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Old 11-20-2006, 01:43 AM   #1
Cynthia Daniel Cynthia Daniel is offline
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I'm no Golden Ratio expert, but it would be interesting to see how El Jaleo holds up to that.
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Old 11-20-2006, 07:34 AM   #2
Mike McCarty Mike McCarty is offline
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Good idea. I should have brought this up long before now.

I don't have time at the moment to illustrate the golden mean, but my rough estimate for "El Jaleo" puts it at approximately the highlight of the guitar being played on the right in the left half of the painting.

If you apply the golden mean to the two photographs I posted above the second one's golden mean is the inside corner of her left eye, the first is in the area of her temple.

Golden Mean = horizontal divided by 2.62, vertical divided by 2.62. With lines drawn representing these numbers, their intersection would be the golden mean.

I'll have time to confirm these measurements a little later, unless someone beats me to it.
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Old 11-25-2006, 12:50 PM   #3
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I've used the above calculations to come up with the golden ratio point of interest for "El Jaleo." My calculation puts it at the point I've indicated with the red dot just above the guitar players head.

I would say that the more grand the composition, the more elements involved, the less use this measurement may be. If I apply it to the Valazquez below it comes up quite random in the upper left of center as indicated, yet, if applied to Vermeer's Pearl Ear Ring it hits the mark quite well.

And there is always the possibility that I have not applied the calculation correctly. I hope someone with more knowledge of this principle will come forward and tell what they know.
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Old 11-25-2006, 09:16 PM   #4
Mike McCarty Mike McCarty is offline
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It has been brought to my attention that the above mentioned painting - Diego Velazquez's Las Hilanderas (The Spinners) c. 1657, is a reversed image. Thanks to Carlos Ygoa for bringing this to my attention. The image is reversed on the Art Renewal Center web site. It is indicated that the painting resides at the Museo del Prado, Madrid, so I trust that Carlos would know best. Makes you wonder how many other images are reversed, cropped or misrepresented in some way.

I've reworked the calculation mentioned above and noted the location with the red mark. It does make a difference. Diego now gives a sigh of relief.

Also, another not too shabby painting by Velazques: Juan de Pareja.
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Old 11-25-2006, 10:01 PM   #5
Mike McCarty Mike McCarty is offline
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And once again with Diego Velazquez ...

Below is Las Meninas (Ladies in Waiting), 10'5" x 9'5".

For an interesting discussion regarding Velazquez and his paintings, and why this is the "Greatest painting in the world" you can click below:

http://www.artchive.com/artchive/V/v...uez_atlee.html

And following I've listed three paintings by Thomas Wilmer Dewing. I think The Piano painting is really an interesting composition.

Lady with Lute
The Piano 1891
Woman in Purple and Green 1905 (I guess we'll have to imagine the colors)

Notice in this last painting how the back of the chair coincides with the line of her dress. This is a bit distracting to me and one of those little things that can be easily fixed.
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Old 11-26-2006, 10:26 AM   #6
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Mike--

My understanding (limited) of the Golden Mean is that it's plotted from both ends, and top and bottom, the result being four corners of a rectangle within the composition representing the four strongest points at which one could hang something compositionally important.

I haven't plotted it on "El Jaleo," but estimating by eye, it looks like if plotted from the right end, the mean point on the upper right of the rectangle would be about at the main dancer's chin, more or less. That would bring us very quickly to the head of the main character.

Make sense?

--TE

(Juan de Pareja is the one I'd go back in after if the Met caught fire.)
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Old 11-26-2006, 03:10 PM   #7
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Tom, ET AL,

I'm going to try and get to the bottom of this "Golden Section."

Phi = 1.618033988749895
phi = .618033988749895

Pronounced Phi as in fish (pheel phree to jump right in).
Small "p" being the reciprocal of the capital "P".

The ratio, or proportion, determined by Phi (1.618 ...) was known to the Greeks as "dividing a line in the extreme and mean ratio" and to Renaissance artists as the "Divine Proportion." It is also called the Golden Section, Golden Ratio and the Golden Mean.

Just as pi is the ratio of the circumference of a circle to its diameter, phi is simply the ratio of the line segments that result when a line is divided in one very special and unique way.

Divide a line (one side of your canvas) such that the ratio of the length of the entire line (A) to the length of the larger line segment (B) is the same as the ratio of the length of the larger line segment (B) to the length of the smaller line segment (C). In other words - (C) is to (B) as (B) is to (A).Conphused yet?

The Seurat example below, created by Seurat with full intention of following the golden section principles, is 300w x 195h pixels.

If we consider the whole first we would multiply the top of the canvas 300w by phi .618 and we would get 185. If we then follow over 185 clicks from the left this would be represented by the blue (and continuing down with the white) vertical line on the right. What we now have is two large rectangles which have that special relationship discussed above: A to B to C. Each of the two resulting rectangles would be considered a golden section.

If we then take the 195h and multiply it by phi .618 we get 120. Coming up from the bottom 120 clicks we see this represented by the horizontal blue line forming the rectangle at the top and bottom right. We now have two more rectangles on the right side of the canvas each being a golden section.

As you can see it goes even phurther, creating more from the last.

The idea was to place in these so called golden sections the important aspects of the composition.

And just phor the phun of it, and to phoster greater phlumux, it also holds true that if you take the 300h and divide it by 2.62 you will come up with 115, which is the other side of the 185 (totalling 300) that you get when multiplying 300h by phi .618.

And of course any of the multiplications by phi could be done as a division by Phi, it being the recipricol.

I would like to apply this to "El Jaleo" but my laptop software can't even draw a straight line. And besides, I'm tired of phiguring.
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