
Greek Doric Temples
Greek Doric Temple Proportions
"I will…proceed to explain the method of using the Doric order as instructed by my masters; [so] that if any one desire it, he will here find the proportions detailed, and so amended, that he may, without a defect, be able to design a sacred building of the Doric order."
[Vitruvius IV,3,3]
Vitruvious [De arch. 4.3.3] wrote that he could dictate the proportional formula for constructing Doric Temples based on a modular system determined by the spaces between columns. He very clearly describes the various temple styles in his Ten Books on Architecture, specifically mentioning DIASTYLE (intercolumniations three times the column base), and SYSTYLE (intercolumniations two times that of the column base), and PYCNOSTYLE (intercolumniations one and a half times the lower column diameter) structures. Having taken his proportional scheme from local Roman structures, his thinking must have been that the formula applied equally to them as well as those from Greece. In fact, he may never have had possessed this information since his results show he used Roman models to make his prediction for the design of Greek temples, an enormously glaring oversight. Whether by design or neglect, he omits his proportional formula for PYCNOSTYLE temples; structures that comprise the bulk of the peripteral Greek Doric temple design, and are central to the temple issue. The fact that Vitruvius failed to assign a proportional formula for Pycnostyle temples may indicate that he did not know one. Thus, rather than a modular classification that works for actual Greek structures, Vitruvius bequeathed only the description of a style. This omission in Vitruvius’ architectural pastiche, however, has not daunted generations of researchers [Adams, J.P., (RA 1973:219-236); Amandry, P., (Hesperia 21 1952:242); Bell, M., (RA 45-46 1955:121); Coulton, J.J., (BSA 69 1974:61-87; BSA 70 1975:59-99; AJA 82 1978:151-160); Wurster, W.W., (AA 1973:200-211)] from reworking his old figures, and molding their research on some form of modular system and exploring the Vitruvian Doric Temple proportional model in an attempt to recreate a solutions to his missing formula.
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Subsequently, previous attempts to explain Doric temple proportional modeling have simply re-applied the modular concept first laid down by Vitruvius. The modules he outlines were merely sub-multiples of the larger temple relationship. What he was attempting to express was the ratio, or quantitative comparison, between linear measurements. Vitruvius obviously knows of a Doric temple proportional phenomena, stating that he had learned it from his masters, although could not, as it turns out, reproduce it accurately himself. As D. S. Robertson [1940:153] points out, Hermogenes, a 3rd cent. B.C. architect, “…was the principal master of Vitruvius.” Vitruvius, it seems, directly channeled the ideas of Hermogenes to his own writings, although Hermogenes may not have revealed the prevailing temple proportional secret him.
Subsequently, Doric Temple classifications put forth by a Vitruvian framework, define Doric temple with conventional intuitive identifications, relying on descriptive and subjective identifications rather than quantification of the data sets. For example, when a temple is referred to by ancient authors like Pausanias as Doric, an image of that structure is immediately registered against all other structures like it, and forms a crystal clear image of what that building looks like. But what attributes are there that makes that model so clearly defined? Certainly there are basic elements that make up a Doric temple and shape the style, but what are they? That is the overriding question. Researchers, therefore, continue to scout for a mathematical “canon” that predicts the proportions of Doric Temples laid down by Vitruvius, which have up till now produced no practical formula. We are, therefore, left with the unfortunate consequence expressed by Berve and Gruben who writes: "The goal, the idea of the 'perfect temple,' which appeared indistinctly to the architects of the sixth and fifth centuries…were developed, principally to do with the proportioning of the elements of the structure to each other. Yet, there has never been any immutable ‘canon’ in the sense of a precisely defined design, such as Vitruvius…handed down."
[Berve and Gruben, (1963:308)]
Thus, we are sadly left with the thoughts of John Boardman who states that “…trying to elicit standards of measurement from extant buildings continue to excite scholars. The most that they generally demonstrate is that one basic standard was employed in a single building without necessarily exact correspondence with that used in any other. Much, if not all, must have been determined by the mason’s rod, marked and subdivided, but not checked against any national or even local standards. Hardly more encouraging is the search for detailed principles of proportion employed in designing all the parts of a building…. We record so much about the Greek artist’s sensitive appreciation of proportions that we might expect that he not only commanded elaborate and generally agreed standards of measurement, but also rigorously applied them to art and architecture. This is far from the truth….”
[John Boardman (1967:12)]
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Even contemporary researches continue to vacillate on the existence of a code developed to augment the ancient temple architect in formulating a standard design principal, continuing to state that, "...modular readings and proportional rules may be criticized as only being applicable with relative certainty to a few buildings in specific periods. It is unclear if the modern measurements utilized to help calculate the ancient design techniques are sufficiently accurate for such a purpose and likely theat the formulated design rules are overly complex, were probably only applicable in certain circumstances and subject to diverse local conditions." [Woodward (2012: 52)]
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Regardless of the disparaging point of view taken by John Boardman and Woodward, the Doric peripteral temple remains one of the most recognizable architectural forms of the ancient world. It is, as Leicester B. Holland [1917:117] states, “the single most architectural form that has persisted with so little variation…that the Greeks themselves used this form continuously for a period of over four hundred years without showing the slightest variation…and [with] practically no change in the relative proportions….”
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A further question might be whether the temple architects embraced a uniform code? The process must begin by establishing a useful model for Doric Temple design before moving to the next step of establishing a proportional model. Unquestionably, much of today’s anthropological research is conducted with an eye toward using statistical methods as a means to employ science as a way to define a coherent architectural model. [after Longacre 1980]. But, can we make the inference from the physical evidence to some sort of template or profile the architects might have used? Can we use this scientific discipline to make the transition from temple dimensions and measurements to the explanation of human behavior as it relates to proportions? Whether or not discovering an explanation for temple design from the empirical data is possible, one must at least explore the possibility that it is, and then, if at all possible, apply those results to establishing a uniform proportional convention.
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With this thought in mind, this hypothetical method begins by ignoring established taxonomic models [Binford, Lewis AA 23(24) 1964: 425-444], and begin to establish a Doric Temple proportional formula derived from various CLASSES of temples that make up the data file. The data was then subjected to a correlation and regression statistical test based on a formal taxonomy of specific attribute sets .
Classification
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A classification for use in statistical testing must “…produce classes that so accurately reflect the nature of the specimens that those classes and criteria that define them can be used to identify additional specimens of the same kind.”
[Rouse 1972]
Vitruvius states that: The planning of temples depends upon symmetry…[and] it arises from proportion…[using] a fixed module…by which the method of symmetry is put into practice. For without symmetry and proportion no temple can have a regular plan; that is, it must have an exact proportion worked out after the fashion of the members of a finely-shaped human body.
[Vitruvius Book III,1,1: translation by Morris Hicky Morgan 1914]
Although Vitruvius might state that symmetry and proportion are expressed in the human form, he confuses the Pythagorean concept of harmonics with an arithmetic or geometric unit to be added and subdivided. Thus the “fixed module” about which Vitruvius wrote is only a geometric constant, rather than an ideal number based on Pythagorean harmonic theory. It is these harmonic rules of proportion that eluded Vitruvius, for although he knew of a proportional method for the construction of Doric temples, he was not privy to their specifics.
That has not deterred many who whish to solve his proportional dilemma, the list of which is extensive [Mc Allister 1969; Adams 1973; Winter 1978; Coulton 1975-5]. But those historians who doggedly cling to the Vitruvius model have always come away disappointed. Nevertheless, with every new attempt the desired results have fallen short of producing a substantive proportional theory. One obstacle inhibiting past researchers from discovering any sort of unified set of laws is the limited number of structures available to form their data structure, producing results that work for only a select group of buildings, but fail to embrace all Doric temples. Berve & Gruben [1963], for example, state that the temple of Zeus at Olympia was “…built up from an ‘internal’ basic measurement [of] the interaxial of 16 Doric feet…a proportion from which all other dimensions were derived.” As convincing as this process is for the temple of Zeus, it falls short of defining, or even outlining, a strategy relevant to other Doric temples.
Consequently, modern Doric temple classifications rely on subjective identifications rather than the quantification of specific data. With this defect in Doric Temple classification, a new system is needed. This new system must incorporate a “…significantly recurring clusters of attributes…[that] represent some sort of norm, standard, or mental template in the minds of the…[ancient] craftsman.” [Whallen 1972:16]. I propose these attributes form groups of temples defined and segregated from all other structures by CLASS. This should help determine specific elements of the Doric style, rather than simply listing arbitrary stylistic elements.
So, what criteria should one use to define a Doric temple Class? The most logical method is to group according to a shared set of attributes or common traits. Specimens must be assembled according to shared diagnostic attribute. Certainly religious architecture consisting of colonnaded structures forms the root of such criteria. After that, columns consisting of capitals, smooth architrave or epistyle; frieze and metope, form the remainder of the attributes [Brillian 1972; Robertson 1940; Dinsmoor 1973; Berve & Gruben 1973]. In the case of the Doric Order: that includes temples consisting of columns with a smooth spreading convex echinus separating the column proper from the architrave above it; columns may or may not have arris fluting. With these stylistic concepts in mind, the following is how temple architecture filters out:
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The next lower rank in the taxonomy is Order [after Spaulding 1960]. Order groups temples according to the arrangement of exterior columns.
a. in Antis (with columns only within the naos portico)
b. Naos en Parastasian (with pilasters)
c. Prostyle (with columns in front only)
d. Amphiprostyle (with columns on both front and back only)
e. Peripteral (rectangular colonnaded structure with interior Naos)
Greek temples within established Classes and Orders may further be ranked according to type and subtypes. The number of columns on the temple short side determines the type structure, and a subscript number is assigned to the independent variables, or subtype. This method is outlined below:
Type (grouped according to the number of columns on the short side)
1. Tetrastyle (having four columns on the ends)
2. Pentastyle (having five columns on the ends)
3. Hexastyle (having six columns on the ends)
4. Septastyle (having seven columns on the ends)
5. Octastyle (having eight columns on the ends)
6. Novastyle (having nine columns on the end
Subtype (grouped according to the number of columns on the long side).
The temple of Zeus at Olympia would be classified thus:
De613
The complete classification would then be CLASS, Order, type, and subtype.
I. Class: D …... Doric
II. Order: e …….Peripteral structure (rectangular colonnade with interior Naos).
III. type: 6 …….determined by the number of columns along the width.
IV. subtype: 13 …...determined by the number of columns along the length.
At this point in the taxonomy, a structure either does or does not have Doric-style columns and the associated diagnostic attributes. Subsequently, the new classification establishes specific attribute criteria formalizing a Doric style.
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A statistical model was then established employing these reoccurring common attributes and segregating them into discrete data sets. The Order is specific in its determination, and should rule out any structure that might possibly be imprecisely classified as Doric temples. Thus, the Lincoln Memorial in Washington D.C., which has Doric-style columns, is ruled out because it does not have a free-standing peripteral colonnade. The Temple of Zeus at Olympia does have such a colonnade, and is thus assigned to Order e. Because the temple of Zeus at Olympia has 6 columns on the short side, it is grouped in type 6; because it has 13 columns on the long side, it is further subdivided into subtype 13.
Although this classification may seem pedantic, the form is necessary to discern discrete groups of temples. Once those have been established, the ordered data may be subjected to unbiased hypothesis testing through statistical means.
I. Aeolic
II. Ionic
III. Corinthian
IV. Doric

The Doric Order
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