HARMONIC ANALYSIS AND PREDICTION OF TIDES 159 
The following example will illustrate the use of the table: To find 
constituent 2Q hours corresponding to solar hours 12 to 23 on 16th 
day of series. By the table we see that solar hour 12 of the 16th day 
of series is within the group beginning on solar hour 8 of the same day 
with the tabular difference of +19 or —5 hours, and that the differ- 
ence changes by —1 hour on solar hours 15 and 21, the latter being 
marked by an asterisk. Applying the differences indicated, we have 
for these solar hours on the 16th day of series: 
Solar hour-_-_-_- aS el SA ore G aes Uli/pmel Senin Oma 2 On eZ iE 2S 
Difference__-_. —5 —5 —5 —6 —6 —6 —6 -—6 —6 —7 —-7 —7 
Constituent 
2Q hour! - _- ie 8, eo Ge VOL IL, 2. ES? ase il Aoki? EG 
In the results it will be noted that the constituent hours 9 and 14 are 
each represented by two solar hours. If it should be desired to limit 
the representation to a single solar hour each, the hours marked 
with the asterisk should be rejected. 
To find constituent OO hours corresponding to solar hours 0 to 18 
on the 22d day of series. The 0 hour of the 22d day is in the group 
beginning on solar hour 14 of the preceding day with the tabular 
difference of +14 or —10 hours, and changes of +1 hour in the 
differences occur on solar hours 3 and 17 of the 22d day. It will be 
noted that the hour 3 is marked by an asterisk. Applying the 
differences from the table as indicated, we have for the 22d day 
of series: 
Solar hours O10) o12, 913) Taps 16ers i7 eas 
Derrek al fish 1s 418 448 Hie yas <9) <9) =o 9 oe, eo) 8 es 
Constituent 
Ollicues 149 °15,/ 16) “1s, 19) 20) 21, 92)) 23, 0 4, 2s a 5, 6, 7) (8 “40 
In the results it will be noted that constituent hours 17 and 8 are 
missing. If it is desired to have each of these hours represented also, 
the solar hours marked by asterisks will be used again. In this table 
the constituents have been arranged in accordance with the length of 
the constituent day. 
Table 32. Divisors for primary stencil sums.—This table contains 
the number of solar hourly heights included in each constituent hour 
group for each of the standard length of series when all the hourly 
heights have been used in the summation. 
Table 33. For construction of secondary stencils —Constituent A is 
the constituent for which the original primary summations have been 
made, and constituent B is the constituent for which the sums are to 
be derived by the secondary stencils. The ‘‘Page’’ refers to the page 
of the original tabulations of the hourly heights in Form 362. The 
differences in this table were calculated by formula (252), and the 
corresponding ‘‘Constituent A hours” from formula (250), m being 
assigned successive values from 1 to 24 for each page of record. 
Special allowance was made for page 53 of the record to take account 
of the fact that in a 369-day series this page includes only 5 days of 
record. The sign of the difference is given at the top of the column. 
For K-P and R-T the positive sign is to be used for constituents 
K and R and the negative sign for constituents P and T. 
For brevity all the 24 constituent hours for every page of record 
are not directly represented in the table. The difference for the 
omitted hours for any page should be taken numerically one greater 
