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Rhythmic Variations: a mathematical / music-theoretical exploration (part 1)

9/17/2019

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 Note: all musical examples in this post can be played back by opening the page here. 

Motivation: Rhythm gets short shrift!
Lately, I've been thinking a lot about rhythm! In a traditional study of music theory, one learns a ton about harmony but very little about rhythm beyond some very basics. Similarly, in studying music history, there's an overemphasis on the harmonic trajectory of Western music, but almost no attention to its rhythmic evolution. And yet often the most salient difference between musical styles is rhythmic. Especially when one considers folk and popular music of the past century, there's a surprising continuity of harmony! Rhythm, however, is another matter.

The point: Math is useful (and fun!) for building on intuition about rhythm and syncopation
This post and the next approach rhythm from a mathematical standpoint, starting with an example of a piece I wrote recently in comparison to one of Bach. In using variations of the main rhythmic theme, I realized most of them were syncopated; this post explains some of the math that backs up that intuitive realization, compares the theme to its obvious Bach counterpart, and motivates further exploration of the topic.

The details:
Here's the new piece:
Here's the main theme at the beginning (ex. 1):
Picture

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Summer '19 new music: Syncopated Suite (5th movement)

9/5/2019

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Here's the fifth of the recently-completed six-movement "Syncopated Suite"! It starts out like a Gavotte from a Bach suite, but the rhythmic style again evolves into something different! More about this suite coming soon!
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Summer '19 new music: Kunst Der Mary #3

9/5/2019

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It's another "Mary Had a Little Lamb." Don't be fooled by the opening; the piece evolves gradually (and I hope seamlessly) in rhythmic style as it progresses, adding more and more syncopation.
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Summer '19 music: New Ragtime(ish)

8/30/2019

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Starts with ragtime-style rhythms but turns into something else entirely. Much of the piece is based on  conflicting (between the hands), and ever-changing rhythmic cycles that create not only syncopations but other similarly unpredictable rhythmic accents. The whole piece coming soon...
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Summer '19 new music: Etude for the Left Hand Alone

8/30/2019

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Summer '19 new music: Very Contemporary (a parody)

8/30/2019

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If you look a few posts below, you'll see a long, grumpy rant about the politics and aesethetics of contemporary music. In the piece below I've distilled the essence of that rant into music!

​Oscar Bettison is a Guggenheim award winner and professor of composition at one of the top conservatories in the country, and one time I attended a concert with this piece on the program:
Did you listen to the whole thing? Or give up after like 30 seconds? Rather than continue to tell you what in detail what I think of the piece, I wrote this revised and condensed parody instead! 
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Summer '19 new music, part 2: Blues-counterpoint

8/29/2019

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Another new piece, with a mix of swing rhythm, blues harmonies (to start), but Bach influence too, of course! And it ends with a comic, (really, kind of ridiculous) waltz. A rough 1st take phone recording
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New piano music from summer 2019, #1: Kunst der Mary

8/25/2019

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This summer, I've been blessed with the time and the inspiration to write more piano music than ever. I've started sharing most of these new pieces in snippets on my public facebook page, but for those who (including me) think facebook might be evil, I'm putting them here too! Here is one of the first of the summer, my second piece on the simple tune "Mary Had a Little Lamb." (Here's the first, from 2016)
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Practicing piano, part 1: finding (and practicing!!) different layers

2/25/2019

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Note: This is the first in a series of practical posts for student pianists and piano teachers. I hope you'll find it interesting as a general music aficionado, but unlike most posts on this page it's not geared toward the listener, and you might therefore find it a bit dry unless you play the piano!

​One of the principal tasks of the pianist is to clearly show and make as clear as possible the different layers in a piece of music. Here is a basic example from Chopin's Nocturne, op. 9/2


In this case it's important to clearly show the bass line separately from the chords played in the left hand, and the melody separately as well from the two left hand parts, like this:


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Innovation: the false idol of contemporary (and Baroque, and Classical, and Romantic...) music

5/18/2018

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"I'm interested in any crazy, creative idea beyond normal imagination," says conductor Long Yu in a New York Times article about the New York Philharmonic premiere of a concerto for violin, percussion and two ping-pong players by Andy Akiho. "Classical music needs more like this."

Does it, though? [Ron Howard voice-over: No, it doesn't] 

For a long time, the dominant mindset in contemporary concert music has been one of heavy-handed and sometimes downright frivolous convention-breaking. This mindset ignores an obvious problem: once convention-breaking is common, it's not only aesthetically problematic, it's also its own convention, and therefore self-defeating as an artistic goal. Classical music doesn't need more of that, it needs less! Music should get back to drawing people in the way it traditionally did in the past, with depth of emotion, beauty and subtle ingenuity. It may not be as easy as adding ping pong to a concerto, but it's definitely worth the effort.

This post got kind of long, so here's a tl;dr summary for those who aren't ready to commit to a long read, or only have 30 seconds to spare:

1. The culture of contemporary classical music (or a highly influential subset within it) is obsessed with  an often cheap, surface-level notion of innovation.

2. This modern version was not much a value to musicians and composers before the early-mid 20th century (not coincidentally, when contemporary music lost its way and became wildly unpopular). Nor is it the reason that we appreciate and love past composers' music. Today's musicians and historians betray their modern bias in trying to force a norm-breaking narrative into music history.

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