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	<title>
	Comments on: Raphael and the Golden Ratio in Renaissance Art	</title>
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	<link>https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/</link>
	<description>Golden Ratio, Phi, 1.618, and Fibonacci in Math, Nature, Art, Design, Beauty and the Face. One source with over 100 articles and latest findings.</description>
	<lastBuildDate>Thu, 29 May 2025 17:05:08 +0000</lastBuildDate>
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		<title>
		By: Gary B Meisner		</title>
		<link>https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/#comment-7925</link>

		<dc:creator><![CDATA[Gary B Meisner]]></dc:creator>
		<pubDate>Thu, 29 May 2025 17:05:08 +0000</pubDate>
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					<description><![CDATA[In reply to &lt;a href=&quot;https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/#comment-7871&quot;&gt;Mari&lt;/a&gt;.

See https://www.goldennumber.net/music/ and https://www.goldennumber.net/amen-break-golden-ratio-music/.]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/#comment-7871">Mari</a>.</p>
<p>See <a href="https://www.goldennumber.net/music/" rel="ugc">https://www.goldennumber.net/music/</a> and <a href="https://www.goldennumber.net/amen-break-golden-ratio-music/" rel="ugc">https://www.goldennumber.net/amen-break-golden-ratio-music/</a>.</p>
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		<title>
		By: Mari		</title>
		<link>https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/#comment-7871</link>

		<dc:creator><![CDATA[Mari]]></dc:creator>
		<pubDate>Mon, 10 Mar 2025 03:32:27 +0000</pubDate>
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					<description><![CDATA[What about phi in music?]]></description>
			<content:encoded><![CDATA[<p>What about phi in music?</p>
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		<title>
		By: Nick Kollerstrom		</title>
		<link>https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/#comment-4033</link>

		<dc:creator><![CDATA[Nick Kollerstrom]]></dc:creator>
		<pubDate>Wed, 07 Feb 2018 14:05:01 +0000</pubDate>
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					<description><![CDATA[In reply to &lt;a href=&quot;https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/#comment-2849&quot;&gt;Peter Nockolds&lt;/a&gt;.

Well maybe, but let&#039;s bear in mind that no numerical value of the Golden Ratio is given in the Pacioli text. That does not appear until the next century around the time of Kepler ... does it? 
The frame of the Botticelli Birth of Venus gives phi to the amazing 1.614 but he would have done that by a construction with a compass, not by having units of measure..
Is that not the first ever exact expression of phi? In 1483. Or alternately, Leonardo&#039;s &#039;Annunciation&#039; a bit earlier with his Annunciation as Gary Meisner has indicated., but its not quite so definite. There is a phi-horizon line in this picture which looks intentional  
Venus&#039; synodic cycle is to the Year as phi to half a percent, that would have been known to the &#039;Platonic&#039; Florentine academy with which Botticelli was connected,]]></description>
			<content:encoded><![CDATA[<p>In reply to <a href="https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/#comment-2849">Peter Nockolds</a>.</p>
<p>Well maybe, but let&#8217;s bear in mind that no numerical value of the Golden Ratio is given in the Pacioli text. That does not appear until the next century around the time of Kepler &#8230; does it?<br />
The frame of the Botticelli Birth of Venus gives phi to the amazing 1.614 but he would have done that by a construction with a compass, not by having units of measure..<br />
Is that not the first ever exact expression of phi? In 1483. Or alternately, Leonardo&#8217;s &#8216;Annunciation&#8217; a bit earlier with his Annunciation as Gary Meisner has indicated., but its not quite so definite. There is a phi-horizon line in this picture which looks intentional<br />
Venus&#8217; synodic cycle is to the Year as phi to half a percent, that would have been known to the &#8216;Platonic&#8217; Florentine academy with which Botticelli was connected,</p>
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		<title>
		By: Peter Nockolds		</title>
		<link>https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/#comment-2849</link>

		<dc:creator><![CDATA[Peter Nockolds]]></dc:creator>
		<pubDate>Tue, 01 Mar 2016 10:15:18 +0000</pubDate>
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					<description><![CDATA[Around this time someone noted the relationship of the Fibonacci Sequence to the Golden ratio in a copy of Pacioli&#039;s work. This represents a synthesis of Arithmetic and Geometry. The potential for this synthesis appears in the painting, one the left is Pythagroras with a slate signifying the two parts of the quadrivium associated with number: Arithmetic and Music, on the right are the two parts associated with magnitude: a figure, generally thought to be Euclid,  drawing a circular figure on another slate, represents Geometry, whilst above a figure with a celestial globe represents Astronomy. The two slates specifically link Arithmetic and Geometry.]]></description>
			<content:encoded><![CDATA[<p>Around this time someone noted the relationship of the Fibonacci Sequence to the Golden ratio in a copy of Pacioli&#8217;s work. This represents a synthesis of Arithmetic and Geometry. The potential for this synthesis appears in the painting, one the left is Pythagroras with a slate signifying the two parts of the quadrivium associated with number: Arithmetic and Music, on the right are the two parts associated with magnitude: a figure, generally thought to be Euclid,  drawing a circular figure on another slate, represents Geometry, whilst above a figure with a celestial globe represents Astronomy. The two slates specifically link Arithmetic and Geometry.</p>
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		<title>
		By: jim carlin		</title>
		<link>https://www.goldennumber.net/raphael-golden-ratio-in-renaissance-art/#comment-2282</link>

		<dc:creator><![CDATA[jim carlin]]></dc:creator>
		<pubDate>Thu, 21 May 2015 14:44:32 +0000</pubDate>
		<guid isPermaLink="false">http://www.goldennumber.net/?p=7302#comment-2282</guid>

					<description><![CDATA[the cochlea-for hearing
the chambered nautilus
 &#038; a spiral staircase with no nails
convinced me of a Good Orderly Direction
even if I didn&#039;t underastand  It]]></description>
			<content:encoded><![CDATA[<p>the cochlea-for hearing<br />
the chambered nautilus<br />
 &amp; a spiral staircase with no nails<br />
convinced me of a Good Orderly Direction<br />
even if I didn&#8217;t underastand  It</p>
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