Motivation Help students understand mathematical patterns Help
students develop numeric, symbolic, functional and spatial concepts
Provide students experiences where they can connect classroom
learning to life experiences Enable students to construct knowledge
of mathematics through exploration of ideas Foster positive student
attitudes.
Slide 4
Building Music Mathematically involves spatial-temporal
reasoning the ability to visualize patterns, come to solutions and
understand multi-stop problems.
Slide 5
Music is one of the most widely-acknowledged uses of
spatial-temporal reasoning. Individuals who write music often
visualize notes as a large puzzle, fitting different fractions of
notes and rests together to create a whole piece of music.
Slide 6
Using Mathematics to Map Numbers to Musical Notes Understanding
of number bases. Understanding of modulo math. The ascii code
Functions or equations
Slide 7
Tools Number bases. Modulo math. The ascii code Functions
Symmetry properties Fractals
Slide 8
Using the Ascii Code Find the decimal representation of the
letters of your name C = 67 y = 121 n = 110 t = 116 h = 104 i = 105
a = 97
Slide 9
Choose a key Key of C C D E F G A B Since Im not teaching music
or music theory, I like to keep this part simple. We want to map
numbers into notes, beats, or chords.
Slide 10
F C G D A E B F 1 2 3 4 5 6 7 0
Slide 11
Or Using Garage Band on iPad Smart Strings Chords E m A m D m G
C F B b B dim 1 2 3 4 5 6 7 0
Slide 12
Convert Your Name to Mod 8 C = 67 67 3 mod(8) G y = 121 121 1
mod(8) F n = 110 110 6 mod(8) E t = 116 116 4 mod(8) D h = 104 104
0 mod(8) F i = 105 105 1 mod(8) F a = 97 97 1 mod(8) F
Slide 13
Cynthia iPad Piano Garage Band
Slide 14
Using the notes or chords we can build a musical phrase
Slide 15
Using Symmetry Properties Translation: GFEDFFF GFEDFFF
GFEDFFF
Building Your Musical Phrase Using Symmetry Properties
Translation Verticle reflection Horizontal reflection Rotation
Slide 31
Slide 32
Bongo Your Name Convert your name to base 3 C = 67 2 1 0 1 y =
121 1 1 0 2 1 n = 110 1 1 0 0 2 t = 116 1 1 0 2 2 h = 104 1 0 2 1 2
i = 105 1 0 2 0 0 a = 97 1 0 1 2 1
Slide 33
Fractal Music Using L system Variables G F 1 E D F 2 F 1 Create
Rules: Let: G F 1 E E DF 2 F 2 F 1 F 1 G D F 2
Slide 34
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Slide 36
STEAL OTHER PEOPLES IDEAS! From ABACABA Music GFEDFFF G GFFG
GFEEFG GFEDDEGF GFEDFFDEFG GFEDFFFFDEFG GFEDFFFFFFDEFG
Slide 37
Cynthia in Base 4 C = 67 1003 4 y = 121 1321 4 n = 110 1232 4 t
= 116 1310 4 h = 104 1220 4 i = 105 1221 4 a = 97 1201 4