
Harmonic Structure Home  The Modified Structure  Extended Waves  Failed Fifths  Alternation  Wave B  Fibo and Harmonics
FIBONACCI AND HARMONIC RATIOS
The application and use of both Fibonacci and harmonic ratios is central to the understanding of the Harmonic Wave Structure
and the core of the ability to forecast with greater accuracy. Until this point Fibonacci ratios have been used in their raw form
have been used to generate targets. However, this is where most practitioners realize that something is wrong and then
descend into eyeballing the wave structure and making claim to a wave count. Unfortunately this is where it all falls apart. How
to use these ratios and where is important to the generation of targets. Below is a copy of a spreadsheet in which the
Fibonacci sequence can be seen at the far left. Then, in accordance to Fibonacci's observations he divides each number in
the sequence by the following number, then the 2nd, 3rd and so on. These generate the ratios below which most analysts
recognize. These are the ratios below 100%.

USING THE RATIOS
Through many years of frustration and intense research in noting wave structures and their relationships I
discovered that projections develop not only in the known 161.8%, 261.8% and 423.6% but more frequently
as a ratio that is the simply by adding a sub100% ratio to 100%, 200%, 300% etc.
Harmonic ratios are simply related to the square root of two. To 5 decimal places this number is: 1.41421. I
shall not make a full explanation here since I am not a competent mathematician and suggest you search the
web. However, what I have discovered is that the same sort of use of this ratio works exceptionally well in
Harmonic Elliott Wave. By just taking the 41.4% and its reciprocal 58.6% these can be applied in corrections.
APPLICATION OF RATIOS
Retracements:
Any ratio below 100% may be seen in Wave (ii) and Wave (b) corrections
Projections:
Wave (c) Commonly any ratio between 85.4% and 161.8%
Wave (iii) Most commonly between 176.4% and 195.4% also 261.8% and 295.4%
Wave (iv) Dependent on alternation, mostly between 14.6% and 58.6%
Wave (v) Commonly between 61.8% and 76.4% of the distance from the start of Wave (i) to the end of
Wave (iii) The frequency of exact wave equality targets in Wave (c) are very low and more often stall just below (85.4%, 94.4%) or just above (105.6%123.6%.)
APPLICATION OF RATIOS
The key to forecasting is to ensure that the projections in Wave (c) also match with projections in Wave (iii)
and Wave (v). It will also be important to ensure that Wave v of Wave (c) will also indicate the same target
areas...
Retracements provide a greater challenge as at the start of the correction it will be impossible to know
whether this will be a simple ABC, double zigzag, triple three or one of the complex patterns. Given Wave (ii)
and Wave (b) can retrace just about anywhere between 9.0% and 100% the challenge is made even more
complex.



