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history/modulor/20130805-174601.txt
editor : alpha [82.249.167.200] 2013/08/05 17:46:01 _h1 modulor _p Following the strange and complex (and unused) [[Modulor|http://ww3.ac-poitiers.fr/arts_p/b@lise14/pageshtm/page_7.htm]], what about usual dimensions based on simple "human" combinations of the foot, (≠30cm) and the inch (≠2.5cm) ? {center {show {@ src="http://marty.alain.free.fr/risc/data/grains/echelles/modulor_1.jpg" height="150" width="600" title="Usual dimensions with Le Corbusier"}} {show {@ src="http://marty.alain.free.fr/risc/data/grains/echelles/modulor_2.jpg" height="150" width="600" title="Série Rouge et Série Bleue from Le Corbusier"}} {show {@ src="http://marty.alain.free.fr/risc/data/grains/echelles/modulo.jpg" height="150" width="600" title="Usual dimensions with the Imperial System ... and Alain Marty's 5%"}} } {pre {@ style="float:left;width:150px;margin:5px;"} FIBONACCI 1: 2/1 3: 3/2 5: 5/3 8: 8/5 13: 13/8 21: 21/13 34: 34/21 55: 55/34 89: 89/55 144: 144/89 233: 233/144 SERIE ROUGE sur m = 1.13cm * m Ø Ø Ø * m Ø Ø * m Ø m / m Ø / m Ø Ø / m Ø Ø Ø SERIE BLEUE with M = 2.26cm * M Ø Ø Ø * M Ø Ø * M Ø M / M Ø / M Ø Ø / M Ø Ø Ø } {pre {@ style="float:left;width:180px;;margin:5px;"} {/ 2 1} {/ 3 2} {/ 5 3} {/ 8 5} {/ 13 8} {/ 21 13} {/ 34 21} {/ 55 34} {/ 89 55} {/ 144 89} {/ 233 144} SERIE ROUGE {* 1.13 1.618 1.618 1.618} {* 1.13 1.618 1.618} {* 1.13 1.618} 1.13 cm {/ 1.13 1.618} {/ 1.13 1.618 1.618} {/ 1.13 1.618 1.618 1.618} {* 2.26 1.618 1.618 1.618} {* 2.26 1.618 1.618} {* 2.26 1.618} 2.26 cm {/ 2.26 1.618} {/ 2.26 1.618 1.618} {/ 2.26 1.618 1.618 1.618} } {pre {@ style="float:left;width:200px;;margin:5px;"} -> Ø = {/ {+ 1 {{lambda (x) return Math.sqrt(x)} 5}} 2} 1' = 30.48cm, 1" = 2.54cm ≠ 30cm ≠ 2.5cm ≠ 4.775 = 16' - 1" [{- {* 16 0.30} {* 1 0.025}}] ≠ 2.950 = 10' - 2" [{- {* 10 0.30} {* 2 0.025}}] ≠ 1.825 = 6' + 1" [{+ {* 6 0.30} {* 1 0.025}}] ≠ 1.125 = 4' - 3" [{- {* 4 0.30} {* 3 0.025}}] ≠ 0.700 = 2' + 4" [{+ {* 2 0.30} {* 4 0.025}}] ≠ 0.425 = 1' + 5" [{+ {* 1 0.30} {* 5 0.025}}] ≠ 0.250 = 1' - 2" [{- {* 1 0.30} {* 2 0.025}}] ≠ 9.575 = 32' - 1" [{- {* 32 0.30} {* 1 0.025}}] ≠ 5.900 = 20' - 4" [{- {* 20 0.30} {* 4 0.025}}] ≠ 3.650 = 12' + 2" [{+ {* 12 0.30} {* 2 0.025}}] ≠ 2.250 = 7' + 6" [{+ {* 7 0.30} {* 6 0.025}}] ≠ 1.400 = 5' - 4" [{- {* 5 0.30} {* 4 0.025}}] ≠ 0.850 = 3' - 2" [{- {* 3 0.30} {* 2 0.025}}] ≠ 0.525 = 2' - 3" [{- {* 2 0.30} {* 3 0.025}}] } {div {@ style="clear:both;"}..} _h3 usual dimensions _p It appears that in the architectural domain, usual dimensions can be easily reached by an easy combination of feet and inches in the approximation {b 1 foot = 30.48cm ≠ 30cm} and {b 1 inch = 2.54cm ≠ 2.5cm}. Examples : _ul a seat : 45cm = 1.5' _ul a table : 75cm = 2.5' _ul a kitchen work desk : 90cm = 3' _ul a man : 180cm = 6' _ul a woman : 165cm = 5.5' _ul a standard door's dimensions : 210cmx90cm = 7'x3' _ul ceiling's heights : 225cm = 7'6", 240cm = 8', 250cm = 8'4", 270 = 9' _ul a little room : 270cmx270cm = 9'x9' and a better one : 360cmx360cm = 12'x12' _ul passage unit : 60cm = 2' (which is also the step of the man who walks) _ul stairs formula : 2h+g in [60,65] : for g = 30cm = 1' h must be between 15cm = 0.5' and 17.5cm = 0.5' 1" _ul thickness of a standard plasterboard : 12,7mm = 1/2". Other thickness are 4/12" and 8/12". Two plasterboards makes one inch (1/2"+1/2"), and improve the acoustic behaviour of the partition. With two plasterboards with different thickness (4/12" + 8/12"), the frequencies of resonance will be different and the filter better. Thinking to this in the Metric System is very difficult, not in the Imperial System ! _ul more to say about the ducts diameters and so on ... _h3 middle age _p All these considerations look so "Middle Age" and at least not reasonable ! The fact is that the foot and the inch are used in the Computer Technologies, the dimensions of a screen, of a pixel, of a font, of a page, are given in inches, not in centimeters. My experience as an architect confirmed the fact that it is the best tool for conception in architecture, even if the dimensions are finally written in centimeters. The conceptual background is made of feet and inches. The Modulor was an attempt to fight against the Metric System, inappropriated in the building construction. But it was too complex, the Le Corbusier's "Série Rouge" and "Série Bleue" can't be easily used and they are not used. I think that the idea of a "little smart modulor" made on gentle combinations of feet and inches can be an acceptable and useful follower of the Modulor. And you ? _p More to see here : [[RISC/GRAINS|http://marty.alain.free.fr/risc/?view=grains]].