Optimal Overtone Numbering System Discussions - Overtone Music Network2024-08-03T14:24:35Zhttps://www.overtone.cc/group/oonsys/forum?feed=yes&xn_auth=noMy opinion abouttag:www.overtone.cc,2008-07-22:884327:Topic:309422008-07-22T00:17:49.731ZMarco Toninihttps://www.overtone.cc/profile/MarcoTonini
<b><i>Fo</i></b> is an harmonic component, and it is the first of the sequence, so in my opinion we can call it <b>h1</b>, and so on, h2, h3,...<br />
In this way their numbering become very obvious and simple, and math help us.<br />
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If we consider the octave intervals of the harmonic series, we note that their numbers are:<br />
h1 = Fo, base frequency<br />
h2 = first octave<br />
h4 = second octave<br />
h8 = third octave<br />
h16 = fourth octave<br />
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so, obviously<br />
<br />
the first octave includes 1 harmonic component<br />
the second octaveâ€¦
<b><i>Fo</i></b> is an harmonic component, and it is the first of the sequence, so in my opinion we can call it <b>h1</b>, and so on, h2, h3,...<br />
In this way their numbering become very obvious and simple, and math help us.<br />
<br />
If we consider the octave intervals of the harmonic series, we note that their numbers are:<br />
h1 = Fo, base frequency<br />
h2 = first octave<br />
h4 = second octave<br />
h8 = third octave<br />
h16 = fourth octave<br />
<br />
so, obviously<br />
<br />
the first octave includes 1 harmonic component<br />
the second octave includes 2 harmonic components<br />
the third octave includes 4 harmonic components<br />
the fourth octave includes 8 harmonic components<br />
<br />
<a class="noborder" href="http://storage.ning.com/topology/rest/1.0/file/get/1798935455?profile=original" target="_blank"><img width="571" src="http://storage.ning.com/topology/rest/1.0/file/get/1798935455?profile=RESIZE_1024x1024" alt="" width="571" height="294" style="float: left;"/></a><br />
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Not only, for example the octave of h3 is h6, the octave of h5 is h10, and so on.<br />
it is very obvious but really charming for me!<br />
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What do you think? Let's discover Optimal notation syst. for musicianstag:www.overtone.cc,2008-07-21:884327:Topic:309382008-07-21T23:58:13.746ZFilip Rydlohttps://www.overtone.cc/profile/FilipRydlo
<i>When it is done:</i> I would recommend to try to combine it with the "Scientific" one. So the octaves would become visible again. :)<br />
What do You think?
<i>When it is done:</i> I would recommend to try to combine it with the "Scientific" one. So the octaves would become visible again. :)<br />
What do You think? What is your favourite numbering system?tag:www.overtone.cc,2008-07-21:884327:Topic:309342008-07-21T23:52:07.849ZFilip Rydlohttps://www.overtone.cc/profile/FilipRydlo
What ovt.numbering system do You personally use and which one do You prefer?
What ovt.numbering system do You personally use and which one do You prefer? Overtones vs. harmonicstag:www.overtone.cc,2008-07-21:884327:Topic:309322008-07-21T23:50:02.570ZDave Seidelhttps://www.overtone.cc/profile/DaveSeidel
As the terms are defined <a href="http://en.wikipedia.org/wiki/Overtone">here</a>, the different numbering systems exist because there is a distinction between an <i>overtone</i> (or <i>partial</i>) and a harmonic. Hamonics are exact multiples of the fundamental pitch, so the fundamental counts as 1. Overtones are partial frequencies relative to the fundamental, so the fundamental is not counted.
As the terms are defined <a href="http://en.wikipedia.org/wiki/Overtone">here</a>, the different numbering systems exist because there is a distinction between an <i>overtone</i> (or <i>partial</i>) and a harmonic. Hamonics are exact multiples of the fundamental pitch, so the fundamental counts as 1. Overtones are partial frequencies relative to the fundamental, so the fundamental is not counted.