Posts Tagged ‘music theory’
“I believe that the Binomial Theorem and a Bach Fugue are, in the long run, more important than all the battles of history”*…
Using his “musical animation machine.” Stephen Malinowski illustrates the genius of Bach’s “Great” Fugue in G minor, BWV 542…
Q: What’s so “great” about this fugue?
A: It’s called “great” to distinguish it from the other fugue in G minor (BWV 578) which is called “little”; you can compare it here. The BWV 578 fugue is a stand-alone piece, but BWV 542 is a pair of pieces; its full title is “Fantasia and Fugue in G minor.”…
* James Hilton
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As we marvel, we might recall that it was on this date in 1762 that Christoph Willibald Gluck‘s glorious opera Orfeo ed Euridice premiered at the Burgtheater in Vienna, in the presence of Empress Maria Theresa. The first of Gluck’s “reform” operas (which brought “noble simplicity” to what had become abstruse opera seria), it was hugely influential on subsequent German operas. Variations on its plot—the underground rescue mission in which the hero must control, or conceal, his emotions—can be found in Mozart’s The Magic Flute, Beethoven’s Fidelio, and Wagner’s Das Rheingold.

“The only truth is music”*…

The pseudonymous Kerwin Fjøl on music theory and its origins…
A while back, I posted the above picture onto Elon Musk’s X, and it got fairly popular, which was nice. It’s a sketch that John Coltrane made, and I had no idea what it was meant to demonstrate. Apparently, he gave it to fellow jazz musician Yusef Lateef in 1967, the same year he died (although I heard elsewhere he actually drew it in 1961), and he would pretty regularly produce these sorts of sketches to help himself reason through his music. A small handful of people started wondering about its mystical or occult implications, while others connected it to the “my coworker be losing his mind” meme. But what surprised me about it was the amount of people who got annoyed and immediately started yammering about how it isn’t really mystical; it’s just a boring circle of fifths, as though the fact that anyone might find this picture interesting for spiritual reasons was offensive on its face. One guy in particular, an account with 10k followers and a furry avatar, used it as the basis of a thread in which he saw a dichotomy between the real music theorists, the serious guys who are simply working out their ideas visually, and the woo-woo mystics who have no idea what they’re talking about but desperately want to see magic things everywhere. I’d link the post, but X doesn’t allow me to go through view most of the quote-tweets for some reason. In any case, you can imagine the kind of person who made it: the classic fedora-wearing, Reddit-using atheist that has become a cliché by this point.
There are a few problems with this interpretation, though, that are worth discussing. First, the picture isn’t just a typical circle of fifths. A circle of fifths is usually drawn by laying out the notes of a major scale in one circle and its relative minor notes in another, whereas this picture demonstrates a chromatic scale distributed along two concentric circles, with each circle arranged by whole tones. The likely reason Coltrane drew the picture, as I think this YouTube video lecture convincingly argues, was to think through what you can do with tritones during improvisation. And although it’s unclear what the pentangle might be doing besides linking the C octaves, it’s not at all unreasonable to guess that Coltrane was interested in its esoteric significance and wanted to incorporate it into his music somehow. After all, people have discussed this exact sort of influence when interpreting how he devised his Coltrane changes, which use major third interval chord substitutions that form an equilateral triangle on the circle of fifths. And he was clearly into pan-religious mysticism, which should be obvious by the content of his late albums.
But the more important problem with this distinction between the “Real Music Theorists” and the “woo-woo mystics” is that music has always been grounded in woo-woo mysticism. Bizarre philosophical ideas and supernatural notions have always accompanied the formal development of music theory, and composers themselves have often embedded religious and theological ideas into their compositional approach. I’d like to spend a bit of time here discussing exactly that topic…
There follows a fascinating history and analysis of the Pythagorean origins of Western music theory: “Yes, Music Is Mystical (and woo-woo),” from @zermatist.
See also Ted Gioia‘s broader survey of much the same turf: “Music to Raise the Dead: The Secret Origins of Musicology” @tedgioia
* Jack Kerouac
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As we contemplate the key to keys, we might recall that it was on this date in 1969 that David Bowie’s “Space Oddity” was released as a single in the U.K. The tale of a fictional astronaut, it was hurried out to precede the Apollo moon landing– and became Bowie’s first commercial hit, reaching the UK top five.
“It is the special province of music to move the heart”*…
From the estimable Ted Gioia…
Here’s one of the best music videos you will see this year.
Bach’s score for The Art of Fugue—perhaps his last work—does not specify the instrumentation, thus giving later musicians tremendous creative latitude. It’s based on [the motif pictured above].
This new video performance, released last week by the Netherlands Bach Society, features an impressive range of settings—starting with solo voices, and working through combinations of a dozen other instruments…
Bach– as Wagner proclaimed, “the most stupendous miracle in all music!”: The Art of the Fugue
* Johann Sebastian Bach
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As we appreciate patterns, we might recall that it was on this date in 1738 that Handel, Bach’s contemporary (he, Bach, and Domenico Scarlatti were all born in 1685), finished his his oratorio Saul and starts Israel in Egypt.
So You Want To Be a Rock and Roll Star…

Hooktheory, a system for learning to write music, analyzed 1,300 popular songs for how chords were used.
First we’ll look at the relative popularity of different chords based on the frequency that they appear in the chord progressions of popular music. Then we’ll begin to look at the relationship that different chords have with one another. For example, if a chord is found in a song, what can we say about the probability for what the next chord will be that comes after it?…
It will surprise no one who has done time playing rhythm in a band that the most common chords used overall were G, F, and C.
[TotH to Flowing Data]
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As we reach for the Rickenbacker, we might recall that it was on this date in 1968 that Elvis Presley took the stage for the first time in over seven years to record the NBC television special Elvis, remembered now as “the ‘68 Comeback Special.” The King’s informal jam session, recorded that night in front of a small audience, was the inspiration for the “Unplugged” concept, later popularized by MTV.
(The chords that ran through the repertoire fit Hooktheory’s pattern precisely; c.f., “Can’t Help Falling in Love With You.”)

Elvis in his ’68 Comeback Special





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