In this lesson you will learn
- Explain what a secondary port is and read its differences block
- Interpolate a time difference between the printed standard-port times, working in UT and then converting to BST
- Interpolate a height difference between neaps and springs and apply it
- Complete a secondary port form for a high and low water
- Use the standard-port curve with secondary-port figures to find the height of tide at a given time
Standard ports and secondary ports
In Lessons 24 and 25 you worked from the Port Kerran tide table, which gives the time and height of every high and low water, day by day. A port with its own full daily predictions is called a standard port. There are only so many of those: printing a full table for every harbour, bay and anchorage would fill a library.
Most other places are secondary ports. Their tides are found by comparing them with a nearby standard port whose tide behaves in a similar way. The almanac (or the Admiralty Tide Tables) prints a short block of differences for each one: how much later or earlier high and low water come, and how much higher or lower they are, than at the standard port. You take the standard port’s figures for the day and correct them.
On the practice chart, Kerran Roads is the anchorage on the north side of the island, about 5.6 M from Port Kerran on the other side of it. Its tides are referred to Port Kerran. Like everything on the Isle of Kerran, its data are fictional, made up for practice.
Secondary port = standard port + differences. Work out the standard port first, then correct it.
Reading the differences block
Here is the Kerran Roads entry, set out the way an almanac prints a secondary port:
| Port | Times (UT) | Heights (metres) | ||||||
|---|---|---|---|---|---|---|---|---|
| High Water | Low Water | MHWS | MHWN | MLWN | MLWS | |||
| Port Kerran | 0000 | 0600 | 0100 | 0700 | 5.2 | 4.0 | 1.6 | 0.4 |
| and | 1200 | 1800 | 1300 | 1900 | ||||
| Differences Kerran Roads | ||||||||
| +0010 | +0020 | −0005 | +0015 | −0.3 | −0.2 | −0.1 | 0.0 | |
Read it from the top:
- The Port Kerran row of times lists the standard-port times of high water (0000 and 0600) and low water (0100 and 0700) that the differences were worked out for. The second row (1200, 1800 and so on) is the same times twelve hours on: tides repeat roughly twice a day, so a high water at 1800 takes the same difference as one at 0600. These times are in UT, like the table.
- The Port Kerran heights are its mean levels: MHWS 5.2, MHWN 4.0, MLWN 1.6 and MLWS 0.4 m. They tell you what a typical spring or neap tide looks like there.
- The Kerran Roads row gives the differences to add. A time difference of +0010 means high water comes 10 minutes later than at Port Kerran; −0005 means low water comes 5 minutes earlier. A height difference of −0.3 means a spring high water is 0.3 m lower than at Port Kerran.
Why do the differences change? At a port with regular twice-daily tides, high water at springs comes at about the same time of day each fortnight (at Port Kerran, within a couple of hours of midnight and midday UT), and high water at neaps about six hours later. So the 0000 and 0600 columns roughly stand for springs and neaps, and the tide reaches Kerran Roads a little sooner or later depending on which it is. Heights work the same way: the difference at springs is not the same as at neaps.
Time differences: interpolate, in UT
A real tide rarely falls exactly on a printed time, so you interpolate: find the two printed times either side of the standard-port time and work out how far between them it lies. The difference is the same fraction of the way between the two printed differences.
difference = first + (elapsed ÷ gap) × change
Elapsed = minutes after the earlier printed time; gap = minutes between the two printed times (360 here).
You can do the same thing on a graph, as many navigators do: put the printed times along the bottom and the differences up the side, join the points with a straight line, and read off the difference above your time. The explorer below does exactly that.
InteractiveTime difference explorer
Slide the Port Kerran time (UT) and watch the Kerran Roads difference change between the printed times. Switch to low water to see the LW differences, which fall as well as rise.
- 0356 UT lies between the printed times 0000 (+0010) and 0600 (+0020).
- It is 236 min after 0000, out of 360 min: 236 ÷ 360 = 0.66 of the way.
- Across the gap the difference changes by +10 min: 0.66 × (+10) = +6.6 min.
- Difference = +10 + 6.6 = +16.6 → +17 min (to the nearest minute).
Kerran Roads HW = 0356 + 17 min = 0413 UT = 0513 BST
Worked example
HW Kerran Roads, Sat 5 Jun
- 1From the table: HW Port Kerran 0356 UT. Do not convert to BST yet.
- 2It lies between the printed times 0000 (+0010) and 0600 (+0020), 236 minutes after 0000 out of 360: 236 ÷ 360 = 0.66.
- 3Difference = +10 + 0.66 × (+10) = +16.6, call it +17 min.
- 40356 + 17 min = 0413 UT.
- 5Add one hour for BST: 0513 BST.
HW Kerran Roads 0513 BST
Low water works the same way with the LW columns. On Sat 5 Jun, LW Port Kerran is at 1007 UT, between 0700 (+0015) and 1300 (−0005). It is 187 of 360 minutes along (0.52), and the difference falls by 20 minutes across the gap: +15 − 0.52 × 20 = +4.6, so +5 min. LW Kerran Roads is 1012 UT, 1112 BST.
Height differences: between neaps and springs
The height difference depends on how big the tide is. Compare the standard port’s height for the day with its mean levels: a high water is compared with MHWN and MHWS, a low water with MLWS and MLWN. Then interpolate between the matching differences, just as you did for time.
| Standard-port tide | Compare with | Kerran Roads differences |
|---|---|---|
| High water | MHWN 4.0 m ↔ MHWS 5.2 m | −0.2 ↔ −0.3 m |
| Low water | MLWS 0.4 m ↔ MLWN 1.6 m | 0.0 ↔ −0.1 m |
InteractiveHeight difference explorer
Slide the Port Kerran height from neaps to springs. Beyond the printed levels the line is dashed: carry the same slope on a little (extrapolate).
- Compare 4.3 m with MHWN 4.0 m (−0.2) and MHWS 5.2 m (−0.3).
- It is 0.3 m above MHWN, out of the 1.2 m between them: 0.3 ÷ 1.2 = 0.25 of the way.
- Across the gap the difference changes by −0.1 m: 0.25 × (−0.1) = −0.025 m.
- Difference = −0.2 − 0.025 = −0.225 m (about −0.2 m).
Kerran Roads HW = 4.3 − 0.225 = 4.1 m
Worked example
Heights at Kerran Roads, Sat 5 Jun
- 1HW Port Kerran 4.3 m is 0.3 m above MHWN, out of 1.2 m between MHWN and MHWS: 0.25 of the way.
- 2HW difference = −0.2 + 0.25 × (−0.1) = −0.225, about −0.2 m. HW Kerran Roads = 4.3 − 0.2 = 4.1 m.
- 3LW Port Kerran 1.3 m is 0.75 of the way from MLWS to MLWN, so the LW difference is 0.0 + 0.75 × (−0.1) = −0.075, about −0.1 m.
- 4LW Kerran Roads = 1.3 − 0.1 = 1.2 m.
HW 4.1 m, LW 1.2 m: range 2.9 m
The secondary port form
With two times, two heights, two sets of differences and a time-zone change, it is easy to lose track. Training centres and the Admiralty use a printed secondary port form: a grid with columns for HW and LW times and heights and a row for each step. Here is the Sat 5 Jun example from the table to the finished answer:
| Day | Time | m | HW/LW |
|---|---|---|---|
| Sat 5 Jun | 0356 | 4.3 | HW |
| 1007 | 1.3 | LW | |
| 1619 | 4.2 | HW | |
| 2231 | 1.5 | LW |
| Time | Height (m) | Range (m) | |||
|---|---|---|---|---|---|
| HW | LW | HW | LW | ||
| Port Kerranfrom the table, UT | 0356 | 1007 | 4.3 | 1.3 | 3.0 |
| Differencesinterpolated | +17 min | +5 min | −0.2 | −0.1 | |
| Kerran RoadsUT | 0413 | 1012 | 4.1 | 1.2 | 2.9 |
| Kerran RoadsBST (UT + 1 h) | 0513 | 1112 | |||
Official forms also have rows for small extra corrections, such as seasonal changes in mean sea level; they are not needed for Kerran Roads. Now try one yourself.
InteractiveKerran Roads worksheet
Choose a day (the Port Kerran figures are filled in from the table), then fill in the boxes and press Check. Wrong boxes get a hint. Type minus signs for negative differences.
Heights in between: using the curve
The form gives you high and low water at Kerran Roads. For the height at any other time, use the Port Kerran tidal curve from Lesson 25, but with the Kerran Roads figures:
- Count the time from HW Kerran Roads, not HW Port Kerran.
- Draw the range line from the Kerran Roads HW height (top scale) to its LW height (bottom scale).
- Compare the Kerran Roads range with the mean ranges (springs 4.8 m, neaps 2.4 m) to choose between the curves.
Worked example
Height of tide at Kerran Roads at 0813 BST, Sat 5 Jun
- 1HW Kerran Roads is 0513 BST, so 0813 is HW+3.
- 2Range 4.1 − 1.2 = 2.9 m: nearer neaps than springs.
- 3From HW+3 up to the curve: factor about 0.56.
- 4Height = LW + factor × range = 1.2 + 0.56 × 2.9 = 2.8 m.
About 2.8 m above chart datum at 0813 BST
Putting it to work: anchoring in Kerran Roads
Suppose you arrive in Kerran Roads at 0813 BST on Sat 5 Jun and plan to anchor on the 6.5 m sounding just south of the anchor symbol. As Lesson 8 showed, the depth you actually have is the charted depth plus the height of tide:
| When | Height of tide | Depth on the sounding |
|---|---|---|
| Now, 0813 BST | 2.8 m (curve) | 6.5 + 2.8 = 9.3 m |
| LW, 1112 BST | 1.2 m (form) | 6.5 + 1.2 = 7.7 m |
With a draught of 1.8 m there is plenty of water under the keel at low water. The depth at high water matters too: it decides how much chain or warp you need to let out, so work out both before you drop the anchor. If you stay overnight, check the next low water as well, since it may be lower.
Key terms
- Standard port
- A port with full daily predictions of high and low water in the tide tables.
- Secondary port
- A place whose tides are found by applying differences to a nearby standard port.
- Time difference
- Minutes to add to (+) or take from (−) the standard-port HW or LW time; printed for particular standard-port times.
- Height difference
- Metres to add to or take from the standard-port height; printed at MHWS, MHWN, MLWN and MLWS.
- Interpolation
- Working out a value between two printed values in proportion, by arithmetic or on a graph.
- Extrapolation
- Carrying the same proportion on a little beyond the printed values.
- MHWS / MHWN
- Mean high water springs / neaps: the average heights of spring and neap high waters.
- MLWN / MLWS
- Mean low water neaps / springs: the average heights of neap and spring low waters.
- Secondary port form
- A printed grid for working secondary-port times and heights step by step.
- Range
- HW height minus the adjacent LW height; compared with the mean ranges to judge springs or neaps.
Exercises
Check your understanding. You get a second try at each question, then the worked answer. Score 70% or more to complete the lesson — your progress is saved in this browser.
| Day | Time | m | HW/LW |
|---|---|---|---|
| Thu 3 Jun | 0237 | 4.9 | HW |
| 0846 | 0.8 | LW | |
| 1455 | 4.7 | HW | |
| 2105 | 0.9 | LW |
| Port | Times (UT) | Heights (metres) | ||||||
|---|---|---|---|---|---|---|---|---|
| High Water | Low Water | MHWS | MHWN | MLWN | MLWS | |||
| Port Kerran | 0000 | 0600 | 0100 | 0700 | 5.2 | 4.0 | 1.6 | 0.4 |
| and | 1200 | 1800 | 1300 | 1900 | ||||
| Differences Kerran Roads | ||||||||
| +0010 | +0020 | −0005 | +0015 | −0.3 | −0.2 | −0.1 | 0.0 | |
| Day | Time | m | HW/LW |
|---|---|---|---|
| Fri 4 Jun | 0315 | 4.6 | HW |
| 0925 | 1.1 | LW | |
| 1535 | 4.5 | HW | |
| 2145 | 1.2 | LW |
| Port | Times (UT) | Heights (metres) | ||||||
|---|---|---|---|---|---|---|---|---|
| High Water | Low Water | MHWS | MHWN | MLWN | MLWS | |||
| Port Kerran | 0000 | 0600 | 0100 | 0700 | 5.2 | 4.0 | 1.6 | 0.4 |
| and | 1200 | 1800 | 1300 | 1900 | ||||
| Differences Kerran Roads | ||||||||
| +0010 | +0020 | −0005 | +0015 | −0.3 | −0.2 | −0.1 | 0.0 | |
| Port | Times (UT) | Heights (metres) | ||||||
|---|---|---|---|---|---|---|---|---|
| High Water | Low Water | MHWS | MHWN | MLWN | MLWS | |||
| Port Kerran | 0000 | 0600 | 0100 | 0700 | 5.2 | 4.0 | 1.6 | 0.4 |
| and | 1200 | 1800 | 1300 | 1900 | ||||
| Differences Kerran Roads | ||||||||
| +0010 | +0020 | −0005 | +0015 | −0.3 | −0.2 | −0.1 | 0.0 | |
| Day | Time | m | HW/LW |
|---|---|---|---|
| Fri 11 Jun | 0356 | 1.3 | LW |
| 1008 | 4.3 | HW | |
| 1620 | 1.2 | LW | |
| 2231 | 4.5 | HW |
| Port | Times (UT) | Heights (metres) | ||||||
|---|---|---|---|---|---|---|---|---|
| High Water | Low Water | MHWS | MHWN | MLWN | MLWS | |||
| Port Kerran | 0000 | 0600 | 0100 | 0700 | 5.2 | 4.0 | 1.6 | 0.4 |
| and | 1200 | 1800 | 1300 | 1900 | ||||
| Differences Kerran Roads | ||||||||
| +0010 | +0020 | −0005 | +0015 | −0.3 | −0.2 | −0.1 | 0.0 | |
| Day | Time | m | HW/LW |
|---|---|---|---|
| Fri 11 Jun | 0356 | 1.3 | LW |
| 1008 | 4.3 | HW | |
| 1620 | 1.2 | LW | |
| 2231 | 4.5 | HW |
| Port | Times (UT) | Heights (metres) | ||||||
|---|---|---|---|---|---|---|---|---|
| High Water | Low Water | MHWS | MHWN | MLWN | MLWS | |||
| Port Kerran | 0000 | 0600 | 0100 | 0700 | 5.2 | 4.0 | 1.6 | 0.4 |
| and | 1200 | 1800 | 1300 | 1900 | ||||
| Differences Kerran Roads | ||||||||
| +0010 | +0020 | −0005 | +0015 | −0.3 | −0.2 | −0.1 | 0.0 | |
| Day | Time | m | HW/LW |
|---|---|---|---|
| Sat 12 Jun | 0441 | 1.1 | LW |
| 1052 | 4.6 | HW | |
| 1702 | 0.9 | LW | |
| 2312 | 4.8 | HW |
| Port | Times (UT) | Heights (metres) | ||||||
|---|---|---|---|---|---|---|---|---|
| High Water | Low Water | MHWS | MHWN | MLWN | MLWS | |||
| Port Kerran | 0000 | 0600 | 0100 | 0700 | 5.2 | 4.0 | 1.6 | 0.4 |
| and | 1200 | 1800 | 1300 | 1900 | ||||
| Differences Kerran Roads | ||||||||
| +0010 | +0020 | −0005 | +0015 | −0.3 | −0.2 | −0.1 | 0.0 | |
0 of 10 answered · 0 correct
Kerran Roads from the tide table
Fresh Kerran Roads problems from the Port Kerran table (1–14 June). Use the differences block, and the curve where asked.