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Circular and linear progressions, college study notes - Circular and linear progressions, Study notes of Calculus

Study Material. In classical music, chaconnes, passacaglias and theme and variations incorporate circular progressions. Each time the progression is played, it is expressed in a new way. This excerpt from Georg Friedrick Handel's Passacaglia in g-minor cycles the harmonic progression four times. Circular and Linear Progressions, Connexions Web site. http://cnx.org/content/m35093/1.1/, Aug 12, 2010. Circular, Linear, Progressions, Robert, McClure, Woogie, Boogie, Bar, B

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Connexions module: m35093 1
Circular and Linear Progressions
Robert McClure
This work is produced by The Connexions Project and licensed under the
Creative Commons Attribution License
note:
Please note that you must have the most recent copy of Macromedia's Flash plugin installed
to play the musical examples.
A
circular progression
cycles the same harmonic pattern over and over again: The harmonies revolve like
a spinning merry-go-round.
Circular progressions
are common in commercial music. The theme song from the television series
The Oce is based on one.
Example 1
This media object is an audio le. Please view or download it at
<http://cnx.org/content/m35093/1.1/Oce>
Circular progressions
are also ubiquitous in improvisatory and participatory music: They allow for in-
dependence and spontaneity within a shared, reliable framework. Jazz's
12-bar blues
and
Boogie-
Woogie
bass-line are iconic examples.
Example 2
This media object is an audio le. Please view or download it at
<http://cnx.org/content/m35093/1.1/Boogie>
In classical music, chaconnes, passacaglias and theme and variations incorporate circular progressions. Each
time the progression is played, it is expressed in a new way. This excerpt from Georg Friedrick Handel's
Passacaglia in g-minor
cycles the harmonic progression four times.
Example 3
This media object is an audio le. Please view or download it at
<http://cnx.org/content/m35093/1.1/Handel04>
In this excerpt from Sergei Prokoev's
Violin Concerto No. 2
, the solo violin traces its languorously
evolving melody over a
circular progression
, which cycles eight times. Only in the last cycle is there is a
small change in the
harmonic progression
.
Example 4
This media object is an audio le. Please view or download it at
<http://cnx.org/content/m35093/1.1/Prokoev01>
On the other hand, a
linear progression
keeps changing, incorporating new chords and patterns. This
excerpt from Wolfgang Amadeus Mozart's
Piano Concerto No. 24 in c-minor
is a
linear progression
.
Version 1.1: Aug 12, 2010 2:37 pm GMT-5
http://creativecommons.org/licenses/by/3.0/
http://cnx.org/content/m35093/1.1/
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Connexions module: m35093 1

Circular and Linear Progressions

Robert McClure

This work is produced by The Connexions Project and licensed under the Creative Commons Attribution License †

note: Please note that you must have the most recent copy of Macromedia's Flash plugin installed to play the musical examples.

A circular progression cycles the same harmonic pattern over and over again: The harmonies revolve like a spinning merry-go-round. Circular progressions are common in commercial music. The theme song from the television series The Oce is based on one. Example 1 This media object is an audio le. Please view or download it at <http://cnx.org/content/m35093/1.1/Oce>

Circular progressions are also ubiquitous in improvisatory and participatory music: They allow for in- dependence and spontaneity within a shared, reliable framework. Jazz's 12-bar blues and Boogie- Woogie bass-line are iconic examples. Example 2 This media object is an audio le. Please view or download it at http://cnx.org/content/m35093/1.1/Boogie

In classical music, chaconnes, passacaglias and theme and variations incorporate circular progressions. Each time the progression is played, it is expressed in a new way. This excerpt from Georg Friedrick Handel's Passacaglia in g-minor cycles the harmonic progression four times. Example 3 This media object is an audio le. Please view or download it at http://cnx.org/content/m35093/1.1/Handel04

In this excerpt from Sergei Prokoev's Violin Concerto No. 2 , the solo violin traces its languorously evolving melody over a circular progression, which cycles eight times. Only in the last cycle is there is a small change in the harmonic progression. Example 4 This media object is an audio le. Please view or download it at <http://cnx.org/content/m35093/1.1/Prokoev01>

On the other hand, a linear progression keeps changing, incorporating new chords and patterns. This excerpt from Wolfgang Amadeus Mozart's Piano Concerto No. 24 in c-minor is a linear progression.

∗Version 1.1: Aug 12, 2010 2:37 pm GMT- †http://creativecommons.org/licenses/by/3.0/

http://cnx.org/content/m35093/1.1/

Connexions module: m35093 2

Example 5 This media object is an audio le. Please view or download it at http://cnx.org/content/m35093/1.1/Mozart23

Circular progressions are frequently used for sustaining a mood or elaborating on a state of mind. Linear progressions serve a stronger narrative purpose: They allow the music to progress to new destinations and incorporate greater contrast. Most commercial songs consist of circular progressions: The words may tell a story but the harmony generally revolves in a circle. In contrast, classical music generally incorporates both types: As a result, the music itself can tell an expansive, evolving tale.

http://cnx.org/content/m35093/1.1/