Not a very golfable task. It is practically chosen such that the algorithm cannot be varied, and picking a better algorithm is what golf is really about. Not surprisingly my best entry is a variation on the initial attempt. Alternative approaches were only longer. 
#        1         2         3         4         5         6         7
+         8
#234567890123456789012345678901234567890123456789012345678901234567890
+1234567890
for$a(1..pop){@_{map{sprintf"%.3f",$_[0]*$a/$_}1..$a}++}sort{$a<=>$b}k
+eys%_

grep!$_{$_}++,sort{$a<=>$b}map{$a=$_;map{sprintf"%.3f",$_[0]*$a/$_}1..
+$_}1..pop

my%y=map{$_=>[1..$_]}1..pop;@_{map{sprintf"%.3f",$_[0]*$a/$_}@$b}++whi
+le($a,$b)=each%y;sort{$a<=>$b}keys%_

[download]

Makeshifts last the longest.

In reply to Re: Golf: overtone calculator by Aristotle
in thread Golf: overtone calculator by Django

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.