The Ten Books on Architecture Part 12

CHAPTER V

SOUNDING VESSELS IN THE THEATRE

1. In accordance with the foregoing investigations on mathematical principles, let bronze vessels be made, proportionate to the size of the theatre, and let them be so fas.h.i.+oned that, when touched, they may produce with one another the notes of the fourth, the fifth, and so on up to the double octave. Then, having constructed niches in between the seats of the theatre, let the vessels be arranged in them, in accordance with musical laws, in such a way that they nowhere touch the wall, but have a clear s.p.a.ce all round them and room over their tops. They should be set upside down, and be supported on the side facing the stage by wedges not less than half a foot high. Opposite each niche, apertures should be left in the surface of the seat next below, two feet long and half a foot deep.

2. The arrangement of these vessels, with reference to the situations in which they should be placed, may be described as follows. If the theatre be of no great size, mark out a horizontal range halfway up, and in it construct thirteen arched niches with twelve equal s.p.a.ces between them, so that of the above mentioned "echea" those which give the note nete hyperbolaeon may be placed first on each side, in the niches which are at the extreme ends; next to the ends and a fourth below in pitch, the note nete diezeugmenon; third, paramese, a fourth below; fourth, nete synhemmenon; fifth, mese, a fourth below; sixth, hypate meson, a fourth below; and in the middle and another fourth below, one vessel giving the note hypate hypaton.

3. On this principle of arrangement, the voice, uttered from the stage as from a centre, and spreading and striking against the cavities of the different vessels, as it comes in contact with them, will be increased in clearness of sound, and will wake an harmonious note in unison with itself.

But if the theatre be rather large, let its height be divided into four parts, so that three horizontal ranges of niches may be marked out and constructed: one for the enharmonic, another for the chromatic, and the third for the diatonic system. Beginning with the bottom range, let the arrangement be as described above in the case of a smaller theatre, but on the enharmonic system.

[Ill.u.s.tration]

4. In the middle range, place first at the extreme ends the vessels which give the note of the chromatic hyperbolaeon; next to them, those which give the chromatic diezeugmenon, a fourth below; third, the chromatic synhemmenon; fourth, the chromatic meson, a fourth below; fifth, the chromatic hypaton, a fourth below; sixth, the paramese, for this is both the concord of the fifth to the chromatic hyperbolaeon, and the concord[8] of the chromatic synhemmenon.

[Note 8: Codd. _diatessaron_, which is impossible, paramese being the concord of the fourth to the chromatic meson, and identical with the chromatic synhemmenon.]

5. No vessel is to be placed in the middle, for the reason that there is no other note in the chromatic system that forms a natural concord of sound.

In the highest division and range of niches, place at the extreme ends vessels fas.h.i.+oned so as to give the note of the diatonic hyperbolaeon; next, the diatonic diezeugmenon, a fourth below; third, the diatonic synhemmenon; fourth, the diatonic meson, a fourth below; fifth, the diatonic hypaton, a fourth below; sixth, the proslambanomenos, a fourth below; in the middle, the note mese, for this is both the octave to proslambanomenos, and the concord of the fifth to the diatonic hypaton.

6. Whoever wishes to carry out these principles with ease, has only to consult the scheme at the end of this book, drawn up in accordance with the laws of music. It was left by Aristoxenus, who with great ability and labour cla.s.sified and arranged in it the different modes. In accordance with it, and by giving heed to these theories, one can easily bring a theatre to perfection, from the point of view of the nature of the voice, so as to give pleasure to the audience.

7. Somebody will perhaps say that many theatres are built every year in Rome, and that in them no attention at all is paid to these principles; but he will be in error, from the fact that all our public theatres made of wood contain a great deal of boarding, which must be resonant. This may be observed from the behaviour of those who sing to the lyre, who, when they wish to sing in a higher key, turn towards the folding doors on the stage, and thus by their aid are reinforced with a sound in harmony with the voice. But when theatres are built of solid materials like masonry, stone, or marble, which cannot be resonant, then the principles of the "echea" must be applied.

8. If, however, it is asked in what theatre these vessels have been employed, we cannot point to any in Rome itself, but only to those in the districts of Italy and in a good many Greek states. We have also the evidence of Lucius Mummius, who, after destroying the theatre in Corinth, brought its bronze vessels to Rome, and made a dedicatory offering at the temple of Luna with the money obtained from the sale of them. Besides, many skilful architects, in constructing theatres in small towns, have, for lack of means, taken large jars made of clay, but similarly resonant, and have produced very advantageous results by arranging them on the principles described.

CHAPTER VI

PLAN OF THE THEATRE

1. The plan of the theatre itself is to be constructed as follows.

Having fixed upon the princ.i.p.al centre, draw a line of circ.u.mference equivalent to what is to be the perimeter at the bottom, and in it inscribe four equilateral triangles, at equal distances apart and touching the boundary line of the circle, as the astrologers do in a figure of the twelve signs of the zodiac, when they are making computations from the musical harmony of the stars. Taking that one of these triangles whose side is nearest to the scaena, let the front of the scaena be determined by the line where that side cuts off a segment of the circle (A-B), and draw, through the centre, a parallel line (C-D) set off from that position, to separate the platform of the stage from the s.p.a.ce of the orchestra.

2. The platform has to be made deeper than that of the Greeks, because all our artists perform on the stage, while the orchestra contains the places reserved for the seats of senators. The height of this platform must be not more than five feet, in order that those who sit in the orchestra may be able to see the performances of all the actors. The sections (cunei) for spectators in the theatre should be so divided, that the angles of the triangles which run about the circ.u.mference of the circle may give the direction for the flights of steps between the sections, as far as up to the first curved cross-aisle. Above this, the upper sections are to be laid out, midway between (the lower sections), with alternating pa.s.sage-ways.

3. The angles at the bottom, which give the directions for the flights of steps, will be seven in number (C, E, F, G, H, I, D); the other five angles will determine the arrangement of the scene: thus, the angle in the middle ought to have the "royal door" (K) opposite to it; the angles to the right and left (L, M) will designate the position of the doors for guest chambers; and the two outermost angles (A, B) will point to the pa.s.sages in the wings. The steps for the spectators' places, where the seats are arranged, should be not less than a foot and a palm in height, nor more than a foot and six fingers; their depth should be fixed at not more than two and a half feet, nor less than two feet.

[Ill.u.s.tration: THE ROMAN THEATRE ACCORDING TO VITRUVIUS]

4. The roof of the colonnade to be built at the top of the rows of seats, should lie level with the top of the "scaena," for the reason that the voice will then rise with equal power until it reaches the highest rows of seats and the roof. If the roof is not so high, in proportion as it is lower, it will check the voice at the point which the sound first reaches.

5. Take one sixth of the diameter of the orchestra between the lowest steps, and let the lower seats at the ends on both sides be cut away to a height of that dimension so as to leave entrances (O, P). At the point where this cutting away occurs, fix the soffits of the pa.s.sages. Thus their vaulting will be sufficiently high.

6. The length of the "scaena" ought to be double the diameter of the orchestra. The height of the podium, starting from the level of the stage, is, including the corona and cymatium, one twelfth of the diameter of the orchestra. Above the podium, the columns, including their capitals and bases, should have a height of one quarter of the same diameter, and the architraves and ornaments of the columns should be one fifth of their height. The parapet above, including its cyma and corona, is one half the height of the parapet below. Let the columns above this parapet be one fourth less in height than the columns below, and the architraves and ornaments of these columns one fifth of their height. If the "scaena" is to have three stories, let the uppermost parapet be half the height of the intermediate one, the columns at the top one fourth less high than the intermediate, and the architraves and coronae of these columns one fifth of their height as before.

[Ill.u.s.tration: _From Durm_

THE THEATRE AT ASPENDUS]

7. It is not possible, however, that in all theatres these rules of symmetry should answer all conditions and purposes, but the architect ought to consider to what extent he must follow the principle of symmetry, and to what extent it may be modified to suit the nature of the site or the size of the work. There are, of course, some things which, for utility's sake, must be made of the same size in a small theatre, and a large one: such as the steps, curved cross-aisles, their parapets, the pa.s.sages, stairways, stages, tribunals, and any other things which occur that make it necessary to give up symmetry so as not to interfere with utility. Again, if in the course of the work any of the material fall short, such as marble, timber, or anything else that is provided, it will not be amiss to make a slight reduction or addition, provided that it is done without going too far, but with intelligence. This will be possible, if the architect is a man of practical experience and, besides, not dest.i.tute of cleverness and skill.

8. The "scaena" itself displays the following scheme. In the centre are double doors decorated like those of a royal palace. At the right and left are the doors of the guest chambers. Beyond are s.p.a.ces provided for decoration--places that the Greeks call [Greek: periaktoi], because in these places are triangular pieces of machinery ([Greek: D, D]) which revolve, each having three decorated faces. When the play is to be changed, or when G.o.ds enter to the accompaniment of sudden claps of thunder, these may be revolved and present a face differently decorated.

Beyond these places are the projecting wings which afford entrances to the stage, one from the forum, the other from abroad.

9. There are three kinds of scenes, one called the tragic, second, the comic, third, the satyric. Their decorations are different and unlike each other in scheme. Tragic scenes are delineated with columns, pediments, statues, and other objects suited to kings; comic scenes exhibit private dwellings, with balconies and views representing rows of windows, after the manner of ordinary dwellings; satyric scenes are decorated with trees, caverns, mountains, and other rustic objects delineated in landscape style.

CHAPTER VII

GREEK THEATRES

1. In the theatres of the Greeks, these same rules of construction are not to be followed in all respects. First, in the circle at the bottom where the Roman has four triangles, the Greek has three squares with their angles touching the line of circ.u.mference. The square whose side is nearest to the "scaena," and cuts off a segment of the circle, determines by this line the limits of the "proscaenium" (A, B). Parallel to this line and tangent to the outer circ.u.mference of the segment, a line is drawn which fixes the front of the "scaena" (C-D). Through the centre of the orchestra and parallel to the direction of the "proscaenium," a line is laid off, and centres are marked where it cuts the circ.u.mference to the right and left (E, F) at the ends of the half-circle. Then, with the compa.s.ses fixed at the right, an arc is described from the horizontal distance at the left to the left hand side of the "proscaenium" (F, G); again with the centre at the left end, an arc is described from the horizontal distance at the right to the right hand side of the "proscaenium" (E, H).

2. As a result of this plan with three centres, the Greeks have a roomier orchestra, and a "scaena" set further back, as well as a stage of less depth. They call this the [Greek: logeion], for the reason that there the tragic and comic actors perform on the stage, while other artists give their performances in the entire orchestra; hence, from this fact they are given in Greek the distinct names "Scenic" and "Thymelic." The height of this "logeum" ought to be not less than ten feet nor more than twelve. Let the ascending flights of steps between the wedges of seats, as far up as the first curved cross-aisle, be laid out on lines directly opposite to the angles of the squares. Above the cross-aisle, let other flights be laid out in the middle between the first; and at the top, as often as there is a new cross-aisle, the number of flights of steps is always increased to the same extent.

[Ill.u.s.tration: THE GREEK THEATRE ACCORDING TO VITRUVIUS]

CHAPTER VIII

ACOUSTICS OF THE SITE OF A THEATRE

1. All this having been settled with the greatest pains and skill, we must see to it, with still greater care, that a site has been selected where the voice has a gentle fall, and is not driven back with a recoil so as to convey an indistinct meaning to the ear. There are some places which from their very nature interfere with the course of the voice, as for instance the dissonant, which are termed in Greek [Greek: katechountes]; the circ.u.msonant, which with them are named [Greek: periechountes]; again the resonant, which are termed [Greek: antechountes]; and the consonant, which they call [Greek: synechountes].

The dissonant are those places in which the first sound uttered that is carried up high, strikes against solid bodies above, and, being driven back, checks as it sinks to the bottom the rise of the succeeding sound.

2. The circ.u.msonant are those in which the voice spreads all round, and then is forced into the middle, where it dissolves, the case-endings are not heard, and it dies away there in sounds of indistinct meaning. The resonant are those in which it comes into contact with some solid substance and recoils, thus producing an echo, and making the terminations of cases sound double. The consonant are those in which it is supported from below, increases as it goes up, and reaches the ears in words which are distinct and clear in tone. Hence, if there has been careful attention in the selection of the site, the effect of the voice will, through this precaution, be perfectly suited to the purposes of a theatre.

The drawings of the plans may be distinguished from each other by this difference, that theatres designed from squares are meant to be used by Greeks, while Roman theatres are designed from equilateral triangles.

Whoever is willing to follow these directions will be able to construct perfectly correct theatres.

CHAPTER IX

COLONNADES AND WALKS