Lesson 27 of 40 · Module 4 — Tides and tidal streams

Secondary ports

Applying time and height differences from the almanac.

Coastal Skipper25 minVideo · Notes · Interactive · Exercises
0:00 / 3:45Chapter 1 of 8: Standard and secondary ports
Transcript
  1. Port Kerran is a standard port, so the almanac prints every high and low water for it, day by day. But you want to anchor in Kerran Roads, on the north side of the island. Kerran Roads is a secondary port: its tides are not printed in full. Instead the almanac gives differences from Port Kerran, and this lesson shows you how to apply them.

  2. Here is the entry for Kerran Roads, set out the way an almanac prints it. The top rows belong to Port Kerran: the times of high and low water the differences apply to, and its mean spring and neap levels. The bottom row is Kerran Roads. A Port Kerran high water at midnight or noon comes ten minutes later at Kerran Roads, and one at six o’clock comes twenty minutes later. High waters are also a little lower: by zero point three of a metre at springs, and zero point two at neaps.

  3. On Saturday the fifth of June, high water at Port Kerran is at zero three five six UT. That falls between the printed times of midnight and six o’clock, so the difference lies between plus ten and plus twenty minutes. Zero three five six is two hundred and thirty-six minutes into that three hundred and sixty-minute gap, about two thirds of the way along. So the difference is about two thirds of the way from ten to twenty: plus seventeen minutes.

  4. The printed times are in UT, so always look up the difference using the UT time. Add it to the standard port time: zero three five six plus seventeen minutes is zero four one three UT. Only then change to summer time, by adding one hour. High water at Kerran Roads is at zero five one three BST.

  5. Now the height: high water at Port Kerran is four point three metres, a little above mean high water neaps of four point zero. The height difference is minus zero point two at neaps and minus zero point three at springs. Four point three is a quarter of the way from neaps to springs, so the difference is a quarter of the way along too: minus zero point two two five. Round it to minus zero point two and add it on: high water at Kerran Roads is four point one metres.

  6. A secondary port form keeps all of this tidy. Copy Port Kerran’s high and low water, in UT, into the top row. Write the differences underneath and add them, and you have Kerran Roads in UT. Low water works the same way: plus five minutes, and minus zero point one of a metre. Finally add an hour for BST, and work out the range: four point one minus one point two is two point nine metres.

  7. To find the height between high and low water, use the Port Kerran curve with the Kerran Roads figures. Count the time from high water at Kerran Roads, zero five one three BST. At zero eight one three, three hours after, the curve gives a factor of about zero point five six. Multiply by the range of two point nine, and add the low water of one point two: about two point eight metres.

  8. Here is why it matters. You plan to anchor on the six point five metre sounding, just south of the anchor symbol. At zero eight one three BST the depth there is six point five plus two point eight: about nine point three metres. At low water, at one one one two BST, it will be six point five plus one point two, which is seven point seven metres: plenty for a draught of one point eight metres.

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:

PortTimes (UT)Heights (metres)
High WaterLow WaterMHWSMHWNMLWNMLWS
Port Kerran00000600010007005.24.01.60.4
and1200180013001900
Differences Kerran Roads
+0010+0020−0005+0015−0.3−0.2−0.10.0
Each difference applies to the Port Kerran time or level printed above it. Times repeat every 12 hours: a high water at 0000 or 1200 UT takes +0010; one at 0600 or 1800 UT takes +0020. Fictional data for the practice area.

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.

−10−50+5+10+15+20+25difference (min)0000060012001800Port Kerran HW time (UT)+17 min
  1. 0356 UT lies between the printed times 0000 (+0010) and 0600 (+0020).
  2. It is 236 min after 0000, out of 360 min: 236 ÷ 360 = 0.66 of the way.
  3. Across the gap the difference changes by +10 min: 0.66 × (+10) = +6.6 min.
  4. 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

  1. 1From the table: HW Port Kerran 0356 UT. Do not convert to BST yet.
  2. 2It lies between the printed times 0000 (+0010) and 0600 (+0020), 236 minutes after 0000 out of 360: 236 ÷ 360 = 0.66.
  3. 3Difference = +10 + 0.66 × (+10) = +16.6, call it +17 min.
  4. 40356 + 17 min = 0413 UT.
  5. 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 tideCompare withKerran Roads differences
High waterMHWN 4.0 m ↔ MHWS 5.2 m−0.2 ↔ −0.3 m
Low waterMLWS 0.4 m ↔ MLWN 1.6 m0.0 ↔ −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).

−0.4−0.3−0.2−0.10.0+0.1difference (m)3.64.14.65.15.6Port Kerran HW height (m)MHWNMHWS−0.225 m
  1. Compare 4.3 m with MHWN 4.0 m (−0.2) and MHWS 5.2 m (−0.3).
  2. It is 0.3 m above MHWN, out of the 1.2 m between them: 0.3 ÷ 1.2 = 0.25 of the way.
  3. Across the gap the difference changes by −0.1 m: 0.25 × (−0.1) = −0.025 m.
  4. 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

  1. 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.
  2. 2HW difference = −0.2 + 0.25 × (−0.1) = −0.225, about −0.2 m. HW Kerran Roads = 4.3 − 0.2 = 4.1 m.
  3. 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.
  4. 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:

Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Sat 5 Jun03564.3HW
10071.3LW
16194.2HW
22311.5LW
TimeHeight (m)Range (m)
HWLWHWLW
Port Kerranfrom the table, UT035610074.31.33.0
Differencesinterpolated+17 min+5 min−0.2−0.1
Kerran RoadsUT041310124.11.22.9
Kerran RoadsBST (UT + 1 h)05131112

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.

TimesHWLW
Port KerranUT, from the table02370846
Time differenceminutes, + or −
Kerran RoadsUT
Kerran RoadsBST
HeightsHWLW
Port Kerranmetres, from the table4.90.8
Height differencemetres, + or −
Kerran Roadsmetres
Rangeat Kerran Roads

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:

  1. Count the time from HW Kerran Roads, not HW Port Kerran.
  2. Draw the range line from the Kerran Roads HW height (top scale) to its LW height (bottom scale).
  3. Compare the Kerran Roads range with the mean ranges (springs 4.8 m, neaps 2.4 m) to choose between the curves.
0.00.10.20.30.40.50.60.70.80.91.0Factor00112233445566HW heights (m)LW heights (m)-6-5-4-3-2-1HW+1+2+3+4+5+6Hours from high water at Kerran RoadsSprings (4.8 m range)Neaps (2.4 m range)2.8 mfactor 0.56
The Port Kerran curve used for Kerran Roads: HW Kerran Roads 0513 BST, heights 4.1 and 1.2 m.

Worked example

Height of tide at Kerran Roads at 0813 BST, Sat 5 Jun

  1. 1HW Kerran Roads is 0513 BST, so 0813 is HW+3.
  2. 2Range 4.1 − 1.2 = 2.9 m: nearer neaps than springs.
  3. 3From HW+3 up to the curve: factor about 0.56.
  4. 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:

WhenHeight of tideDepth on the sounding
Now, 0813 BST2.8 m (curve)6.5 + 2.8 = 9.3 m
LW, 1112 BST1.2 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.

1
What is a secondary port?
2
On Sat 5 Jun HW Port Kerran is 0356 UT (0456 BST). Which time do you use to interpolate the Kerran Roads time difference?
3
Thu 3 Jun: Port Kerran HW 0237 UT, 4.9 m. What is the Kerran Roads HW time difference, to the nearest minute?
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Thu 3 Jun02374.9HW
08460.8LW
14554.7HW
21050.9LW
PortTimes (UT)Heights (metres)
High WaterLow WaterMHWSMHWNMLWNMLWS
Port Kerran00000600010007005.24.01.60.4
and1200180013001900
Differences Kerran Roads
+0010+0020−0005+0015−0.3−0.2−0.10.0
minutes
4
Fri 4 Jun: Port Kerran LW 0925 UT, 1.1 m. What is the Kerran Roads LW time difference, to the nearest minute?
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Fri 4 Jun03154.6HW
09251.1LW
15354.5HW
21451.2LW
PortTimes (UT)Heights (metres)
High WaterLow WaterMHWSMHWNMLWNMLWS
Port Kerran00000600010007005.24.01.60.4
and1200180013001900
Differences Kerran Roads
+0010+0020−0005+0015−0.3−0.2−0.10.0
minutes
5
Port Kerran HW is 4.9 m. To find the Kerran Roads height difference, between which two printed levels do you interpolate?
PortTimes (UT)Heights (metres)
High WaterLow WaterMHWSMHWNMLWNMLWS
Port Kerran00000600010007005.24.01.60.4
and1200180013001900
Differences Kerran Roads
+0010+0020−0005+0015−0.3−0.2−0.10.0
6
Fri 11 Jun: Port Kerran LW 1620 UT, 1.2 m. What is the height of LW at Kerran Roads?
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Fri 11 Jun03561.3LW
10084.3HW
16201.2LW
22314.5HW
PortTimes (UT)Heights (metres)
High WaterLow WaterMHWSMHWNMLWNMLWS
Port Kerran00000600010007005.24.01.60.4
and1200180013001900
Differences Kerran Roads
+0010+0020−0005+0015−0.3−0.2−0.10.0
m
7
Fri 11 Jun: Port Kerran HW 1008 UT, 4.3 m. At what time is HW at Kerran Roads, in BST? Give four figures, for example 1435.
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Fri 11 Jun03561.3LW
10084.3HW
16201.2LW
22314.5HW
PortTimes (UT)Heights (metres)
High WaterLow WaterMHWSMHWNMLWNMLWS
Port Kerran00000600010007005.24.01.60.4
and1200180013001900
Differences Kerran Roads
+0010+0020−0005+0015−0.3−0.2−0.10.0
BST
8
Sat 12 Jun: Port Kerran LW 1702 UT, 0.9 m. At what time is LW at Kerran Roads, in BST? Give four figures.
Port Kerran — times UT (add 1 hour for BST), heights in metres above chart datum
DayTimemHW/LW
Sat 12 Jun04411.1LW
10524.6HW
17020.9LW
23124.8HW
PortTimes (UT)Heights (metres)
High WaterLow WaterMHWSMHWNMLWNMLWS
Port Kerran00000600010007005.24.01.60.4
and1200180013001900
Differences Kerran Roads
+0010+0020−0005+0015−0.3−0.2−0.10.0
BST
9
On Fri 11 Jun you have worked out: HW Kerran Roads 1121 BST, 4.1 m; LW 1726 BST, 1.1 m. Using the Port Kerran curve, what is the height of tide at Kerran Roads at 1321 BST?
0.00.10.20.30.40.50.60.70.80.91.0Factor00112233445566HW heights (m)LW heights (m)-6-5-4-3-2-1HW+1+2+3+4+5+6Hours from high water at Kerran RoadsSprings (4.8 m range)Neaps (2.4 m range)
m
10
On Fri 11 Jun you anchor in Kerran Roads on the 6.5 m sounding (circled). LW Kerran Roads that afternoon is 1.1 m. What depth will you have there at LW?
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m

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.