As I’ve been gathering musical simples, I’ve been trying to figure out the best way to categorize them. There are melodic simples, otherwise known as riffs, hooks, and licks. There are rhythmic simples, otherwise known as beats, claves, and rhythm necklaces. And then there are the simples that combine a beat with a melody. Alex …
Tag Archives: symmetry
Scale necklaces and symmetry
While I was doing some examination of rhythm necklaces and scale necklaces, I noticed a symmetry among the major scale modes: Lydian mode and Locrian mode are mirror images of each other. Does this geometric relationship mean anything musically? Turns out that it does. Lydian and Locrian are mirror images in feeling, not just as …
Rhythm Necklace
I have a thing for circular rhythm visualizations. So I was naturally pretty excited to learn that Meara O’Reilly and Sam Tarakajian were making an app inspired by the circular drum pattern analyses of Godfried Toussaint, who helped me understand mathematically why son clave is so awesome. The app is called Rhythm Necklace, and I …
Repetition defines music
Musical repetition has become a repeating theme of this blog. Seems appropriate, right? This post looks at a book by Elizabeth Hellmuth Margulis, called On Repeat: How Music Plays The Mind. It investigates the reasons why we love repetition in music. You can also read long excerpts at Aeon Magazine. Here’s the nub of Margulis’ …
Why is son clave so awesome?
One of the best discoveries I made while researching the Groove Pizza is the mathematician Godfried Toussaint. While the bookshelves groan with mathematical analyses of Western harmony, Toussaint is the rare scholar who uses the same tools to understand Afro-Cuban rhythms. He’s especially interested in the rhythm known to Latin musicians as 3-2 son clave, …
Can science make a better music theory?
My last post discussed how we should be deriving music theory from empirical observation of what people like using ethnomusicology. Another good strategy would be to derive music theory from observation of what’s going on between our ears. Daniel Shawcross Wilkerson has attempted just that in his essay, Harmony Explained: Progress Towards A Scientific Theory …
Is music the most abstract art form?
The Quora question that prompted this post asks: Why has music been historically the most abstract art form? We can see highly developed musical forms in renaissance polyphony and baroque counterpoint. The secular forms of this music is often non-programmatic or “absolute music.” In contrast to this, the paintings and sculpture of those times are …
What is the relationship between music and math?
Music is richly mathematical, and an understanding of one subject can be a great help in understanding the other. Geometry and angles My masters thesis is devoted in part to a method for teaching math concepts using a drum machine organized on a radial grid. Placing rhythms on a circle gives a good multisensory window …
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What does the human brain find exciting about syncopated rhythm and breakbeats?
Predictable unpredictability. The brain is a pattern-recognition machine. We like repetition and symmetry because they engage our pattern-recognizers. But we only like patterns up to a point. Once we’ve recognized and memorized the pattern, we get bored and stop paying attention. If the pattern changes or breaks, it grabs our attention again. And if the …
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Why is so much music written in 4-4?
I have a theory that what people find most interesting in music is self-reference, recursion and fractal-like scale-invariance. Rhythms based on powers of two are a great way to get this kind of recursion because they can be compounded or subdivided so easily. A bar of four can be treated as two bars of two, …