Ten Books on Architecture/Book III

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Book III [edit]

Page 69
Page 72
Page 75
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Page 86
Page 90







SCAMILLI IMPARES (BOOK III, ch. 4)


    No passage in Vitruvius has given rise to so much discussion or
    been the subject of such various interpretations as this phrase.
    The most reasonable explanation of its meaning seems to be that of
    Émile Burnouf, at one time Director of the French School at Athens,
    published in the _Revue Générale del' Architecture_ for 1875, as a
    note to a brief article of his on the explanation of the curves of
    Greek Doric buildings. This explanation was accepted by Professor
    Morgan, who called my attention to it in a note dated December 12,
    1905. It has also quite recently been adopted by Professor Goodyear
    in his interesting book on _Greek Refinements_.
    Burnouf would translate it _nivelettes inégales_, "unequal
    levellers." He states that in many parts of France in setting a
    long course of cut stone the masons make use of a simple device
    consisting of three pointed blocks of equal height used as
    levellers, of which two are placed one at each extremity of the
    course, while the third is used to level the stones, as they are
    successively set in place, by setting it upon the stone to be set
    and sighting across the other two levellers. If two "levellers" of
    equal height are used with a third of less height placed at the
    centre of the course, with perhaps others of intermediate height
    used at intermediate points, it would obviously be equally easy to
    set out a curved course, as, for instance, the curved stylobate of
    the Parthenon which rises about three inches in its length of one
    hundred feet. By a simple calculation any desired curve could be
    laid out in this way. The word scamillus is a diminutive of
    _scamnum_, a mounting-block or bench.
    Practically the same explanation is given by G. Georges in a memoir
    submitted to the Sorbonne in April, 1875. Georges adds an
    interesting list, by no means complete, of the various explanations
    that have been offered at different times.

Philander (1522-1552). Projections of the stylobate or pedestals.

Barbaro (1556-1690). The same.

Bertano (1558). Swellings of the die of the stylobate or bosses

                      in the stylobate or the frieze of the
                      entablature.

Baldus (1612). Sub-plinths placed under the bases of the columns.

Perrault (1673-1684). Projection of the stylobate.

Polleni (1739). The same.

Galiani (1758-1790). Projection of the stylobate with hypothesis of

                      embossments on the stylobates and the bases of
                      the columns.

Tardieu and Coussin (1837) and Mauffras (1847). Projection of the stylobates.

Aurès (1865). Steps or offsets between the stylobate and the columns.

    The list of Georges is wholly French and Italian.
    Fra Giocondo's interpretation is indicated in our reproduction of
    the illustration in his edition of 1511.
    Hoffer (1838) and afterwards Pennethorne (1846) and Penrose (1851)
    gave measurements showing the curvatures in the Parthenon and the
    temple of Theseus in Athens. Penrose and most writers who followed
    him supposed the "scamilli impares" to be projections or offsets on
    the stylobate required on account of the curves to bring the column
    into relation with the architraves above, and similar offsets of
    unequal or sloping form were supposed to be required above the
    abaci of the capitals, but such offsets, although sometimes
    existing, have no obvious connection with the passage in Vitruvius.
    C. Bötticher (1863) and more recently Durm have denied the original
    intention of the curves and ascribe them to settlement, a
    supposition which hardly accords with the observed facts. Reber, in
    the note on this passage in his translation of Vitruvius (1865),
    thinks the scamilli were sloping offsets on the stylobate to cause
    the inclination of the columns, but admits that nothing of the kind
    has been found in the remains so far examined. It may be added that
    this is at variance with the statement of the purpose of the
    scamilli which Vitruvius gives.
    Assuming, as I think we must, that the horizontal curvature of the
    stylobate in such buildings as the Parthenon was intended and
    carefully planned, Burnouf's explanation fits the case precisely
    and makes this passage of Vitruvius straightforward and simple.
    This can be said of no other explanation, for all the others leave
    the passage obscure and more or less nonsensical. Durm's attempt to
    refer the passage to the case of the temple with a podium which has
    just been spoken of by Vitruvius is somewhat forced, or at least
    unnecessary. Clearly the passage refers to stylobates in general;
    but Reber also so translates and punctuates as to make the use of
    the "scamilli impares" refer only to the case of temples built in
    the Roman manner with the podium. His resulting explanation still
    leaves the passage obscure and unsatisfactory. One may finally
    refer to the ingenious but improbable explanation of Choisy, who
    translates it echelons impairs, and explains them as offsets
    arranged according to the odd numbers, _nombres impairs_, i. e.,
    offsets varying at equal intervals in the proportion of 1, 3, 5, 7,
    9, etc., and which he claims was applied also to the entasis of
    columns.
    H. L. WARREN.