Back in the Thames

On 2 October, Halley wrote a short letter to Josiah Burchett, advising that he had arrived back in the Thames and requesting permission to come up to London to give the Lords of the Admiralty a report of his Channel voyage.

In the next post – which will probably appear in November* – we’ll conclude the third voyage by looking at Halley’s results. 

Paramore Pink in Long reach

Octob 2. 1701

Honoured Sr

Finding the season of the year too far lapsed to ride at anchor in the Channell; in persuance of their Lopps orders, I came into the River of Thames last night, and am at present moored in this place, where I waite their Lopps farther pleasure, hoping they please to allow me the Liberty to waite on them to render them an account of my Summers Expedition.

I am

Your Honours most obed:t Serv:t

Edm: Halley

C19 image of Thames reaches from the sea to Woolwich (Source: Wikimedia Commons)

* Postscript: In fact, the concluding post for this voyage will probably be delayed until after I’ve finished my dissertation in January as I’m very pressed for time at present.

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[1] Halley to Burchett, 2 Oct 1701, TNA, ADM 1/1872

Halley’s third logbook

I said at the start of this Channel voyage that I wouldn’t be live-tweeting the logbook as I’d done for Halley’s two Atlantic voyages, as I felt the high proportion of technical data would be of little interest to the general reader. That was a pity as the third logbook is the only one handwritten by Halley, and so from that point of view it’s an interesting document.

In fact I did tweet a few entries at the start of the voyage and I’m doing so again now at the end as these entries contain more general information – but to give you a flavour of the main substance of the log, here’s a typical entry in which Halley records soundings and the times and lunar positions of the tides:

[Sat, June 21] about 9h in the Morn I weighd and stood off to Sea, with a gentle gale of ENE wind, and about One after noon came to an anker in 18 fath. the Ness Light baring NNW; and Calis cliff ENE. here the westward tide was done at 5h.35′, or three hours and half before the Moons Southing. whence I concluded the course of the Tides here the same as at the Ness. viz that a II½ Moon ends the Eastern Tide. at 6h I weighd and stood to the eastward with a small gale of SSW wind, and about 9h fell with the West end of the Riprapps which is a narrow rigd of soft sand. I crost it severall times in 9, 8 and 7 fath and the Eastern tide being near done, I came to an anker in that depth the Ness light baring WNW and that of the South Foreland NbE p[er] Compass. here I rode two tides and found the Eastern tide done on a SW or NE Moon nearest. that it flowed about three fath. that it runs half tide here as by the Shore and that the Sett of the Stream is nearest NE and SW.

We’ll consider the purpose of this data when we look at the results of the voyage, but in this post I want to focus on what I like to call The Mystery of Halley’s Clerks.

Now that remark may excite expectations that this post will struggle to satisfy for this is not a tale of clerks going to sea and mysteriously disappearing, but rather a puzzle about what exactly the clerks did on the voyages – why, for example, was the third logbook written up by Halley and not by his clerk?

The clerk on the third voyage was one Richard Pinfold, who was the only person besides Halley to sail on all three voyages. On the two Atlantic voyages Pinfold was listed as captain’s servant, but on the third voyage he was said to have been captain’s clerk, and so I wondered whether he might have been a servant in Halley’s own household and been promoted to clerk as a ‘reward’ for going on the first two voyages, with Halley effectively covering the job himself. However, the manuscript pay and muster books show that Pinfold was actually entered as gunner’s mate and that the post of captain’s clerk was later interposed in the pay book beneath gunner’s mate. Pinfold was paid a salary as both gunner’s mate (£5 8s 6d) and captain’s clerk (£1 12s 11d), and the small wage paid to him as clerk suggests he performed that job for only a short time, and we know he wrote neither the logbook nor Halley’s letters.

The logs of the two Atlantic voyages weren’t written up by Halley, so they must’ve been written up by his clerks… well, possibly, but possibly not. There’s no immediate reason to doubt that the log of the first voyage was written by the clerk, Caleb Harmon, but the log of the second voyage is more of a puzzle. Halley wrote all his own letters to the Admiralty on both voyages, except for two on the second, and you might expect these to have been written by the clerk, William Curtiss, but they are in a different hand from that of the logbook. My first thought was that Curtiss perhaps fell ill with the “Barbadoes desease” at the same time as Halley, and so another crew member wrote them – but the two rogue letters (which are in the same hand) were written on 30 March and 8 July, either side of the period of sickness in late May, and the July letter states specifically that “we are a very healthy ship” at present. Why then did someone else write the letters, more than three months apart, and why did that person not receive extra pay as Pinfold did on the third voyage? Or why did Curtiss write the letters but not then the logbook?

The person who wrote the first logbook isn’t straightforward either. From the start of this project I’d been surprised at how neat and uniform the logs were and wondered whether they’d actually been written during the voyage or after the ship’s return to London, but then found that other logbooks were similarly neat and so thought that clerks might make draft notes and then write them up neatly while at anchor or in calm seas.

The idea of draft notes fits with a comment made by Alexander Dalrymple in an advertisement for his 1773 publication of Halley’s two Atlantic logs that

The Journal of Dr. Halley’s first Voyage is written on sundry scraps of paper, and some parts repeated in different places, and so blended that it was a very difficult matter to make it out intelligibly…

Dalrymple, who borrowed (and seemingly failed to return) these “scraps of paper” from the Board of Longitude, doesn’t mention whether the handwriting on the scraps was Halley’s or someone else’s, which is a pity as that might tell us something about how that logbook was compiled. A further curiosity is that Dalrymple seems to have been unaware of the existence of fair copies of the two logbooks (now in the British Library), and his published version of the second log was evidently compiled from another source, as there are discrepancies between the two. So what was the source for the second log used by Dalrymple, and who wrote it? And when were the fair copies of the two journals written?

These “sundry scraps of paper” also suggest a new spin on the warning given to Halley by Josiah Burchett at the end of the second voyage. Burchett wrote to Halley in Deptford, giving him permission to leave his ship to call on their lordships in London, “only lett mee give you this Caution, To have ye Books in readinesse”. Now I’d previously assumed this warning was intended to help Halley overcome the misgivings felt by some of their lordships about his handling of the prematurely-terminated first voyage* by making sure he was properly prepared when he met them, but now I wonder if it instead implies that Halley had previously displeased their lordships by returning from that voyage with only “scraps of paper” for his journal, and only had it written up on his return.

So while I think the mysteries surrounding Halley’s clerks might not rival And Then There Were None for excitement, they certainly seem to form a Problem at Sea.

* If you didn’t follow the first voyage, click on the tag for Edward Harrison to read about Halley’s problems with Lt Harrison and other officers.

Able seamen wanted!

When Halley’s first voyage ended prematurely with his return to England to court martial his lieutenant, he had to use all his diplomatic skills to persuade the Lords of the Admiralty to allow him a second attempt. That second voyage, however, was deemed so successful that their lordships lost no time in approving his next proposal for an expedition to survey the tides of the Channel.

This proposal was dated 23 April 1701 and it was evidently approved almost immediately, as on the 26th Halley wrote again to “humbly entreat my Commission to be dispatcht, in order to gett the Paramore Pink mann’d with such Compliment [sic] as their Lopps shall think fitting”, and his commission as master and commander of the Paramore was issued that day.[1] At the same time, the Admiralty sent an order to the Navy Board to clean and fit out the Paramore for “Channell Service”, and they agreed to all the requests for “Extraordinarys” that Halley had made in his letter, including his suggestion that the crew “cannot be well less than it was last time viz: 25 Men.”[2]

Halley wanted his commission quickly so he could begin recruiting his crew, as he was concerned that seamen were scarce as “no men [were] now offering themselves as usuall at other times.” Halley’s problem was that Royal Navy wages were then lower than those offered by merchant ships: Peter Earle tells us that wages in both the royal and merchant navies were broadly similar during peacetime (about 25 shillings a month for an able seaman), but that merchant wages rose dramatically during war when the competition for men became intense.[3]

In 1701, Europe was gearing up for what we know as the War of the Spanish Succession, and so merchant wages were presumably rising in anticipation of its outbreak. In a letter dated 4 June 1701, Halley complained that “I find my self disappointed in my Mate, who for great wages has been tempted to break his promise to me”, and expressed his concern that “for 40 sh[illings] p[er] month I fear I cannot have a man capable to take charge of my shipp, Marchants [sic] giving now so much to any able Seaman” – so merchant ships were already paying able seamen at a 15 shilling premium.

Halley had great difficulty obtaining his crew, and from the date his project was approved until he set sail nearly two months later, he wrote a series of increasingly desperate letters on the subject to Josiah Burchett, Secretary to the Admiralty.

On 31 May, he asked if “their Lopps shall thinking fitting to spare me but two able Seamen out of four or five of the Ships of Warr”, promising “I will take care to return them where I had them in case the breaking out of a war oblige me to desist from my undertaking.” And in an undated letter (endorsed June), Halley wrote that the Paramore was ready to sail if only he had his complement of men, and so “I beseech you to lay before their Lopps the great difficulty I find to gett them”. On 4 June he requested “leave to have out of the Shipps of Warr, under such restriction as their Lopps please, such men as shall be willing to serve on board me”, and this prompted their lordships to order that “3 Prest Men” on ships in the Downs should be discharged into the Paramore on her arrival, which they amended a few days later to “so many Men as he Shall have occasion of”. Halley sailed from Deptford on June 14 and received four men from ships in the Downs, when he anchored there a few days later.

It’s interesting that Halley writes of men “as shall be willing to serve on board me”, as I’m not sure whether this is simply a piece of naval phraseology or a precaution against the trouble he had on his first voyage with recalcitrant officers – although I am sure that if I were a “prest” seaman, I’d rather be on a scientific cruise in the English Channel with Halley, than part of a crew in the war fleet!

The Liberty of the Subject (1779), a satirical depiction of a press-gang. (Source: National Maritime Museum, ID PAG8527)

Finally, just to let you know that I’m not intending to tweet the log of his third voyage, as even I can see that a report of his continual anchoring around the Channel doesn’t provide a compelling read (to anyone but myself), although I will tweet the occasional entry.

I’m also in the latter stages of my MA and, alas, have little free time for this blog, but I will not neglect Captain Halley entirely and expect to publish a few short posts during his four month voyage (as well as writing my dissertation about him!).

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[1] All quotes from Halley’s letters (written to Josiah Burchett) are from TNA, ADM 1/1872, and his commission is in TNA, ADM 6/6, f91v.

[2] Admiralty order to clean and fit out the Paramore is in TNA, ADM 2/181, p117.

[3] Peter Earle, Sailors: English Merchant Seamen 1650-1775 (London: Methuen, 2007), pp186-8.

Return to sea

Welcome back to Halley’s Log!

We left Captain Halley last September, newly returned to London and working on his Atlantic chart of magnetic variation, which he formally presented to the Royal Society on 4 June 1701.

But while Edmond had quickly resumed his old habits of attending Royal Society meetings and discoursing endlessly in coffeehouses, the sea was never far from his mind, and on 23 April 1701 he sent this proposal to the Lords of the Admiralty (remember “Lopps” is Halley’s abbreviation for “Lordshipps”):

It is humbly proposed

That if their Lopps shall think fitting to have an exact account of the Course of the Tides on and about the Coast of England, so taken as at one View to represent the whole; (which will be a work of generall Use to all Shipping, especially such as have occasion to turn to Windward, and wch is wanting towards the compleating the Art of Navigation) there be provided a small Vessell such as their Lopps shall think proper, with all convenient speed, on board of which such an account of the Tides may be taken, as their Lopps shall direct; for which service their Lopps most obedient servant humbly offers himself.

Edm. Halley [1]

Their Lopps did think it fitting to have the course of the tides around the southern coast of England observed and gave the order for a vessel – yes, the Paramore Pink – to be prepared for Halley’s third expedition.

So Captain Halley expects to put back to sea very very soon – there’s just the one small matter of a crew to recruit…

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[1] Halley to the Lords Commissioners of the Admiralty, 23 April 1701, TNA, ADM 1/1872

Halley’s Atlantic Chart, part 2: his results

Halley undertook his Atlantic voyages to measure the magnetic variation at sea. Magnetic variation (or declination) is the angle between magnetic and geographic north in a horizontal plane. Halley thought that if a pattern could be observed in the variation, it might offer a way to determine a ship’s longitude at sea. He measured the variation regularly throughout his two voyages and began preparing the presentation of his data as soon as he arrived back in Deptford in September 1700.

Halley is noted for his ability to draw general conclusions from complex data and for his appreciation of visual representation of those conclusions, and he demonstrated both these traits in presenting his data in the form of a sea chart.

The chart – known as his Atlantic Chart – holds an important place in the history of cartography, as it is regarded as the first published chart to represent magnetic declination using what became known as isogonic lines. It was not the first time such lines had been thought of, but the earlier examples were never published and Halley is thought unlikely to have known about them. [1]

We’ll look at the chart and its data in a moment, but first I’d like to highlight some of its decorative features.

To the east of the mysterious birds, we find The Icey Sea with the black-streaked “Mountains of Ice” that Halley and his crew had encountered in February (notice their track passing through it). Neither Halley nor his crew had seen icebergs before and Halley was unsure whether they were floating or grounded.

The track of Halley’s second voyage is shown on the chart and indicated by representations of the Paramore pursuing her figure-of-eight course.

There are three cartouches on the chart: the one on South America is formed by a native family reclining beneath two fruit-laden palm trees. The adults wear feathered headdresses and skirts, the woman clutches a small child and the man holds a spear, has a bow at his feet and a quiver of arrows on his back. Behind them, hanging between the trees, is a sheet bearing the chart’s title:

A New and Correct CHART Shewing the Variations of the COMPASs in the WESTERN & SOUTHERN OCEANS as Observed in ye Year 1700 by his Ma:ties Command by Edm. Halley.

A second cartouche appears on the landmass of Africa and carries the chart’s dedication to William III and is topped by personifications of astronomy (holding a telescope and armillary sphere), navigation (a backstaff and ship) and mathematics (dividers and triangle).

The third cartouche is found on North America and explains the information depicted in the chart:

The Curve Lines which are drawn over the Seas in this Chart, do shew at one View all the places where the Variation of the Compass is the same; The Numbers to them, shew how many degrees the Needle declines either Eastwards or Westwards from the true North; and the Double Line passing near Bermudas and the Cape de Virde Isles is that where the Needle stands true, without Variation.

And here’s the full chart, shown with the permission of the Royal Geographical Society:

Halley’s Atlantic Chart (© Royal Geographical Society (with IBG) (£), Image S0015919)

You can see that it has two compass roses, the one in the mid-Atlantic radiating lines that somewhat obscure Halley’s “Curve Lines” of equal magnetic declination. (Halley himself realised this was a problem and omitted this feature on the World Chart he published around a year later.) It is on a Mercator projection, with lines of latitude and longitude, and the meridian of London, the equator and tropics identified, but no indication of scale.

This version of the chart includes text that was written subsequently by Halley and printed in two strips that could be stuck to the sides of the original chart. It describes how to consult the chart by way of examples, and explains that it has two uses:

• to enable the mariner to know by how much he needs to adjust his course to take account of the magnetic variation, and
• to estimate a ship’s longitude at sea, the curve lines running nearly north-south (as off the west cost of Africa) giving “a very good Indication of the Distance of the Land” from the ship

This useful knowledge is obtained by reference to the isogonic lines. They are a little difficult to pick out but you can easily see the double curved line to the right of the central compass, which Halley has named The Line of No Variation (the agonic line) and the curved lines above and right show the degree to which the compass varies west of geographic north, and to the left, east of geographic north (the number of degrees of variation is shown on the horizontal line above The Icey Sea).

As mentioned above, the chart was (and is) regarded as the first (extant) published use of isolines (contour lines), and until the nineteenth century these lines were known as Halleyan lines.

So the chart is impressive and historically important, but how accurate was it? Alan Cook observed that it was “an improvement on anything that had gone before”, [2] but as I wrote in a previous post, the problem with longitude is knowing both where you are and where the place is that you’re heading. Halley’s recorded longitude was often inaccurate and sometimes considerably so: when he was sailing towards St Helena from the east, the longitude value he reported is actually west of the island – and so the degree of variation he thought applied to the east of the island in fact applied to the west.

Similarly the coordinates of islands and land weren’t then accurately known: Cape Horn, for example, is roughly 10° further west on Halley’s chart than we now know it to be, so his lines of variation near that coast must be likewise misplaced. [3] It seems to me that the moral of this exercise is that to devise a chart that helps estimate a ship’s longitude at sea, the deviser needs to have a fairly accurate knowledge of longitude in the first place.

But Halley was alert to the likelihood of error in his chart and in his final paragraph he wrote that:

…all knowing Mariners are desired to lend their Assistance and Informations, towards the perfecting of this useful Work. And if by undoubted Observations it be found in any Part defective, the Notes of it will be received with all grateful Acknowledgment, and the Chart corrected accordingly.

And I think that’s how Halley’s chart was most useful: it was a cartographic innovation from which better and more accurate maps might evolve.

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[1] For details of prior manuscript isoline charts see Thrower, The Three Voyages of Edmond Halley in the Paramore 1698-1701 (Hakluyt Society: London, 1981) pp 57-58, and Thrower, Maps & Civilization (3rd ed, Chicago and London, 2008) pp 97-101.

[2] Cook, Edmond Halley: Charting the Heavens and the Seas (Oxford, 1998) p 281.

[3] In 1714 Halley defended his World Chart (an extended version of his Atlantic Chart, incorporating data supplied by others) in the Philosophical Transactions from charges of inaccuracy by the French Royal Academy of Sciences, including that he had placed Cape Horn too far west.

All images © Royal Geographic Society (with IBG) (£), Ref S0015919.

Halley writes from Long Reach

On Saturday afternoon, 7 September 1700, the Paramore anchored in the Thames at Long Reach and Halley sent his gunner (William Brewer, the one-armed boatswain) up to the Tower* to give notice of their arrival, while Halley himself despatched his last letter of the voyage to Josiah Burchett, Secretary to the Admiralty:

(Halley to Burchett, dated 7 Sept 1700 from “Long reach”, National Archives ADM 1/1871)

Honoured Sr

The winds having been extreamly contrary, it has cost me five days to gett from the Downs hither, and in the passage I have had the dissatisfaction to see the paramour fall to Leeward of all the Marchant men that turned it with us. I now humbly hope from yr Honours favour, to find at Deptford (where I shall be in a day or two) their Lopps leave to come up to waite on them.

…Edm. Halley

So Halley complains about the Paramore and her leeward tendencies to the last! Burchett’s reply is interesting because he picks up on that complaint and remarks that it may have hindered Halley’s performance, though Halley himself has made no suggestion that he hasn’t achieved all that he’d hoped to.

Burchett writes that Halley may leave his ship to come to town to speak to the Lords of the Admiralty, but warns him to have his paperwork in order and to attend the paying off of his ship. I take this to be in part a reminder of Halley’s duties as a Royal Navy master and commander, but perhaps also an intimation of some lingering dissatisfaction among their Lordships after the early termination of his first voyage, owing to the friction between Halley and Lt Edward Harrison.

(Burchett to Halley, dated 9 Sept 1700 from the Admiralty, National Archives ADM 2/399 p25)

Sr

I have recd: your Lre [Letter], and am sorry to finde the Paramore Pinke has such a tendincy to Leeward, because I am apt to believe that quality in her, has put it out of your power to doe altogether soe much as otherwise you might have p[er]form’d.

There are Orders given for paying her off; and thô my Lords doe not meet ’till tomorrow morning, yet I dare assure you that you will not offend in comeing to Towne; only lett mee give you this Caution, To have ye Books in readinesse; and to attend at the payment of the Vessell.

…JB

Over the next three posts – the last for this voyage – we’ll look at Halley’s results and see whether their Lordships were ultimately satisfied with Halley’s performance.

Ships in the Thames Estuary near Sheerness, Isaac Sailmaker, 1707-08 (Yale Center for British Art/Wikimedia Commons)

* That is, to the Office of Ordnance at the Tower, which will take out the guns and gunners’ stores from the Paramore.

Halley and longitude

If you’ve been following this blog about Halley’s voyages, you’re probably aware that 2014 is the 300th anniversary of the Longitude Act, which offered financial rewards for practicable methods of finding longitude at sea to specified degrees of accuracy.

Halley was involved with the quest for longitude throughout his long life: in 1675, aged 18, he was present when Flamsteed and Hooke visited the proposed site of the new observatory in Greenwich, being built by order of Charles II to help find longitude at sea; he was made a commissioner under the 1714 Longitude Act, courtesy of his position as Savilian Professor of Geometry (later also as Astronomer Royal), and around 1730 it was Halley who sent clockmaker John Harrison to see George Graham to discuss his ideas for a marine chronometer.

By the second half of the 18th century, there were two serious contending methods for finding longitude at sea, lunar distances and timekeepers, but in the late 17th and early 18th centuries, a diverse range of schemes was proposed, including finding longitude via magnetic variation.

Magnetic variation (or declination) is the angle between magnetic and true north in a horizontal plane and was well known to the scientifically-minded, as too was the fact that it varied in different locations and also over time. It was thought that if an underlying pattern to the variation could be identified, it might offer a way of finding one’s longitude.

Halley undertook his first two voyages to measure the declination around the Atlantic in order to improve the accuracy of compass measurements, and to ascertain more accurate co-ordinates for the places he visited – but his published magnetic data also offered a means of estimating longitude at sea.

We’ll see Halley’s results in due course but for now we’ll consider one of the key difficulties with the theory, which is best illustrated by comparing data from four ships’ logs. [1]

At the start of Halley’s first voyage, he sailed from the Isle of Wight to Madeira in company with Admiral Benbow’s squadron and four of the five ships’ logs have survived, so we can compare their recorded latitude and longitude over several days:

COMPARISON OF LATITUDES AT NOON
1698	Falmouth	Gloucester	Lynn	Paramore
Dec 2	47°28′	47°39′	47°24′	47°23′
Dec 3…	46.28	46.30	46.13	46.20
Dec 14	32.39	32.36	32.43	32.25
Dec 15	32.22	32.26	32.19	32.15

Here, I’m showing the first and last two days that all four ships recorded data (leaving the English Channel and approaching Madeira) and you can see immediately that the latitudes are very similar – but the reported longitudes present a very different picture (first/last 5 days):

COMPARISON OF LONGITUDES AT NOON
1698	Falmouth	Gloucester	Lynn	Paramore
Dec 2	149.3	8°01′	2°10′ W	8°00′
Dec 3	60.1	6.59	3.30	9.10
Dec 4	–	5.53	5.12	10.03
Dec 5	29.9	5.34	6.00	10.09
Dec 6…	51′-5/10	4.27	7.07	11.07
Dec 11	8.41 W	3.00	9.35	12.15
Dec 12	8.55 W	3.00	9.39	12.15
Dec 13	10.50	1.08	11.15	14.09
Dec 14	12.03	0.14	11.42	15.03
Dec 15	13.20	–	13.11	16.07

This table looks like a confused jumble, demonstrating that this is a problematic coordinate. Looking first at the Paramore, Halley always noted that his longitude position was measured west from London, and on December 15 he described himself as being to the south-east of Madeira, which is 16°55′ west of London, and so 16°07′ seems a respectable figure for his position.

The Gloucester does not specify where its longitude is measured from but apparently starts from the same longitude as the Paramore but then declines in value to zero as it approaches Madeira, and so that ship’s longitude is being measured east from Madeira (or possibly El Hierro in the Canaries, a common zero meridian of the time, in which case the final value is over a degree out).

The Lynn‘s figures increase like the Paramore‘s, but the values are quite different and I think these values are measured from Lizard Point as they depart from the English Channel (it isn’t specified). The later values for the Falmouth are similar to the Lynn‘s but the earlier ones are unlike any others and I’m assuming these positions are only partially calculated and represent the minutes travelled since the previous noon.

So these logs demonstrate one of the problems with longitude: even if you could accurately measure your longitude, where did you measure it from? (The prime meridian at Greenwich wasn’t agreed upon until the 1880s.) And how did this varying data affect the accuracy of the period’s maps and charts?

In other words, Halley didn’t really know where he was (his recorded longitude is often erroneous, sometimes considerably so) or even, strictly, where he was heading as many places were wrongly laid down in maps – and so how useful could a theory be that was founded on wrongly-placed locations?

In spite of this, Halley apparently found all the islands he states he will sail for, even though some are little more than large rocks in a vast ocean. Halley followed the customary practice of parallel sailing (sailing along a coast until you attained the latitude of the place you were aiming for and then sailing east/west until you reached it) but on his “Southern cruise” he was seeking tiny islands (Tristan da Cunha, Martim Vaz) from the middle of the Atlantic ocean – I think he must have had at least one very sharp-sighted crew member on board!

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[1] References for the logs are: Falmouth NA, ADM 51/341; Gloucester NA, ADM 51/401; Lynn NA, ADM 51/3892; Paramore BL, Add MSS 30398. The figures are (mostly) degrees/minutes but the notation differs in each log (I’ve used the Paramore‘s).