Download presentation
Presentation is loading. Please wait.
Published byLisa Neal Modified over 9 years ago
1
Sounds Like Fractals © MathScience Innovation Center 2007
2
Meet Patti. Listen to this music with her. The music has special patterns. Patti likes patterns.
3
Looking for Patterns Fractal Cent Fractal Dime Fractal Dollar Fractal Ten Dollars 0.01 0.101.00 10.00
4
1 1 1 1 2 2 2 2 2 2 3 3 3 3 4 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1
5
A sequence is a set of numbers in an order. 1, 3, 5, 7, 9, 11, ___ 13 1, 4, 1, 4, 1, 4, ___ 1 1, 3, 9, 27, 81, 243, ___ 729
6
A fractal sequence A pattern within a pattern within a pattern. The small parts look like the whole. 1 1 2 1 3 2 4 1 5 3 6 2 7 4 8 1 9 1 1 2 1 3 2 4 1 1 1 2 1 fractal
7
A fractal shape A pattern within a pattern within a pattern. The small parts look like the whole.
8
A fractal plant A pattern within a pattern within a pattern. The small parts look like the whole.
9
1 1 1 1 2 2 2 2 2 2 3 3 3 3 4 1 1 1 3 0 2 2 2 0 1 1 2
10
A sequence is a set of numbers in an order. The sequence of numbers your team has produced is cool… it has a special name- Morse-Thue
11
Time to Make Waves
12
Full cycle Full to and fro movement There and back Complete wave
13
How many full cycles? 3 cycles3 waves
14
Pressure or density Which sound do you think has the higher frequency? time low high
15
Pressure or density Which sound do you think has the higher pitch? time low high
16
Pressure or density Which sound do you think sounds louder? time soft loud
17
Recap: Sound is caused by _________________ of matter vibrations The faster the vibration, the higher the _________________________. frequency or pitch The bigger the vibration the __________ the sound. louder
18
Making Music
19
E Notes: F G A B flat C D E F Higher Pitch Shorter Pipe G
20
Let’s Hear Our Fractal Sequence 0 = C E 1 = C E G 2 = D F A 3 = E G B 4 = G B 0 1 1 2 1 2 2 3 1 2 2 3 2 3 3 4
21
Let’s listen to our fractal sequence!
22
Twinkle, Twinkle Little Star F melody CCD CC D C harmony AABBA F Twin-kle,Twin-kle lit-tle star
23
melody GF harmony BBAAG GFGFEEC Twinkle, Twinkle Little Star How I won-der what you are
24
melody C C G harmony AABB AA G FG F C Twinkle, Twinkle Little Star Up a-bove the world so high
25
F melody CCD CC D C harmony AA BB A F Twinkle, Twinkle Little Star Like a dia-mond in the sky.
26
melody GF harmony BBAAG GFGFEEC Twinkle, Twinkle Little Star Twin-kle,Twin-kle lit-tle star
27
melody C C G harmony AABB AA G FG F C Twinkle, Twinkle Little Star How I won-der what you are.
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.