Blue Rondo a la Turk

Shawna Kennedy left a comment on my previous post on music in odd meters that made something click. She pointed out that in Turkish and Romany music, 9/8 is often divided as 2+2+2+3, unlike the Western triple-triple feel (3+3+3). That style of 9/8 music would be an “odd meter” while other 9/8 music would not. When I read her comment about “1-2, 1-2, 1-2, 1-2-3,” Dave Brubeck’s tune Blue Rondo à la Turk started playing in my head. I love that song. I first heard it over 20 years ago and I still whistle it fairly often. My kids probably recognize the tune even though they haven’t heard the recording.

Now I finally get what “à la Turk” means. It must be a reference to the Turkish rhythm of the 9/8 theme. You can hear a short excerpt of Blue Rondo à la Turk at here.

Update: The article on Blue Rondo in Wikipedia says that it was based on Mozart’s Rondo alla Turca. I listened to Mozart’s rondo. It’s a famous tune — you’d probably recognize it — but I didn’t know it by name. I would never have drawn a connection between the Mozart rondo and Brubeck’s rondo. Maybe the Wikipedia article is wrong, or maybe Brubeck’s imagination moved pretty far from his inspiration.

Music in 5/4 time

Time signatures in music are written like fractions. The numerator tells how the beats are grouped into measures. For the vast majority of Western music in every genre — popular, classical, jazz, country, etc. — this numerator is divisible by 2 or 3, but hardly ever by any other prime numbers. Musicians call exceptional time signatures “odd meters” though this is misleading. When they say “odd” they mean “odd numbers other than powers of 3.” For example, musicians would not call 9/8 and odd meter, but they would call 7/8 or 11/8 odd.

The most popular piece of music by far written in 5/4 time was Dave Brubeck’s Take Five. It sold over a million records in 1961 and continues to be popular 50 years after it was written.  Here’s a video of the Brubeck Quartet performing Take Five in 1966.

[Update: video removed]

And here is a mind-bending mash up of Take Five by Radiohead. (Thanks to @explicitmemory for the link.)

Some music written in odd meters sounds like an intellectual exercise rather than a beautiful tune. The music of Dave Brubeck is a notable exception. In addition to Take Five, he composed other popular music in odd meters, such as Unsquare Dance written in 7/4.  (Listen to a sample of Unsquare Dance here.) Another song in 5/4 I enjoy is “How Deep the Father’s Love for Us” recorded by Sarah Sadler.

Theme songs for action movies sometimes have music written in odd meters. For example: Mission Impossible, Mod Squad, and The Incredibles.

Update: See the follow-up post on Blue Rondo à la Turk.

Related: Psychoacoustics

Logarithms, music, and arsenic

Scientific American has an article suggesting that our natural sense of numbers may operate on a logarithmic scale rather than a linear scale.

It has long been known that our senses often work on a logarithmic scale. For example, sound intensity is measured in decibels, a logarithmic scale. Pitch is perceived on a logarithmic scale, as the Pythagoreans discovered. When moving up a chromatic scale, it’s not the differences in frequencies but the ratios of frequencies that are constant. An octave is a ratio of 2 to 1, so a half step is a ratio of 21/12 to one since there are 12 half step in an octave.

The Statistical Modeling, Causal Inference, and Social Science blog gives an interesting example combining linear and logarithmic perceptions. They quote a study suggesting that when deciding whether to walk to a new well based on information regarding arsenic levels, Bangladeshis perceived “distance to nearest safe well” linearly but perceived “arsenic level” logarithmically.

Michael Brecker

When I was in college, my saxophone teacher recommended I study Michael Brecker. I enjoyed his music, especially his recordings with Steps Ahead, but for some reason I quit listening to Brecker sometime after college. Then earlier this year I bought Brecker’s last album Pilgrimage after reading a glowing review.

Brecker recorded Pilgrimage as he was dying of leukemia, but there’s nothing morbid about the album. It’s upbeat, complex, and beautiful. Brecker spent his final days pursuing his art surrounded by friends.