Subject: Re: Robust method of fundamental frequency estimation From: Dan Ellis <dpwe@xxxxxxxx> Date: Wed, 31 Jan 2007 22:59:11 -0500 List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>------=_Part_17381_30300388.1170302351979 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit Content-Disposition: inline > I've always wondered why playing a bass line on the bottom octaves > of the piano can almost never serve the same sonic role as playing > the same bass line on a stand-up (acoustic) bass or electric bass guitar > (I'm talking about a popular music and jazz context here). I don't know the answer, but I took the FFT of the lowest note of the piano from the MUMS grand piano samples; it's at: http://labrosa.ee.columbia.edu/~dpwe/tmp/mumsPianoA0.jpg Obviously this depends on recording setup etc., but there's no discernable energy at the fundamental, and almost none at the second harmonic. It's only at the 3rd harmonic (82.5 Hz nominal) and above that you really start to get energy. I would bet a double bass has better representation of lower harmonics. The plot also shows in green the expected locations of harmonics of 27.5 Hz. The piano harmonics aren't all that close, and over this range it doesn't look like a simple stretching either - seems like a much more complex pattern of per-harmonic deviations, both above and below. DAn. ------=_Part_17381_30300388.1170302351979 Content-Type: text/html; charset=ISO-8859-1 Content-Transfer-Encoding: 7bit Content-Disposition: inline <br><div><blockquote class="gmail_quote" style="border-left: 1px solid rgb(204, 204, 204); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex;">I've always wondered why playing a bass line on the bottom octaves<br>of the piano can almost never serve the same sonic role as playing <br>the same bass line on a stand-up (acoustic) bass or electric bass guitar<br>(I'm talking about a popular music and jazz context here).</blockquote><div><br>I don't know the answer, but I took the FFT of the lowest note of the piano <br>from the MUMS grand piano samples; it's at:<br><br> <a href="http://labrosa.ee.columbia.edu/~dpwe/tmp/mumsPianoA0.jpg">http://labrosa.ee.columbia.edu/~dpwe/tmp/mumsPianoA0.jpg</a><br><br>Obviously this depends on recording setup etc., but there's no discernable <br>energy at the fundamental, and almost none at the second harmonic. It's <br>only at the 3rd harmonic (82.5 Hz nominal) and above that you really start to <br>get energy. I would bet a double bass has better representation of lower <br>harmonics.<br><br>The plot also shows in green the expected locations of harmonics of 27.5 Hz. <br>The piano harmonics aren't all that close, and over this range it doesn't look <br>like a simple stretching either - seems like a much more complex pattern of <br>per-harmonic deviations, both above and below.<br><br> DAn.<br><br></div><br></div><br> ------=_Part_17381_30300388.1170302351979--
