From 9a770f482c4d8f4c1cc092bc2eed7015e2727c18 Mon Sep 17 00:00:00 2001
From: julian laplace <julescarbon@gmail.com>
Date: Wed, 9 Jul 2025 23:20:34 +0200
Subject: a

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diff --git a/index.html b/index.html
index 29ca22f..4cd13e9 100644
--- a/index.html
+++ b/index.html
@@ -386,18 +386,18 @@
           <a
             href="https://archive.org/details/tonestudyinmusic0000leva/page/n5/mode/2up"
             >Levarie and Levy</a
-          >, who traces the Lambdoma back to Pythagoras (ca. 500 BCE) via the
-          <i>Theologumena arithmeticae</i> of
-          <a
-            href="https://archive.org/details/astius-theologumena-arithmeticae-gr-1817/page/159/mode/1up"
-            >Iambluchus</a
-          >
-          and the <i>Introduction to Arithmetic</i> by
+          >, who trace the Lambdoma back to Pythagoras (ca. 500 BCE) by way of
+          the <i>Introduction to Arithmetic</i> by
           <a
             href="https://archive.org/details/nicomachus-introduction-to-arithmetic/page/191/mode/1up"
             >Nicomachus of Gerasa</a
           >
-          (ca. 100 BCE). The Lambdoma is mentioned by
+          (ca. 100 BCE) and the <i>Theologumena arithmeticae</i> of
+          <a
+            href="https://archive.org/details/astius-theologumena-arithmeticae-gr-1817/page/159/mode/1up"
+            >Iamblichus</a
+          >
+          (ca. 300 CE). The Lambdoma is also mentioned by
           <a
             href="https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A2008.01.0385%3Astephpage%3D1027b"
             >Plutarch</a
@@ -410,9 +410,10 @@
             >depicts it</a
           >
           in
-          <i>Die harmonikale Symbolik des Alterthums</i> (1876), and was used by
-          mathematician Georg Cantor in his theory of transfinite sets. More
-          information can be gleaned from Hero's
+          <i>Die harmonikale Symbolik des Alterthums</i> (1876). The Lambdoma
+          was also used by mathematician Georg Cantor in his theory of
+          transfinite sets (see below). More information can be gleaned from
+          Hero's
           <a
             href="https://lambdoma.com/pdfs/the-lambdoma-matrix-and-harmonic-intervals.pdf"
             target="_blank"
@@ -423,18 +424,20 @@
         <h2>the mathematics of perception</h2>
 
         <p>
-          With the root, fifth, and fourth in the top-left corner, the Lambdoma
-          shows how the 3:2 proportion is essential to human perception.
+          With the root, fifth, fourth, and octave in the top-left corner, the
+          Lambdoma shows how the 3:2 proportion is essential to human
+          perception.
         </p>
 
         <p>
-          Mapping colors logarithmically to this wheel of fractions, with red at
-          the octave (1:1), it naturally follows that the fourth (4:3) is green,
-          and the fifth (3:2) is blue. These ratios seem to correspond to the
-          photoreceptors in the human retina, which are sensitive to wavelengths
-          of light in three different ranges: long, medium, and short. These
-          ranges are perceived as "red, green, and blue" in the brain, yet our
-          mind's eye sees a continuous cycle of color that loops back on itself.
+          Mapping colors logarithmically to this wheel of fractions between 1
+          and 2, with red at the octave (1:1), it naturally follows that the
+          fourth (4:3) is green, and the fifth (3:2) is blue. These ratios seem
+          to correspond to the photoreceptors in the human retina, which are
+          sensitive to wavelengths of light in three different ranges: long,
+          medium, and short. These ranges are perceived as "red, green, and
+          blue" in the brain, yet our mind's eye sees a continuous cycle of
+          color that loops back on itself.
         </p>
 
         <p>
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