MATH
Lesson 9
Lesson Title: Serialism and Symmetry
Synopsis: In this lesson the concept of symmetry will be reinforced by having the students create short musical compositions in using the serialism process for musical composition. All students compositions will display three types of symmetry: retrograde (mirroring), inversion, and inverse retrograde (mirroring).
Authors: J. Frankel & K. O’Malley
Interdisciplinary Pairing: Mathematics & Music
Objectives:
- Students will compose a serialism composition that incorporates symmetry
- Students will discuss the aesthetic qualities of serialism
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Prior Knowledge & Skills:
- Students should have successfully completed Lesson 8 - Symmetry in Music
- Basic knowledge of notation software
Equipment:
- Computers with notation software such as Sibelius, Finale, or Finale NotePad
- USB Keyboard controllers
- Internet access
Duration:
This lesson takes place over three 45-minute class periods.
Materials:
- MusicTheory.net - Matrix Generator
- Serialism definition - Wikipedia
- Teaching Serialism with Technology article
Procedure:
Day 1:
- Students will generate tone rows utilizing the Matrix Generator on www.musictheory.net
- Teacher will describe the process of composing using the fundamentals of Serialism
- Students will begin composing using their tone rows
Day 2:
- Students will extend their compositions by using symmetry, including: retrograde, inversion, and inverse retrograde
- Students will be given ample time to complete their compositions
Day 3:
- Students will perform their finished compositions for the class
- Students will discuss the finished compositions in terms of aesthetics and whether music created with math can be aesthetically pleasing
Evaluation:
- LESSON 9 SCORING RUBRIC
Lesson Extension:
- Students could create musical compositions in the style of J.S. Bach and incorporate symmetry into them
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