Harmonics: Theoretical Cycles Periods
Based on the Harmonics theory prediction of many ratios of 2 and 3 and less frequent ratios of the other primes the following table shows the pattern of the most common cycles. To arrive at these figures I have taken account of many hundreds of cycle period determinations and believe that the values should be accurate to 0.1% over long periods. All figures are in years.

Ratios of 2 occur horizontally and of 3 vertically. Between each section of the table there is a ratio of some other prime shown out to the right. Not quite all the periods are shown in this way as sometimes these larger primes occur in a different order. For example I suspect that the 9.6 year cycle is .7414*13 = 9.638 years.

The strongest cycles are generally in the line running from top left through the middle to bottom right in each block. However in each different discipline there are variations. For example, solar activity has more periods from the upper right of each group and stock markets more from the lower left. 

55520  27760
        9253   4626   2313   1157
        3084   1542    771.0
        1028    514
                171.3
                                                                 (*13)
 4270   2135   1068    533.8
         711.7  355.9  177.9   88.97  44.48  22.24  11.12
                        59.31  29.66  14.83   7.414
                        19.77   9.885  4.943
                                                                  (*5)
         427.0  213.5  106.8   53.38  26.69
         142.3   71.17  35.59  17.79   8.897  4.448  2.224
                 23.72  11.86   5.931  2.966  1.483  0.7414
                  7.908  3.954  1.977   .9885  .4943  .2471
                                 .6590  .3295  .1648  .08238
                                                                   (*7)
                  3.389  1.695   .8473  .4237  .2118
                          .5649  .2824  .1412  .07061 .03530 .01765

 Return to Ray Tomes index page