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©2004 Aerodynamic Investments Inc

Title Animation & Music
(Use your Back Button
after viewing)
The animation has won several awards!

A Detailed Science and Math Timeline
(key dates and names in chronological order)

INTRODUCTION


2- The question that began this work.
3- The Gann Square of Nine forms the base of a Pyramid. View a movie showing the Fractal Properties of a Pyramid Model

5A- Galileo's Notes on Motion showing Gann's Price/Time Equivalence
5B- Original Pages in Galileo's Book that record for the first time the 4 moons of Jupiter in an orbit. (Vatican Library)

6- Euler continues the work of Galileo and states Fibonacci number series can be found in music

more Fibonacci in music
Béla Bartok
Fibonacci ratio in Beethoven's 5th Symphony
Beethoven's perfect 1.618 ratio in the 5th Symphony

Intro - Euler's work that shows how to convert music to mathematics

A chart showing that Gann Angles and Cyclical Octaves have the same mathematical foundation.

Euler to Pythagoras

Fibonacci numbers are common in many musical scales. This page will help you explore this.
Next listen to two very different scales derived from Pythagorean Intonation below. Each has the ratios .382, .50, and .618 in their scales!

Japan (music)
Tibet(music)

Learn How Pythagoras discovered the Golden Ratio by Sound in 560 BC



DECODING
GANN's WHEEL


(to understand the mathematical construction of Gann's Wheel requires music theory. See the next three links below.)
1- Music Math I

2- Music Math II
3- Music Matrix III


The Gann Hexagon and Square of Nine are both Icosahedrons whose external coordinates are all 0, 1 or -1 and Phi (1.618). This was a 3-dimensional shape known to Pythagoras.

4- Explore the GANN Wheel with a Dynamic Model. Don't miss How To Use Gann's Wheel on the page bottom

The Great Pyramid
and the Square of Nine have a connection. The Wheel was reportedly used to price rice in the time of the Ancient Egyptians. The problem and link that follows makes this even more intriguing. The solution to the problem defined below was the same solution for the ninety degree angles within Gann's Wheel.

a major problem is uncovered...
1 - Pyramid Dimensions
2 - Pyramid: A Linear Model
3 - Pyramid: Problem Discovered
(also view an animated movie to study the fractal properties of a
pyramid.)
4 - The Pythagorean Theorem - a review

working towards a final solution....
5- Pyramid - MathCad
6- Pyramid - MathCad Computer Solution
7- Pyramid - a 360 degree movie from the top of The Great Pyramid in Giza
8-Pyramid - JPL/NASA photograph from space

Animated Movie of Gann's Square of Nine Decoded Wheel
Copyright, (c) 2000
Aerodynamic Investments Inc


ONE CHART
APPLICATION
(3-Dimensional Bar Charts - DJIA)

OCTAVE Chart 1
OCTAVE Chart 2
OCTAVE Chart 3
OCTAVE Chart 4

FIBONACCI PRICE PROJECTION
SP Symmetry
BD Fibo Support
SP Fibo Resistance
Fibonacci DJIA
Harmonic Table1
Harmonic Table2
Market Reaction
SPM0 March 9
SP March 15/00

MARKET HARMONICS I
Long Horizon Harmonic Chart Applied in Real-Time Analysis
Short Horizon Chart plus movie

MARKET
HARMONICS
II
Elliott Wave I - Balance/Symmetry
Elliott Wave II- Complex Wedge

Ibn al-Haytham- Geometry of Arcs
Trend Analysis
Based on Harmonics

RSI Oscillator 1
RSI Oscillator 2
RSI Oscillator 3
RSI Oscillator 4
Dissonance Filtering
for Oscillators


Fractal/Chaos +Mandelbrot Movie
Euler Formula +Fractal Pictures

Composite Index
Composite Range

Reverse Engineering a $/Yen Chart
Reverse Engineering Results plus a film

GANN, PHI (1.618) AND UNIVERSAL APPLICATIONS
Email from Turkey
Gann/Galileo Octv
Phi Ø, 1.618 between Planets
SPM0 vs Cluster
1-True Octaves
2-Electromagnetic
3-Periodic Table
4-Periodic Octaves
Email Reply + Enterprise Movie

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