Scale+lesson+by+Ana+Capriles

Scale Text:

When the proportions of architectural composition are applied to a particular building, the two-termed relationship of the parts to the whole must be harmonized with a third term—the observer PROPORTION + RELATIONSHIP + OBSERVER Scale by elements Scale by size

Golden Section: Some studies of the [|Acropolis], including the [|Parthenon], conclude that many of its proportions approximate the golden ratio. The Parthenon's facade as well as elements of its facade and elsewhere can be circumscribed by golden rectangles.[|[17]] To the extent that classical buildings or their elements are proportioned according to the golden ratio, this might indicate that their architects were aware of the golden ratio and consciously employed it in their designs. Alternatively, it is possible that the architects used their own sense of good proportion, and that this led to some proportions that closely approximate the golden ratio. On the other hand, such retrospective analyses can always be questioned on the ground that the investigator chooses the points from which measurements are made or where to superimpose golden rectangles, and that these choices affect the proportions observed. Some scholars deny that the Greeks had any aesthetic association with golden ratio. For example, Midhat J. Gazalé says, "It was not until Euclid, however, that the golden ratio's mathematical properties were studied. In the //Elements// (308 BC) the Greek mathematician merely regarded that number as an interesting irrational number, in connection with the middle and extreme ratios. Its occurrence in regular pentagons and decagons was duly observed, as well as in the dodecahedron (a [|regular polyhedron] whose twelve faces are regular pentagons). It is indeed exemplary that the great Euclid, contrary to generations of mystics who followed, would soberly treat that number for what it is, without attaching to it other than its factual properties."[|[18]] And [|Keith Devlin] says, "Certainly, the oft repeated assertion that the Parthenon in Athens is based on the golden ratio is not supported by actual measurements. In fact, the entire story about the Greeks and golden ratio seems to be without foundation. The one thing we know for sure is that Euclid, in his famous textbook //Elements//, written around 300 BC, showed how to calculate its value."[|[19]] Near-contemporary sources like [|Vitruvius] exclusively discuss proportions that can be expressed in whole numbers, i.e. commensurate as opposed to irrational proportions. Modulor: The graphic representation of the Modulor is a stylized human figure with one arm upraised stands next to two vertical measurements, the red series based on the figure's navel height (108 cm in the original version, 1.13m in the revised version) then segmented according to [|Phi], and the blue series based on the figure's entire height, double the navel height (216 cm in the original version, 2.26m in the revised), and likewise segmented. A [|spiral], graphically developed between the red and blue segments, seems to mimic the volume of the human figure.

Reading Scale Video:

How to read two differnet scale in the same instrument There is a relation betewn the feet and the inches