From e83f5b9479433a460c655554d1353f43b1bdbe3e Mon Sep 17 00:00:00 2001
From: julian laplace <julescarbon@gmail.com>
Date: Sat, 12 Jul 2025 16:00:56 +0200
Subject: text

---
 index.html | 28 +++++++++++++++-------------
 1 file changed, 15 insertions(+), 13 deletions(-)

(limited to 'index.html')

diff --git a/index.html b/index.html
index c417d9e..0a3e879 100644
--- a/index.html
+++ b/index.html
@@ -457,22 +457,24 @@
         </p>
 
         <p>
-          Tuning systems must weigh the harmony of pure intervals against
-          musical versatility. A Pythagorean tuning system made from pure
-          fractions will include many different "fifths" and "thirds" at
-          different points in the scale, which makes each musical key sound
-          highly distinctive. Some intervals are extremely dissonant and harsh,
-          rendering certain keys unplayable.
+          Tuning systems must weigh the purity of thirds and fifths. A
+          Pythagorean tuning system made from pure fractions will include many
+          different "fifths" and "thirds" at different points in the scale,
+          especially when using basic ratios to determine a 12-tone scale. Each
+          musical key sounds highly distinctive, and some intervals may be
+          considered dissonant or harsh.
         </p>
 
         <p>
-          12-tone equal temperament enables musicians to play in any key by
-          bending all of the notes slightly out of tune. This process invokes
-          irrational numbers, and creates in-between intervals which do not
-          exist anywhere in the Lambdoma, no matter how far out you go.
-          Equal-tempered semitones are separated by a ratio of the 12th root of
-          2 (1:<super>12</super>√2). Irrationals are real numbers, and these can
-          only be approximated by fractions made up of natural numbers.
+          In a sense, 12-tone equal temperament "bends" all of the notes such
+          that the fifths are more consisent, making it easier to modulate
+          between keys, though other intervals (like thirds) are far from a pure
+          interval. This process invokes irrational numbers, and creates
+          in-between intervals which do not exist anywhere in the Lambdoma, no
+          matter how far out you go. Equal-tempered semitones are separated by a
+          ratio of the 12th root of 2 (1:<super>12</super>√2). Irrationals are
+          real numbers, and these can only be approximated by fractions made up
+          of natural numbers.
         </p>
 
         <p>
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