Theory of tides
Long period
Columns: Higher harmonics | Darwin | Period | Speed | Doodson coefficients | NOAA
Species | Symbol | (hr) | rate(°/hr) | n 1 (L) | order | Shallow water overtides of principal lunar | M 4 | 6.210300601 | 57.9682084 | 4 | 5 | Shallow water overtides of principal lunar | M 6 | 4.140200401 | 86.9523127 | 6 | 7 | Shallow water terdiurnal | MK 3 | 8.177140247 | 44.0251729 | 3 | 8 | Shallow water overtides of principal solar | S 4 | 6 | 60 | 4 | 9 | Shallow water quarter diurnal | MN 4 | 6.269173724 | 57.4238337 | 4 | 10 | Shallow water overtides of principal solar | S 6 | 4 | 90 | 6 | 12 | Lunar terdiurnal | M 3 | 8.280400802 | 43.4761563 | 3 | 32 | Shallow water terdiurnal | 2"MK 3 | 8.38630265 | 42.9271398 | 3 | 34 | Shallow water eighth diurnal | M 8 | 3.105150301 | 115.9364166 | 8 | 36 | Shallow water quarter diurnal | MS 4 | 6.103339275 | 58.9841042 | 4 | 37 | Semi-diurnal | Darwin | Period | Speed | Doodson coefficients | NOAA | Species | Symbol | (hr) | (°/hr) | n 1 (L) | order | Principal lunar semidiurnal | M 2 | 12.4206012 | 28.9841042 | 2 | 1 | Principal solar semidiurnal | S 2 | 12 | 30 | 2 | 2 | Larger lunar elliptic semidiurnal | N 2 | 12.65834751 | 28.4397295 | 2 | 3 | Larger lunar evectional | ν 2 | 12.62600509 | 28.5125831 | 2 | 11 | Variational | MU 2 | 12.8717576 | 27.9682084 | 2 | 13 | Lunar elliptical semidiurnal second-order | 2"N 2 | 12.90537297 | 27.8953548 | 2 | 14 | Smaller lunar evectional | λ 2 | 12.22177348 | 29.4556253 | 2 | 16 | Larger solar elliptic | T 2 | 12.01644934 | 29.9589333 | 2 | 27 | Smaller solar elliptic | R 2 | 11.98359564 | 30.0410667 | 2 | 28 | Shallow water semidiurnal | 2SM 2 | 11.60695157 | 31.0158958 | 2 | 31 | Smaller lunar elliptic semidiurnal | L 2 | 12.19162085 | 29.5284789 | 2 | 33 | Lunisolar semidiurnal | K 2 | 11.96723606 | 30.0821373 | 2 | 35 | Diurnal | Darwin | Period | Speed | Doodson coefficients | NOAA | Lunar diurnal | K 1 | 23.93447213 | 15.0410686 | 1 | 4 | Lunar diurnal | O 1 | 25.81933871 | 13.9430356 | 1 | 6 | Lunar diurnal | OO 1 | 22.30608083 | 16.1391017 | 1 | 15 | Solar diurnal | S 1 | 24 | 15 | 1 | 17 | Smaller lunar elliptic diurnal | M 1 | 24.84120241 | 14.4920521 | 1 | 18 | Smaller lunar elliptic diurnal | J 1 | 23.09848146 | 15.5854433 | 1 | 19 | Larger lunar evectional diurnal | ρ | 26.72305326 | 13.4715145 | 1 | 25 | Larger lunar elliptic diurnal | Q 1 | 26.868350 | 13.3986609 | 1 | 26 | Larger elliptic diurnal | 2Q 1 | 28.00621204 | 12.8542862 | 1 | 29 | Solar diurnal | P 1 | 24.06588766 | 14.9589314 | 1 | 30 | Long period | Darwin | Period | Speed | Doodson coefficients | NOAA | Lunar monthly | M m | 661.3111655 | 0.5443747 | 0 | 20 | Solar semiannual | S sa | 4383.076325 | 0.0821373 | 0 | 21 | Solar annual | S a | 8766.15265 | 0.0410686 | 0 | 22 | Lunisolar synodic fortnightly | M sf | 354.3670666 | 1.0158958 | 0 | 23 | Lunisolar fortnightly | M f | 327.8599387 | 1.0980331 | 0 | 24