pleasure,

and consequently the harmonic sounds will vary in a similar manner.

Curious as these phenomena are, they are still surpassed by those

which are exhibited during the vibration of solid bodies. A rod or

bar of metal or glass may be made to vibrate either longitudinally or

laterally.

An iron rod will vibrate longitudinally, like a column of air, if we

strike it at one end in the direction of its length; or rub it in

the same direction with a wetted finger, and it will admit the same

fundamental note as a column of air _ten_ or _eleven_ times as long,

because sound moves so much faster in iron than in air. When the

iron rod is thus vibrating along its length, the very same changes

which we have shown in Fig. 41, as produced in a spiral spring, or

in a column of air, take place in the solid metal. All its particles

move alternately towards A and towards B, the metal being in the one

case condensed at the end to which the particles move, and expanded

at the end from which they move, and retaining its natural density

in the middle of the rod. If we now hold this rod in the middle, by

the finger and thumb lightly applied, and rub it in the middle either

of AB or BC with a piece of cloth sprinkled with powdered rosin,

or with a well-rosined fiddle-bow drawn across the rod, it will

divide itself into two vibrating portions AB, BC, each of which will

vibrate, as shown in Fig. 42, like the two adjacent columns of air,

the section of the rod, or the particles which compose that section

at B, being at perfect rest. By holding the rod at any intermediate

point between A and B, so that the distance from A to the finger and

thumb is one-third, one-fourth, one-fifth, &c. of the whole length AC,

and rubbing one of the divisions in the middle, the rod will divide

itself into 3, 4, 5, &c. vibrating portions, and give out corresponding

harmonic sounds.

[Illustration: _Fig. 43._]

A rod of iron may be made to vibrate laterally or transversely, by

fixing one end of it firmly, as in a vice, and leaving the other free,

or by having both ends free or both fixed. When a rod, fixed at one

end and free at the other, is made to vibrate, its mode of vibrating

may be rendered evident to the eye; and for the purpose of doing

this, Mr. Wheatstone has contrived a curious instrument, called the

_Kaleidophone_, which is shown in Fig. 43. It consists of a circular

base of wood AB, about _nine_ inches in diameter and one inch thick,

and having four brass sockets firmly fixed into it at C, D, E, and F.

Into these sockets are screwed four vertical steel rods C, D, E, and

F, about thirteen or fourteen inches long; one being a square rod,

another a bent cylindrical one, and the other two cylindrical ones of

different diameters. On the extremities of these rods are fixed small

quicksilvered glass beads, either singly or in groups, so that when

the instrument is placed in the light of the sun or in that of a lamp,

bright images of the sun or flame are seen reflected on each bead. If

any of these rods is set vibrating, these luminous images will form

continuous and returning curve lines in a state of constant variation,

each different rod giving curves of different characters, as shown in

Fig. 44.

[Illustration: _Fig. 44._]

The Melodion, an instrument of great power, embracing five octaves,

operates by means of the vibrations of metallic rods of unequal

lengths, fixed at one end and free at the other.[19] A narrow and thin

plate of copper is screwed to the free extremity of each rod, and at

right angles to its length; and its surface is covered with a small

piece of felt, impregnated with rosin. This narrow band is placed near

the circumference of a revolving cylinder, and, by touching the key,

it is made to descend till it touches the revolving cylinder, and

gives out its sound. The sweetness and power of this instrument are

unrivalled; and such is the character of its tones, that persons of a

nervous temperament are often entirely overpowered by its effects.

[19] See _Edinburgh Encyclopædia_, Art. SCIENCE, Curiosities in, Vol.

xvii., p. 563.

The vibrations of plates of metal or glass of various forms exhibit

a series of the most extraordinary phenomena, which are capable of

being shown by very simple means. These phenomena are displayed in an

infinite variety of regular figures assumed by sand or fine lycopodium

powder, strewed over the surface of the glass plate. In order to

produce these figures, we must pinch or damp the plate at one or more

places, and when the sand is strewed upon its surface, it is thrown

into vibrations by drawing a fiddle-bow over different parts of its

circumference. The method of damping or pinching plates is shown in

Fig. 45. In No. 1, a square plate of glass AB, ground smooth at its

edges, is pinched by the finger and thumb. In No. 2, a circular plate

is held by the thumb against the top _c_ of a perpendicular rod, and

damped by the fingers at two different points of its circumference.

In No. 3 it is damped at three points of its circumference; _c_ and

_d_ by the thumb and finger, and at _e_ by pressing it against a fixed

obstacle _a b_. By means of a clamp like that at No. 4, it may be

damped at a greater number of points.

[Illustration: _Fig. 45._

N^o 1 N^o 2

N^o 3 N^o 4

]

[Illustration: _Fig. 46._

N^o 1 N^o 2

N^o 3 N^o 4

]

If we take a _square_ plate of glass, such as that shown in Fig. 46,

No. 1, and, pinching it at its centre, draw the fiddle-bow near one of

its angles, the sand will accumulate in the form of a cross, as shown

in the figure, being thrown off the parts of the plate that are in a

state of vibration, and settling in the nodes or parts which are at

rest. If the bow is drawn across the middle of one of the edges, the

sand will accumulate as in No. 2. If the plate is pinched at N, No. 3,

and the bow applied at F and perpendicular to AB, the sand will arrange

itself in three parallel lines, perpendicular to a fourth passing

through F and N. But if the point N, where it is pinched, is a little

farther from the edge than in No. 3, the parallel lines will change

into curves as in No. 4.

If the plate of glass is circular, and pinched at its centre, and also

at a point of its circumference, and if the bow is applied at a point

45° from the last point, the figure of the sand will be as in Fig. 47,

No. 1. If with the same plate, similarly pinched, the bow is drawn over

a part 30° from the pinched point of the circumference, the sand will

form six radii as in No. 2. When the centre of the plate is left free,

a different set of figures is produced, as shown in No. 3 and No. 4.

When the plate is pinched near its edge, and the bow applied 45° from

the point pinched, a circle of sand will pass through that point, and

two diameters of sand, at right angles to each other, will be formed as

in No. 3. When a point of the circumference is pressed against a fixed

obstacle, and the bow applied 30° from that point, the figure in No. 4

is produced.

[Illustration: _Fig. 47._

No. 1. No. 2.

No. 3. No. 4.]

If, in place of a solid plate, we strew the sand over a stretched

membrane, the sand will form itself into figures, even when the

vibrations are communicated to the membrane through the air. In order

to make these experiments, we must stretch a thin sheet of wet paper,

such as vegetable paper, over the mouth of a tumbler-glass with a

footstalk, and fix it to the edges with glue. When the paper is dry, a

thin layer of dry sand is strewed upon its surface. If we place this

membrane upon a table, and hold immediately above it, and parallel

to the membrane, a plate of glass vibrating so as to give any of the

figures shown in Fig. 47, the sand upon the membrane will imitate

exactly the figure upon the glass. If the glass plate, in place of

vibrating horizontally, is made to vibrate in an inclined position, the

figures on the membrane will change with the inclination, and the sand

will assume the most curious arrangements. The figures thus produced

vary with the size of the membrane, with its material, its tension, and

its shape. When the same figure occurs several times in succession, a

breath upon the paper will change its degree of tension, and produce

an entirely new figure, which, as the temporary moisture evaporates,

will return to the original figure, through a number of intermediate

ones. The pipe of an organ at the distance of a few feet, or the notes

of a flute at the distance of half a foot, will arrange the sand on the

membrane into figures which perpetually change with the sound that is

produced.

The manner in which flat rulers and cylinders of glass perform their

vibrations is very remarkable. If a glass plate about twenty-seven

inches long, six-tenths of an inch broad, and six hundredths of an

inch thick, is held by the edges between the finger and thumb, and has

its lower surface, near either end, rubbed with a piece of wet cloth,

sand laid upon its upper surface will arrange itself in parallel lines

at right angles to the length of the plate. If the place of these lines

is marked with a dot of ink, and the other side of the glass ruler is

turned upwards, and the ruler made to vibrate as before, the sand will

now accumulate in lines intermediate between the former lines, so that

the motions of one-half the thickness of the glass ruler are precisely

the reverse of those of the corresponding parts of the other half.

As these singular phenomena have not yet been made available by the

scientific conjuror, we must be satisfied with this brief notice of

them; but there is still one property of sound, which has its analogy

also in light, too remarkable to be passed without notice. This

property has more of the marvellous in it than any result within the

wide range of the sciences. _Two loud sounds may be made to produce

silence, and two strong lights may be made to produce darkness!_

If two equal and similar strings, or the columns of air in two equal

and similar pipes, perform exactly 100 vibrations in a second,

they will produce each equal waves of sound, and these waves will

conspire in generating an uninterrupted sound, double of either of

the sounds, heard separately. If the two strings or the two columns

of air are not in unison, but nearly so, as in the case where the

one vibrates 100 and the other 101 times in a second, then at the

first vibration the two sounds will form one of double the strength

of either; but the one will gradually gain upon the other, till at

the fiftieth vibration it has gained half a vibration on the other.

At this instant the two sounds will _destroy one another_, and an

interval of perfect silence will take place. The sound will instantly

commence, and gradually increase till it becomes loudest at the

hundredth vibration, where the two vibrations conspire in producing

a sound double of either. An interval of silence will again occur at

the 150th, 250th, 350th vibration, or every second, while a sound of

double the strength of either will be heard at the 200th, 300th, and

400th vibration. When the unison is very defective, or when there is

a great difference between the number of vibrations which the two

strings or columns of air perform in a second, the successive sounds

and intervals of silence resemble a rattle. With a powerful organ, the

effect of this experiment is very fine, the repetition of the sounds

_wow_--_wow_--_wow_--representing the double sound and the interval

of silence which arise from the total extinction of the two separate

sounds.

The phenomenon corresponding to this in the case of light is perhaps

still more surprising. If a beam of _red_ light issues from a luminous

point, and falls upon the retina, we shall see distinctly the luminous

object from which it proceeds; but if another pencil of red light

issues from another luminous point, anyhow situated, provided the

difference between its distance and that of the other luminous point

from the point of the retina, on which the first beam fell, is the

258th thousandth part of an inch, or exactly _twice_, _thrice_, _four_

times, &c., that distance; and if this second beam falls upon the

same point of the retina, the one light will increase the intensity

of the other, and the eye will see _twice_ as much light as when it

received only one of the beams separately. All this is nothing more

than what might be expected from our ordinary experience. But if

the difference in the distances of the two luminous points is only

_one-half_ of the 258th thousandth part of an inch, or 1½, 2½, 3½,

4½, times that distance, _the one light will extinguish the other and

produce absolute darkness_. If the two luminous points are so situated,

that the difference of their distances from the point of the retina is

intermediate between 1 and 1½, or 2 and 2½, above the 258th thousandth

part of an inch, the intensity of the effect which they produce will

vary from absolute darkness to double the intensity of either light. At

1¼, 2¼, 3¼ times, &c., the 258th thousandth of an inch, the intensity

of the two combined lights will be equal only to one of them acting

singly. If the lights, in place of falling upon the retina, fall upon

a sheet of white paper, the very same effect will be produced, a black

spot being produced in the one case, and a bright white one in the

other, and intermediate degrees of brightness in intermediate cases. If

the two lights are _violet_, the difference of distances at which the

preceding phenomena will be produced will be the 157th thousandth part

of an inch, and it will be intermediate between the 258th and the 157th

thousandth part of an inch for the intermediate colours. This curious

phenomenon may be easily shown to the eye, by admitting the sun’s light

into a dark room through a small hole about the 40th or 50th part of

an inch in diameter, and receiving the light on a sheet of paper. If

we hold a needle or piece of slender wire in this light, and examine

its shadow, we shall find that the shadow consists of bright and dark

stripes succeeding each other alternately, the stripe in the very

middle or axis of the shadow being a bright one. The rays of light

which are bent into the shadow, and which meet in the very middle of

the shadow, have exactly the same length of path, so that they form a

bright fringe of double the intensity of either; but the rays which

fall upon a point of the shadow at a certain distance from the middle,

have a difference in the length of their paths, corresponding to the

difference at which the lights destroy each other, so that a _black_

stripe is produced on each side of the middle bright one. At a greater

distance from the middle, the difference becomes such as to produce a

bright stripe, and so on, a bright and a dark stripe succeeding each

other to the margin of the shadow.

The explanation which philosophers have given of these strange

phenomena is very satisfactory, and may be easily understood. When a

wave is made on the surface of a still pool of water, by plunging a

stone into it, the wave advances along the surface, while the water

itself is never carried forward, but merely rises into a height and

falls into a hollow, each portion of the surface experiencing an

elevation and a depression in its turn. If we suppose two waves equal

and similar to be produced by two separate stones, and if they reach

the same spot at the same time, that is, if the two elevations should

exactly coincide, they would unite their effects, and produce a

wave twice the size of either; but if the one wave should be just so

far before the other, that the hollow of the one coincided with the

elevation of the other, and the elevation of the one with the hollow

of the other, the two waves would obliterate or destroy one another,

the elevation as it were of the one filling up half the hollow of the

other, and the hollow of the one taking away half the elevation of the

other, so as to reduce the surface to a level. These effects will be

actually exhibited by throwing two equal stones into a pool of water,

and it will be seen that there are certain lines of a hyperbolic form

where the water is quite smooth, in consequence of the equal waves

obliterating one another, while, in other adjacent parts, the water is

raised to a height corresponding to both the waves united.

In the tides of the ocean we have a fine example of the same principle.

The two immense waves arising from the action of the sun and moon upon

the ocean produce our spring-tides by their combination, or when the

elevations of each coincide; and our neap-tides, when the elevation of

the one wave coincides with the depression of the other. If the sun and

moon had exerted exactly the same force upon the ocean, or produced

tide waves of the same size, then our neap-tides would have disappeared

altogether, and the spring-tide would have been a wave double of the

wave produced by the sun and moon separately. An example of the effect

of the equality of the two waves occurs in the port of Batsha, where

the two waves arrive by channels of different lengths, and actually

obliterate each other.

Now, as sound is produced by undulations or waves in the air, and

as light is supposed to be produced by waves or undulations in an

ethereal medium, filling all nature, and occupying the pores of

transparent bodies, the successive production of sound and silence by

two loud sounds, or of light and darkness by two bright lights, may be

explained in the very same manner as we have explained the increase

and the obliteration of waves formed on the surface of water. If this

theory of light be correct, then the breadth of a wave of _red_ light

will be the 258th thousandth part of an inch, the breadth of a wave of

green light the 207th thousandth part of an inch, and the breadth of a

wave of violet light the 157th thousandth part of an inch.

Among the wonders of modern skill, we must enumerate those beautiful

automata by which the motions and actions of man and other animals have

been successfully imitated. I shall therefore describe at present some

of the most remarkable acoustic automata, in which the production of

musical and vocal sounds has been the principal object of the artist.

Many very ingenious pieces of acoustic mechanism have been from time to

time exhibited in Europe. The celebrated Swiss mechanist, M. le Droz,

constructed for the King of Spain the figure of a sheep, which imitated

in the most perfect manner the bleating of that animal; and likewise

the figure of a dog watching a basket of fruit, which, when any of the

fruit was taken away, never ceased barking till it was replaced.

The singing-bird of M. Maillardet, which he exhibited in Edinburgh

many years ago, is still more wonderful.[20] An oval box, about three

inches long, was set upon the table, and in an instant the lid flew up,

and a bird of the size of the humming-bird, and of the most beautiful

plumage, started from its nest. After fluttering its wings, it opened

its bill and performed four different kinds of the most beautiful

warbling. It then darted down into its nest, and the lid closed upon

it. The moving power in this piece of mechanism is said to have been

springs which continued their action only four minutes. As there was

no room within so small a figure for accommodating pipes to produce

the great variety of notes which were warbled, the artist used only

one tube, and produced all the variety of sounds by shortening and

lengthening it with a moveable piston.

[20] A similar piece of mechanism had been previously made by M. le

Droz.

Ingenious as these pieces of mechanism are, they sink into

insignificance when compared with the machinery of M. Vaucanson, which

had previously astonished all Europe. His two principal automata were

the flute-player, and the pipe and tabor-player. The flute-player

was completed in 1736, and wherever it was exhibited it produced the

greatest sensation. When it came to Paris it was received with great

suspicion. The French savants recollected the story of M. Raisin,

the organist of Troyes, who exhibited an automaton player upon the

harpsichord, which astonished the French court by the variety of

its powers. The curiosity of the king could not be restrained, and

in consequence of his insisting upon examining the mechanism, there

was found in the figure a pretty little musician five years of age.

It was natural, therefore, that a similar piece of mechanism should

be received with some distrust; but this feeling was soon removed

by M. Vaucanson, who exhibited and explained to a committee of the

Academy of Sciences the whole of the mechanism. This learned body

was astonished at the ingenuity which it displayed; and they did not

hesitate to state, that the machinery employed for producing the sounds

of the flute performed in the most exact manner the very operations

of the most expert flute-player, and that the artist had imitated the

effects produced, and the means employed by nature, with an accuracy

which exceeded all expectation. In 1738, M. Vaucanson published a

memoir, approved of by the Academy, in which he gave a full description

of the machinery employed, and of the principles of its construction.

Following this memoir, I shall therefore attempt to give as popular a

description of the automaton as can be done without lengthened details

and numerous figures.

The body of the flute-player was about 5½ feet high, and was placed

upon a piece of rock, surrounding a square pedestal 4½ feet high by 3½

feet wide. When the panel which formed the front of the pedestal was

opened, there was seen on the right a clock movement, which, by the

aid of several wheels, gave a rotatory motion to a steel axis about

2½ feet long, having cranks at six equidistant points of its length,

but lying in different directions. To each crank was attached a cord,

which descended and was fixed by its other end to the upper board of a

pair of bellows, 2½ feet long and 6 inches wide. Six pair of bellows

arranged along the bottom of the pedestal were then wrought, or made to

blow in succession, by turning the steel axis.

At the upper face of the pedestal, and upon each pair of bellows is a

double pulley, one of whose rims is 3 inches in diameter, and the other

1½. The cord which proceeds from the crank coils round the smaller

of these pulleys, and that which is fixed to the upper board of the

bellows goes round the larger pulley. By this means the upper board of

the bellows is made to rise higher than if the cords went directly from

them to the cranks.

Round the larger rims of three of these pulleys, viz. those on the

right hand, there are coiled three cords, which, by means of several

smaller pulleys, terminate in the upper boards of other three pair of

bellows placed on the top of the box.

The tension of each cord when it begins to raise the board of the

bellows to which it is attached, gives motion to a lever placed above

it between the axis and the double pulley in the middle and lower

region of the box. The other end of this lever keeps open the valve in

the lower board of the bellows, and allows the air to enter freely,

while the upper board is rising to increase the capacity of the

bellows. By this means there is not only power gained, in so far as the

air gains easier admission through the valve, but the fluttering noise

produced by the action of the air upon the valves is entirely avoided,

and the nine pair of bellows are wrought with great ease, and without

any concussion or noise.

These nine bellows discharge their wind into three different and

separate tubes. Each tube receives the wind of three bellows, the upper

boards of one of the three pair being loaded with a weight of four

pounds, those of the second three pair with a weight of two pounds,

and those of the other three pair with no weight at all. These three

tubes ascended through the body of the figure and terminated in three

small reservoirs placed in its trunk. These reservoirs were thus united

into one, which, ascending into the throat, formed by its enlargement

the cavity of the mouth terminated by two small lips, which rested

upon the whole of the flute. These lips had the power of opening more

or less, and by a particular mechanism, they could advance or recede

from the hole in the flute. Within the cavity of the mouth there is a

small moveable tongue for opening and shutting the passage for the wind

through the lips of the figure.

The motions of the fingers, lips, and tongue of the figure were

produced by means of a revolving cylinder, thirty inches long and

twenty-one in diameter. By means of pegs and brass staples fixed in

fifteen different divisions in its circumference, fifteen different

levers, similar to those in a barrel organ, were raised and depressed.

Seven of these regulated the motions of the seven fingers for stopping

the holes of the flute, which they did by means of steel chains rising

through the body, and directed by pulleys to the shoulder, elbow, and

fingers. Other three of the levers communicating with the valves of the

three reservoirs, regulated the ingress of the air, so as to produce a

stronger or a weaker tone. Another lever opened the lips so as to give

a free passage to the air, and another contracted them for the opposite

purpose. A third lever drew them backwards from the orifice of the

flute, and a fourth pushed them forward. The remaining lever enabled

the tongue to stop up the orifice of the flute.

Such is a very brief view of the general mechanism by which the

requisite motions of the flute-player were produced. The airs which it

played were probably equal to those executed by a living performer, and

its construction, as well as its performances, continued for many years

to delight and astonish the philosophers and musicians of Europe.

Encouraged by the success of this machine, M. Vaucanson exhibited in

1741 other automata, which were equally, if not more, admired. One of

these was the automaton duck, which performed all the motions of that

animal, and not only ate its food, but digested it;[21] and the other

was his pipe and tabor-player, a piece of mechanism which required

all the resources of his fertile genius. Having begun this machine

before he was aware of its peculiar difficulties, he was often about

to abandon it in despair, but his patience and his ingenuity combined,

enabled him not only to surmount every difficulty, but to construct an

automaton which performed complete airs, and greatly excelled the most

esteemed performers on the pipe and tabor.

[21] See Letter XI.

The figure stands on a pedestal, and is dressed like a dancing

shepherd. He holds in one hand a flageolet, and in the other the stick

with which he beats the tambourine as an accompaniment to the airs of

the flageolet, about twenty of which it is capable of performing. The

flageolet has only three holes, and the variety of its tones depends

principally on a proper variation of the force of the wind, and on the

different degrees with which the orifices are covered. These variations

in the force of the wind required to be given with a rapidity which

the ear can scarcely follow, and the articulation of the tongue was

required for the quickest notes, otherwise the effect was far from

agreeable. As the human tongue is not capable of giving the requisite

articulations to a rapid succession of notes, and generally slurs

over one-half of them, the automaton was thus able to excel the best

performers, as it played complete airs with articulations of the tongue

at every note.

In constructing this machine, M. Vaucanson observed that the flageolet

must be a most fatiguing instrument for the human lungs, as the muscles

of the chest must make an effort equal to fifty-six pounds in order to

produce the highest notes. A single ounce was sufficient for the lowest

notes: so that we may, from this circumstance, form an idea of the

variety of intermediate effects required to be produced.

While M. Vaucanson was engaged in the construction of these wonderful

machines, his mind was filled with the strange idea of constructing

an automaton containing the whole mechanism of the circulation of

the blood. From some birds which he made, he was satisfied of its

practicability; but as the whole vascular system required to be made

of elastic gum or caoutchouc, it was supposed that it could only be

executed in the country where the caoutchouc tree was indigenous.

Louis XVI. took a deep interest in the execution of this machine.

It was agreed that a skilful anatomist should proceed to Guiana to

superintend the construction of the blood-vessels, and the king

had not only approved of, but had given orders for, the voyage.

Difficulties, however, were thrown in the way, Vaucanson became

disgusted, and the scheme was abandoned.

The two automata which we have described were purchased by Professor

Bayreuss of Helmstadt; but we have not been able to learn whether or

not they still exist.

[Illustration: _Fig. 48._]

Towards the end of the eighteenth century a bold and almost successful

attempt was made to construct a _talking automaton_. In the year 1779,

the Imperial Academy of Sciences at St. Petersburgh proposed, as the

subject of one of their annual prizes, an inquiry into the nature

of the vowel sounds, A, E, I, O, and U, and the construction of an

instrument for artificially imitating them. This prize was gained by

M. Kratzenstein, who showed that all the vowels could be distinctly

pronounced by blowing through a reed into the lower ends of the pipes

of the annexed figures, as shown in Fig. 48, where the corresponding

vowels are marked on the different pipes. The vowel I is pronounced by

merely blowing into the pipe _a b_, of the pipe marked I, without the

use of a reed.

[Illustration: _Fig. 49._]

About the same time that Kratzenstein was engaged in these researches,

M. Kempelen of Vienna, a celebrated mechanician, was occupied with the

same subject. In his first attempt he produced the vowel sounds, by

adapting a reed R, Fig. 49, to the bottom of a funnel-shaped cavity

A B, and placing his hand in various positions within the funnel.

This contrivance, however, was not fitted for his purpose, but after

long study, and a diligent examination of the organs of speech, he

contrived a hollow oval box, divided into two portions attached by a

hinge so as to resemble jaws. This box received the sound which issued

from the tube connected with the reed, and by opening and closing the

jaws, he produced the sounds, A, O, OU, and an imperfect E, but no

indications of an I. After two years’ labour he succeeded in obtaining

from different jaws the sounds of the consonants P, M, L, and by means

of these vowels and consonants, he could compose syllables and words,

such as _mama_, _papa_, _aula_, _lama_, _mulo_. The sounds of two

adjacent letters, however, ran into each other, and an aspiration

followed some of the consonants; so that, instead of _papa_, the word

sounded _phaa-ph-a_; these difficulties he contrived with much labour

to surmount, and he found it necessary to imitate the human organs of

speech by having only one mouth and one glottis. The mouth consisted

of a funnel, or bell-shaped piece of elastic gum, which approximated,

by its physical properties, to the softness and flexibility of the

human organs.[22] To the mouth-piece was added a nose made of two tin

tubes, which communicated with the mouth. When both these tubes were

open, and the mouth-piece closed, a perfect M was produced; and when

one was closed and the other open, an N was sounded. M. Kempelen could

have succeeded in obtaining the four letters D, G, K, T, but, by using

a P instead of them, and modifying the sound in a particular manner,

he contrived to deceive the ear by a tolerable resemblance of these

letters.

[22] Had M. Kempelen known the modern discovery of giving glue any

degree of softness, by mixing it with molasses or sugar, which is

always absorbing moisture from the atmosphere, he might have obtained

a still more perfect imitation of the human organs.

There seems to be no doubt that he at last was able to produce entire

words and sentences, such as _opera_, _astronomy_, _Constantinopolis_,

_Vous êtes mon ami, Je vous aime de tout mon cœur, Venez avec moi à

Paris, Leopoldus secundus, Romanorum imperator semper Augustus_, &c.,

but he never fitted up a speaking figure; and probably, from being

dissatisfied with the general result of his labours, he exhibited only

to his private friends the effects of the apparatus, which was fitted

up in the form of a box.

This box was rectangular, and about three feet long, and was placed

upon a table, and covered with a cloth. When any particular word was

mentioned by the company, M. Kempelen caused the machine to pronounce

it, by introducing his hands beneath the cloth, and apparently giving

motion to some parts of the apparatus. Mr. Thomas Collinson, who had

seen this machine in London, mentions, in a letter to Dr. Hutton, that

he afterwards saw it at M. Kempelen’s own house in Vienna, and that he

then gave it the same word to be pronounced which he gave it in London,

viz. the word _Exploitation_, which, he assures us, it again distinctly

pronounced with the French accent.

M. Kratzenstein seems to have been equally unsuccessful; for though he

assured M. de Lalande, when he saw him in Paris, in 1786, that he had

made a machine which could speak pretty well, and though he showed him

some of the apparatus by which it could sound the vowels, and even such

syllables as _papa_ and _mama_, yet there is no reason to believe that

he had accomplished more than this.

The labours of Kratzenstein and Kempelen have been recently pursued

with great success by our ingenious countryman, Mr. Willis, of

Cambridge. In repeating Kempelen’s experiment, shown in Fig. 49, he

used a shallower cavity, such as that in Fig. 50, and found that he

could entirely dispense with the introduction of the hand, and could

obtain the whole series of vowels by sliding a flat board C D over the

mouth of the cavity. Mr. Willis then conceived the idea of adapting to

the reed cylindrical tubes, whose length could be varied by sliding

joints. When the tube was greatly less than the length of a stopped

pipe in unison with the reed, it sounded I, and by increasing the

length of the tube, it gave E, A, O, and U, in succession. But what was

very unexpected, when the tube was so much lengthened as to be 1½ times

the length of a stopped pipe in unison with the reed, the vowels began

to be again sounded in an inverted order, viz. U, O, A, E, and then

again in a direct order, I, E, A, O, U, when the length of the tube was

equal to twice that of a stopped pipe, in unison with the reed.

[Illustration: _Fig. 50._]

Some important discoveries have been recently made by M. Savart

respecting the mechanism of the human voice;[23] and we have no doubt

that, before another century is completed, a _Talking_ and a _Singing

machine_ will be numbered among the conquests of Science.

[23] See _Edinburgh Journal of Science_, No. viii., p. 200.

Letters on Natural Magic; Addressed to Sir Walter Scott, Bart. · 第 35 / 133 题