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<DIV>Strength in an acoustical spectrum refers to the amplitudes of the peaks in
the spectrum. If you add up the peaks sorted by pitch class, you will find in a
harmonic spectrum that the pitch class of the fifth re the fundamental is the
second strongest after the fundamental.</DIV>
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<DIV>Nature does jump. I assumed that the special case of the octave had been
sufficiently present in this discussion group. Otherwise Google or a link might
help:</DIV>
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<DIV><EM><A
href="http://www.neuroscience-of-music.se/Octave-History.htm">www.neuroscience-of-music.se/<B>Octave</B>-<B>History</B>.htm</EM></A>
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<DIV class="action-menu ab_ctl">Martin Braun<BR>Neuroscience of Music<BR>S-66492
Värmskog<BR>Sweden<BR><A
href="http://www.neuroscience-of-music.se/index.htm">http://www.neuroscience-of-music.se/index.htm</A><BR></DIV>
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<DIV style="font-color: black"><B>From:</B> <A title=nicolas.meeus@scarlet.be
href="mailto:nicolas.meeus@scarlet.be">Nicolas Meeùs</A> </DIV>
<DIV><B>Sent:</B> Monday, April 28, 2014 3:54 PM</DIV>
<DIV><B>To:</B> <A title=nombraun@telia.com
href="mailto:nombraun@telia.com">Martin Braun</A> ; <A
title=smt-talk@lists.societymusictheory.org
href="mailto:smt-talk@lists.societymusictheory.org">smt-talk@lists.societymusictheory.org</A>
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<DIV><B>Subject:</B> Re: [Smt-talk] Question About The First 16 Partials Of The
Harmonic Overtone Series</DIV></DIV></DIV>
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face=Calibri>Supposing that I understand what you mean, this is a very odd way
to express it, to say the least. <BR><BR>The only direct interval of a fifth in
a harmonic series is that between partials 2 and 3; it also exists between any
pair of partials multiple of these two, e.g. 4 and 6, 6 and 9, etc. Is this the
"second strongest group"? In what sense, "strongest"? And what is a "group"
within a harmonic spectrum? <BR><BR>What you really mean, I suspect, is that the
harmonic spectra of sounds distant by an octave, a fifth, a fourth, a major
third, etc., in this order, are the most likey to attain some level of fusion,
In other terms, the harmonic spectra of fifth-related sounds are the second most
"fusionable" ones.<BR><BR>You seem also to mean that the fusion of spectra
related by an octave is fundamentally different of that of sound related by a
fifth ("</FONT><FONT face=Calibri>Today there is a biology of the octave. But
there is no biology of the fifth.") <I>Natura non facit saltus</I>: either there
is a "biology" of none of them, or a biology of all of them. But what do you
mean by "biology", here?<BR><BR>Nicolas Meeùs<BR>Professeur
émérite<BR>Université Paris-Sorbonne<BR><A class=moz-txt-link-abbreviated
href="mailto:nicolas.meeus@scarlet.be">nicolas.meeus@scarlet.be</A><BR></FONT></DIV></DIV></DIV></BODY></HTML>