ÿþ<html> <head> <title>MM of Everything: How do guitar strings make different notes?</title> <style><!--a:hover{color:FF2222; }--></style> </head> <body bgcolor="#99FFFF" text = "#4400AA" link="#008000" alink="#008000" vlink="#008000" > <meta name="keywords" content="Kjartan, Poskitt, Kjartan Poskitt, Murderous Maths, Murderous maths of everything, music,"> <meta name="description" content="How do guitar strings make different notes?"> <H1> <a href="../../indextxt.htm"> <img src="mmlogonew2.gif" align=LEFT hspace=20 border=0></A> <a href="../MMoE.htm"> <IMG SRC="MMoEcovsm.jpg" align=right border=0></A> <TABLE><TR><TD valign=top width=350><H1> <font color ="#ee0000">How do guitar strings make different notes?</FONT> </TD></TR></TABLE> </H1> <P CLEAR=LEFT> In <a href="../MMoE.htm">The Murderous Maths of Everything</A> we see how you can cut organ pipes to different lengths and so make different musical notes. For example: <UL> <LI>If you take a C pipe and cut it to 1/2 of the length you get a C pipe an octave higher. <LI>If you take a C pipe and cut it to 2/3 rds of the length you get a G pipe. <LI>If you take a C pipe and cut it to 3/4 length you get an F pipe. </UL> <P><a href="greekgeeks.htm"><img src="pythol.gif" align="left" border=0><img src="pythtele.gif" align="right" border=1></a> Pythagoras is supposed to be the first person who worked out that neat fractions make music. One day he was passing a blacksmiths and heard some bits of metal being hammered and they happened to strike a nice chord. He loved simple numbers and fractions so when he realised that one bit of metal was exactly 2/3 the length of the other he was utterly delighted. He made a very simple sort of guitar so he could twang the strings and change their length. (The strings had to be the same thickness and they had to be equally tight for his experiments to work.) <P clear=right>Modern guitars work in exactly the same way. If you have a guitar and count up from the end of the neck to the 12th fret, you should find that s exactly halfway along the string. The 7th fret should be 2/3, the 5th fret should be 3/4 and the second fret should be 8/9. <P><img src="guit.jpg" align="right" border=1> <P>You might also be interested in: <a href="music.htm">Why do some musical notes sound AWFUL together?</A> <P> <P><BR> <img src="mmlogonew2.gif" ALIGN=LEFT> <FONT FACE = "ARIAL"> <P><a href="../MMoE.htm" > The Murderous Maths of Everything</a> <P><a href="../../indextxt.htm" > Murderous Maths Home Page</a> </body> </html>