Comments on: Circle of fifths and roots of two http://www.johndcook.com/blog/2009/09/30/perfect-fifths-equal-temperament/ The blog of John D. Cook Sat, 11 Feb 2012 22:42:11 -0500 http://wordpress.org/?v=2.8.4 hourly 1 By: Schneider http://www.johndcook.com/blog/2009/09/30/perfect-fifths-equal-temperament/comment-page-1/#comment-80539 Schneider Tue, 10 May 2011 12:40:23 +0000 http://www.johndcook.com/blog/?p=3236#comment-80539 The easiest, the shiniest and the most fantastic way to describe how different the two kinds of tuning are :) The easiest, the shiniest and the most fantastic way to describe how different the two kinds of tuning are :)

]]> By: On “temperament” « blog of the green squirrel http://www.johndcook.com/blog/2009/09/30/perfect-fifths-equal-temperament/comment-page-1/#comment-37160 On “temperament” « blog of the green squirrel Tue, 27 Apr 2010 02:25:18 +0000 http://www.johndcook.com/blog/?p=3236#comment-37160 [...] For a more mathematical look at why the issue of musical temperament arises, this is a good reference – Circle of fifths and roots of two. [...] [...] For a more mathematical look at why the issue of musical temperament arises, this is a good reference – Circle of fifths and roots of two. [...]

]]> By: the_green_squirrel http://www.johndcook.com/blog/2009/09/30/perfect-fifths-equal-temperament/comment-page-1/#comment-36721 the_green_squirrel Wed, 21 Apr 2010 15:39:04 +0000 http://www.johndcook.com/blog/?p=3236#comment-36721 @cogito: http://lmgtfy.com/?q=440+hz&l=1 @Bruce: I know very little but this area, but I was under the impression that Bach favored a well temperament system, distinct from equal temperament. I just read an interesting article on the subject - The centuries-old struggle to play in tune - http://www.slate.com/id/2250793/pagenum/all/ @cogito: http://lmgtfy.com/?q=440+hz&l=1

@Bruce: I know very little but this area, but I was under the impression that Bach favored a well temperament system, distinct from equal temperament. I just read an interesting article on the subject – The centuries-old struggle to play in tune – http://www.slate.com/id/2250793/pagenum/all/

]]> By: CogitoErgoCogitoSum http://www.johndcook.com/blog/2009/09/30/perfect-fifths-equal-temperament/comment-page-1/#comment-36480 CogitoErgoCogitoSum Fri, 16 Apr 2010 09:29:01 +0000 http://www.johndcook.com/blog/?p=3236#comment-36480 I have seen at least three different internet sites that explained 440 Hz was the piano's Middle C. This is the first I have seen of 440 Hz being an A. I havent studied much in the way of music theory, and Im not accusing you of being wrong, but I recommend checking your sources on that because you are the first inconsistency I have seen in four. I have seen at least three different internet sites that explained 440 Hz was the piano’s Middle C. This is the first I have seen of 440 Hz being an A. I havent studied much in the way of music theory, and Im not accusing you of being wrong, but I recommend checking your sources on that because you are the first inconsistency I have seen in four.

]]> By: Bruce http://www.johndcook.com/blog/2009/09/30/perfect-fifths-equal-temperament/comment-page-1/#comment-25345 Bruce Wed, 30 Sep 2009 22:35:15 +0000 http://www.johndcook.com/blog/?p=3236#comment-25345 Thanks to J.S. Bach for making the case for equal temperament! Thanks to J.S. Bach for making the case for equal temperament!

]]> By: Daniel Black http://www.johndcook.com/blog/2009/09/30/perfect-fifths-equal-temperament/comment-page-1/#comment-25344 Daniel Black Wed, 30 Sep 2009 22:14:40 +0000 http://www.johndcook.com/blog/?p=3236#comment-25344 Great timing, too. A relatively recent Nova ScienceNow podcast covered musical autotuning, being put to great (ab)use in the last decade not only to ameliorate poor talent, but to hide it completely behind trendy distortion patterns. Of course, the story's not too deep, but I have to imagine that in addition to some FFT or such, this sort of math has to come into play. I'm happy to be disabused of this notion, say, by a post on The Endeavor? +) Great timing, too. A relatively recent Nova ScienceNow podcast covered musical autotuning, being put to great (ab)use in the last decade not only to ameliorate poor talent, but to hide it completely behind trendy distortion patterns. Of course, the story’s not too deep, but I have to imagine that in addition to some FFT or such, this sort of math has to come into play.

I’m happy to be disabused of this notion, say, by a post on The Endeavor? +)

]]> By: Will Fitzgerald http://www.johndcook.com/blog/2009/09/30/perfect-fifths-equal-temperament/comment-page-1/#comment-25329 Will Fitzgerald Wed, 30 Sep 2009 14:58:12 +0000 http://www.johndcook.com/blog/?p=3236#comment-25329 John, This is the cleanest description of the difference between Pythagorean tuning and equal temperament I've read, from a mathematical perspective, in any case. Will John,

This is the cleanest description of the difference between Pythagorean tuning and equal temperament I’ve read, from a mathematical perspective, in any case.

Will

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