the chord held at the start of Bach's Fugue in D minor

Bach wrote umpteen different fugues in D minor, none of which is so obviously better or more important than the others as to deserve the title "Bach's Fugue in D minor". And it's kinda unusual for a fugue to begin with any sort of held chord, though maybe whichever one you're thinking of does.

Would you care to be more specific?

I bet PhilGoetz is talking about the toccata in the famous Toccata and Fugue in D minor, BWV 565, which has a C# diminished 7 over a D pedal tone (about 30 seconds into this recording).

Bad Concepts Repository

by moridinamael 1 min read27th Jun 2013204 comments

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We recently established a successful Useful Concepts Repository.  It got me thinking about all the useless or actively harmful concepts I had carried around for in some cases most of my life before seeing them for what they were.  Then it occurred to me that I probably still have some poisonous concepts lurking in my mind, and I thought creating this thread might be one way to discover what they are.

I'll start us off with one simple example:  The Bohr model of the atom as it is taught in school is a dangerous thing to keep in your head for too long.  I graduated from high school believing that it was basically a correct physical representation of atoms.  (And I went to a *good* high school.)  Some may say that the Bohr model serves a useful role as a lie-to-children to bridge understanding to the true physics, but if so, why do so many adults still think atoms look like concentric circular orbits of electrons around a nucleus?  

There's one hallmark of truly bad concepts: they actively work against correct induction.  Thinking in terms of the Bohr model actively prevents you from understanding molecular bonding and, really, everything about how an atom can serve as a functional piece of a real thing like a protein or a diamond.

Bad concepts don't have to be scientific.  Religion is held to be a pretty harmful concept around here.  There are certain political theories which might qualify, except I expect that one man's harmful political concept is another man's core value system, so as usual we should probably stay away from politics.  But I welcome input as fuzzy as common folk advice you receive that turned out to be really costly.