The harmonics of two are as such:
1, 2, 4, 8, 16, 32, 64
Cycles are merely sequences;
sequences can be arithmetic, geometry, or some other variation ( harmonic for example is 1/n).
[1,2,3,4,5,6,7,8,9] is a sequence. If we are looking at the idea of cycles in terms of the time duration between highs, lows, highs to lows, or lows to highs, we could measure out the duration of a high to high using that as the base one unit.
[1,2,4,8,16,32,64] is also a sequence; this is a geometric sequence with the factor being two; likewise as the above scenario, we could take the first measurement, and use it as a base unit.
Explore the different sequences, and explore the relationships of price and time: time from high to high; time from low to low; time from high to high to low to low to high; price from high to high; price from high to low; price from low to low.
Some sequences to start off are
1,2,3,5,8,13,21; n = (n-1) + (n-2)
1,1.414, 1.73, 2, 2.23; n = sqrt(n)
.236,.382,.618,1,1.618,2.618; n = 1.618n
In-exhaustive book list
Law of Vibration - Tony Plummer
Michael Jenkins - Geometry of Stock Market Profits, Chart Reading for Professional Traders, Complete Stock Market Forecasting Course
Scott M. Carney - The Harmonic Trader, Harmonic Trading Volume I, Harmonic Trading Volume II, Harmonic Trading Volume III
H.M. Gartley - Profits in the Stock Market
Bill Wiliams - Trading Chaos, New Trading Dimensions, Trading Chaos 2nd Edition
J.M. Hurst - The Profit Magic of Stock Transaction Timing, Cyclic Analysis: A Dynamic Approach
Disclaimer: Not financial advice, no warranties of merchantability, profitability, or probabilities.