14 SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 128 



Only two of these, ratio values 20 and 26, have ever been included 

 in my weather investigations. 



Besides the 25 periods well evidenced among the 31 especially 

 sought for in solar variation, the following 14 with ranges of 0.05 

 percent or more were found in association with them : 



Ratio 15 22 32 42 44 52 54 57 



Range 0.06 0.08 0.08 0.08 0.05 0.08 0.08 0.05 



Ratio 60 63 72 76 102 117 



Range 0.06 0.06 0.05 0.05 0.05 0.06 



In addition to all these, the following 27 periods, with ranges of 

 0.04 percent or less, were removed from the 30 periods specially 

 investigated, being superriders: 



Ratios 26, 33, 35, 40, 48, 65, 66, 78, 81, 84, 90, 95, 105, 106, 112, 



Ratios 120, 134, 136, 144, 154, 156, 168, 170, 180, 209, 234, 273. 



Thus (omitting duplicates) in all 64 periods, integral submultiples 

 of 273 months were found with various strengths of evidence in the 

 variation of the solar-constant measures. The most convincing evi- 

 dences of the reality of these periodic variations in solar radiation 

 are found: First, in the smooth runs of the curves in figures i, 2, 3, 

 resulting from the elimination of the 41 periods just enumerated. 

 Second, the cumulative effect upon the mind of finding in solar varia- 

 tion 31 smooth periodicities, all aliquot parts of 273 months, to within 

 I percent. Third, in the fact that 20 of the especially sought and dis- 

 covered periods in solar variations are found identically, in large 

 percentage ranges, in weather features. In my future weather tabu- 

 lations, the lengths of the periods found in solar variation will be 

 followed exactly, not merely approximately, as heretofore. The fairly 

 large solar periodicities, 14, 15, 22, 32, 42, 52, and 54, not heretofore 

 used in weather, will be tested as possible weather periods. Numbers 

 20 and 26, hitherto used, will perhaps be omitted. Number 10 is 

 sometimes found strong in weather features, and sometimes only its 

 half, 27.3 months, appears. 



In figure 3, the curves are designated by the ratio numbers given in 

 table 3. All the curves in figure 3 are drawn to the same scale of 

 ordinates, and that scale is indicated by three scales of o.io percent 

 each. Three scales of abscissae are used, and these are indicated in 

 figure 3. The first group of periods, 34 to 6y, has the most open 

 scale. The two groups 24 to 30 and 14 to 21 have identical scales, 

 less open than used in the group 34 to 6y. All the longer periods, 2 to 

 12 inclusive, are given in months instead of decades. Of these, the 



