92 U. S. COAST AND GEODETIC SURVEY 
the ratio of K, +0, to M,-+S,. While the relation of M; to §, differs in different places, 
an approximate relation is S,=0.4M>. If this value of S, is substituted in the formulae 
defining the different types of tide, the semidaily tide has a ratio of K,+0O, to Mz less 
than 0.35, the mixed tide a ratio between 0.35 and 2.10 and the daily type a ratio 
greater than 2.10. In round numbers therefore the ratio of K, +O, to Mz is less than 0.5 
in the semidaily tide, between 0.5 and 2 in the mixed tide and greater than 2 in the daily 
tide. 
With the ratio of K,+0, to M; given, the periodic change in the range of the tide 
may be calculated and tabular values derived for each year. Table 5 gives these factors 
for each year of the 50-year period 1931 to 1980, calculated from Tables 6 and 14 of 
Harris’ Manual of Tides. The tabular values may be calculated to yield factors which 
will give the range in the respective years, or the reciprocals of those values, which will 
then be the factors to correct the range observed in a given year to mean value. The 
latter factors are obviously more convenient for use in determining mean high water 
and it is these factors that are given in Table 5. 
TABLE 5.—Factors for correcting the range of tide to mean value. 
oN. E01 0.0 0.3 0.5 0.7 0.9 11 1.3 1.5 1.7 1.9 
“Me to to to to to to to to to to 
Year SS 0. 4 0.6 0.8 1.0 2 1.4 16) 1.8 2.0 
Ss be 
LOSES Son ee 1. 029 1. 028 1.026 1.023 1. 020 1.017 1.013 1.008 1.001 0.994 
1930 eee ee 1. 029 1.028 1. 026 1. 023 1.020 1.017 1.013 1. 008 1.001 0. 994 
1039 suena aa 1.026 1. 026 1.024 1.021 1.018 1.015 1.011 1. 006 1.001 0. 995 
193 4mae re 1. 020 1.019 1.018 1.016 1.014 1.011 1. 008 1.005 1. 001 0. 996 
OSH eae 1.011 1.011 1.010 1.010 1.008 1.007 1.005 1. 003 1.001 0. 998 
NOR Ate 2 eee 1. 002 1. 002 1. 002 1.001 1.001 1.001 1.001 1. 000 1. 000 1. 000 
1037 aeee ee 0. 991 0.991 0. 992 0. 992 0. 994 0. 995 0. 997 0. 998 1. 000 1.001 
LOSR Meare ele ae 0. 981 0. 982 0. 983 0. 985 0. 988 0. 990 0. 993 0. 996 0. 999 1. 003 
Ope 2 See 0.975 0. 976 0. 977 0. 980 0. 983 0. 986 0. 989 0. 993 0. 999 1. 005 
1O40 Se eee 0. 971 0. 972 0. 974 0. 976 0. 979 0. 983 0. 987 0. 993 0. 999 1.006 
TY. ls a a 0. 971 0. 972 0. 974 0. 976 0. 979 0. 983 0. 987 0. 992 0. 999 1. 006 
G4 DERE re Pak 0. 972 0.973 0.975 0. 977 0. 980 0. 984 0. 988 0. 993 0: 999 1. 006 
[O43 es A BS 0. 977 0. 978 0. 979 0. 981 0. 984 0. 987 0. 991 0. 994 0. 999 1.005 
Ty. VAs See ee 0. 985 0. 985 0. 986 0. 987 0. 990 0. 992 0. 994 0. 997 0. 999 1. 003 
TOYA. = G0 els 0. 995 0.995 0. 995 0. 996 0. 996 0. 997 0. 998 0. 999 1. 000 1.001 
1946 Sense 1.005 1.005 1.005 1. 004 1.004 1.003 1.002 1. 001 1. 000 0. 999 
1947 Biss 1.014 1.014 1.013 1.012 1.010 1. 008 1. 006 1. 004 1.001 0. 997 
AO4QEioa eee 1. 023 1. 022 1.021 eB 1.018 1.016 1.013 1.009 1. 006 1.001 0. 996 
19492 eS 1. 028 1. 027 1.025 1.022 1.019 1.016 1.012 1. 007 1.001 0. 995 
O50 Dake ew a 1. 029 1.028 1.026 1. 023 1.020 1.017 1.013 1. 008 1. 001 0. 994 
[OF et ees 1. 028 1. 027 1.025 1. 023 1. 020 1.017 1.013 1. 008 1.001 0. 995 
G5 ee eee ee 1.025 1. 024 1. 022- 1. 020 1.017 1.014 1.010 1. 006 1.001 0. 996 
NOS ae ee 1.017 1.016 1.015 1.014 1.012 1.010 1.007 1. 004 1.001 0. 997 
tO Fae Ee Co 1.008 1. 008 1. 008 1. 007 1.005 1. 004 1.003 1. 002 1. 000 0. 998 
1955 Lee ee 0. 998 0. 998 0. 998 0. 998 0. 998 0. 999 0. 999 1. 000 1.000 1.000 
TOR Genres sie 0. 987 0. 987 0. 988 0. 990 0. 992 0. 994 0. 996 0. 998 1.000 1. 002 
O05 eee eee 0.979 0. 980 0. 981 0. 983 0. 985 0. 988 0. 991 0. 995 0. 999 1. 004 
LOSS eee ees 0. 972 0. 974 0. 976 0. 978 0. 981 0. 984 0. 988 0. 993 0. 998 1.005 
TORQULE SSeS 0.971 0. 972 0.974 0. 976 0. 979 0. 983 0. 987 0. 992 0. 999 1. 006 
TOGO Sena eee 0.971 0. 972 0. 974 0. 976 0. 979 0. 983 0. 987 0. 992 0. 999 1. 006 
TOG Ueno oe 0. 974 0.975 0. 977 0. 979 0. 982 0. 985 0. 988 0. 993 0. 998 1.005 
TOGQEL See cr ae 0. 979 0. 981 0. 982 0. 984 0. 986 0. 989 0. 992 0. 995 0. 999 1. 004 
TOES aac 0. 989 0. 989 0. 989 0. 990 0. 992 0. 994. 0. 296 0. 998 1.000 1. 002 
LOGUE Re 0. 999 0. 999 0. 999 0. 999 0. 999 0. 999 1. 000 1.000 1.000 1. 000 
1OGhasee as 1. 009 1.009 1. 008 1. 007 1. 006 1.005 1. 004 1. 002 1. 000 0. 998 
LOGGSene 1.018 1.017 1.016 1.014 1.012 1.010 1. 007 1. 005 1.001 0. 996 
1967 xenon ees 1.025 1.024 1. 022 1. 020 1.017 1.015 1.011 1. 006 1.001 0. 996 
OGRE Ree o eee: 1. 029 1, 028 1. 026 1. 023 1.020 1.017 1.013 1. 008 1. 001 0. 995 
1060 eee aa 1. 030 1.029 1, 027 1.023 1.020 1.017 1.013 1. 008 1.001 0. 995 
1970 Seen 1. 027 1. 026 1. 024 1. 022 1.019 1.016 1.012 1. 007 1. 001 0. 996 
1971aeee ee ee 1. 022 1.021 1.019 1.017 1.015 1.018 1.009 1.005 1. 001 0. 996 
[07s er 1.013 1.013 1.012 1,011 1.009 1. 008 1. 006 1. 003 1.001 0. 998 
19730e02 ame ee 1.004 1.004 1. 004 1.003 1. 002 1. 002 1.001 1.001 1. 000 0. 999 
1974e Nantes 0. 994 0. 993 0. 993 0. 994 0. 996 0. 997 0. 998 0. 999 1.000 1.001 
Cyne Die ees 0. 983 0. 984 0. 985 0. 987 0. 989 0. 992 0. 994 0. 996 “0. 999 1. 003 
LOVGRaca eee 0. 976 0. 978 0. 979 0. 981 0. 983 0. 986 0. 989 0. 994 0. 999 1.004 
107 7eseanerones 0. 972 0. 973 0. 975 0. 977 0. 980 0. 984 0. 988 0. 993 0. 998 1.005 
10 ( See 0. 970 0. 971 0. 973 0. 975 0. 978 0. 983 0. 987 0. 992 0, 999 - 1006 
197Omast ees 0. 970 0. 972 0. 974 0. 976 0. 979 0. 983 0. 987 0. 992 0. 999 1.006 
(ORO meee 0. 976 0. 977 0. 978 0. 980 0. 983 0. 986 0. 989 0. 994 0. 999 1.004 
