Those are good questions and I’ll try to answer them as best I can.
Firstly, my results will almost always be different from, but similar to, ST users. The difference stems from the underlying assumption as to what constitutes a price wave. ST uses a “pattern recognition” algorithm whereas filters mathematically extract the waves from the price itself. One of the larger differences is manifested in the fact that ST hard codes the synchronicity principle even though Hurst stated that it was just a “strong tendency.” It is mathematically impossible to have always synchronized lows using filters. This is not meant to be a criticism of ST, which I think is a spectacular piece of software, but merely to highlight some of the differences.
Based on the above, your statement about my filter analysis implying an 80 week low in July is incorrect. Another distinguishing characteristic of the filter approach is that the price waves are not restricted to a simple harmonic relationship in the time domain by a factor of two. They frequently create complex harmonic relationships with neighboring price waves over long runs of data. The chart below shows the 80 week wave in the S&P500 back to the 2007 high. Notice for several years it had large amplitude and was visually evident in the price action. However beginning with 2012 4 year low (red square), the amplitude shrank to almost nothing over the next 4 year cycle. It did not phase to the 2016 4 year low, which is rare but not unprecedented. The most recent one and a half oscillations has it phasing to somewhat visually evident highs.
When I see a diminution in amplitude of a price wave, I just look at the longer and shorter waves to determine which one is “visually evident” in the price action. Presently the 40 week price wave is exhibiting consistent amplitude over the past year or so and of course the 5 week price wave. When there is a “squeeze” it is eventually followed by an expansion. This usually occurs when a much larger wave changes direction. You see it most often at highs.
I could go on but I don’t want to be too verbose. Hope this helps.