Skip to content
Surf Wiki
Save to docs
science/mathematics

From Surf Wiki (app.surf) — the open knowledge base

Points of the compass

Directional divisions marked on a compass

Points of the compass

Summary

Directional divisions marked on a compass

32-point [[compass rose

The points of the compass are a set of horizontal, radially arrayed compass directions (or azimuths) used in navigation and cartography. A compass rose is primarily composed of four cardinal directions—north, east, south, and west—each separated by 90 degrees, and secondarily divided by four ordinal (intercardinal) directions—northeast, southeast, southwest, and northwest—each located halfway between two cardinal directions. Some disciplines such as meteorology and navigation further divide the compass with additional azimuths. Within European tradition, a fully defined compass has 32 "points" (and any finer subdivisions are described in fractions of points).

Compass points or compass directions are valuable in that they allow a user to refer to a specific azimuth in a colloquial fashion, without having to compute or remember degrees.

Compass points

Designations

The names of the compass point directions follow these rules:

8-wind compass rose

8-wind compass rose
  • The four cardinal directions are north (N), east (E), south (S), west (W), at 90° angles on the compass rose.
  • The four intercardinal (or ordinal) directions are formed by bisecting the above, giving: northeast (NE), southeast (SE), southwest (SW), and northwest (NW). In English and many other tongues, these are compound words. Different style guides for the four mandate spaces, dashes, or none.
    • In Bulgarian, Catalan, Czech, Danish, Dutch, English, Esperanto, French, Galician, German, Greek, Hungarian, Ido, Italian, Japanese (usually), Macedonian, Norwegian (both Bokmal and Nynorsk), Polish, Portuguese, Romanian, Romansch, Russian, Serbian, Croatian, Spanish, Swedish, Ukrainian, and Welsh the part meaning north or south precedes the part meaning east or west.
    • In Chinese, Vietnamese, Gaelic, and less commonly Japanese, the part meaning east or west precedes the other.
    • In Estonian, Finnish, Breton, the "Italianate system" (see section "Traditional Mediterranean compass points" below), and many South Asian and Southeast Asian languages such as Telugu, the intercardinals have distinct words.
  • The eight principal winds (or main winds) are the set union of the cardinals and intercardinals. Taken in turn, each is 45° from the next. These form the 8-wind compass rose, the rose at its usual basic level today.

16-wind compass rose

16-point [[compass rose
  • The eight half-winds are the direction points obtained by bisecting the angles between the principal winds. The half-winds are north-northeast (NNE), east-northeast (ENE), east-southeast (ESE), south-southeast (SSE), south-southwest (SSW), west-southwest (WSW), west-northwest (WNW), and north-northwest (NNW). The name of each half-wind is constructed by combining the names of the principal winds to either side, with the cardinal wind coming first and the intercardinal wind second.
  • The eight principal winds and the eight half-winds together form the 16-wind compass rose, with each compass point at a ° angle from its two neighbours.

{{anchor|Wind compass|wind compass|Wind compass points|wind compass rose}} 32-wind compass rose

32-point [[compass rose
  • The sixteen quarter-winds are the direction points obtained by bisecting the angles between the points on the 16-wind compass rose (above). The quarter-winds are as follows. :* in NE quadrant: north by east (NbE), northeast by north (NEbN), northeast by east (NEbE), and east by north (EbN); :* in SE quadrant: east by south (EbS), southeast by east (SEbE), southeast by south (SEbS), and south by east (SbE); :* in SW quadrant: south by west (SbW), southwest by south (SWbS), southwest by west (SWbW), and west by south (WbS); :* in NW quadrant: west by north (WbN), northwest by west (NWbW), northwest by north (NWbN), and north by west (NbW)
  • All of the points in the 16-wind compass rose plus the sixteen quarter-winds together form the 32-wind compass rose.
  • If breaking down for study/signalling the subcomponents are called the "principal" followed by the "cardinal" wind/direction. As a mnemonic (memory device), minds familiar encode the meaning of "X by Y" as "one small measure from X towards Y". It can be noted such measure ('one point') is °. So, for example, "northeast by east" means "one quarter of the gap from NE towards E".

In summary, the 32-wind compass rose comes from the eight principal winds, eight half-winds, and sixteen quarter-winds combined, with each compass point at an ° angle from the next.

Half- and quarter-points

Compass rose from ''American Practical Navigator'', 1916

By the middle of the 18th century, the 32-point system had been further extended by using half- and quarter-points to give a total of 128 directions. These fractional points are named by appending, for example, east, east, or east to the name of one of the 32 points. Each of the 96 fractional points can be named in two ways, depending on which of the two adjoining whole points is used, for example, NE is equivalent to NbEN. Either form is easily understood, but alternative conventions as to correct usage developed in different countries and organisations. "It is the custom in the United States Navy to box from north and south toward east and west, with the exception that divisions adjacent to a cardinal or inter-cardinal point are always referred to that point." The Royal Navy used the additional "rule that quarter points were never read from a point beginning and ending with the same letter".

Compass roses very rarely named the fractional points and only showed small, unlabelled markers as a guide for helmsmen.

Maritime Use

Prior to the modern three-figure method of describing directions (using the 360° of a circle), the 32-point compass was used for directions on most ships, especially among European crews. The smallest unit of measure recognized was 'one point', 1/32 of a circle, or °. In the mariner's exercise of "boxing the compass", all thirty-two points of the compass are named in clockwise order. This exercise became more significant as navigation improved and the half- and quarter-point system increased the number of directions to include in the 'boxing'. Points remained the standard unit until switching to the three-figure degree method. These points were also used for relative measurement, so that an obstacle might be noted as 'two points off the starboard bow', meaning two points clockwise of straight ahead, ° This relative measurement may still be used in shorthand on modern ships, especially for handoffs between outgoing and incoming helmsmen, as the loss of granularity is less significant than the brevity and simplicity of the summary.

128 compass directions

The table below shows how each of the 128 directions are named. The first two columns give the number of points and degrees clockwise from north. The third gives the equivalent bearing to the nearest degree from north or south towards east or west. The "CW" column gives the fractional-point bearings increasing in the clockwise direction and "CCW" counterclockwise. The final three columns show three common naming conventions: No "by" avoids the use of "by" with fractional points, U.S. Navy increases counterclockwise from a cardinal directly to the previous direction and clockwise elsewhere, and Royal Navy is the same but also uses counterclockwise from S to SbE to SSE and N to NbW to NNW. Colour coding shows whether each of the three naming systems matches the "CW" or "CCW" column.

PointsDegreesBearingCWCCWNo "by"(USN)(RN)
00° 0 0NN
2° 48 45N 3° ENENbENNE
5° 37 30N 6° ENENbENNE
8° 26 15N 8° ENENbENNE
111° 15 0N 11° ENbE
14° 3 45N 14° ENbEENNENNbEE
16° 52 30N 17° ENbEENNENNbEE
19° 41 15N 20° ENbEENNENNbEE
222° 30 0N 23° ENNE
25° 18 45N 25° ENNEENEbNNNNEE
28° 7 30N 28° ENNEENEbNNNNEE
30° 56 15N 31° ENNEENEbNNNNEE
333° 45 0N 34° ENEbN
36° 33 45N 37° ENEbNENEN
39° 22 30N 39° ENEbNENEN
42° 11 15N 42° ENEbNENEN
445° 0 0N 45° ENE
47° 48 45N 48° ENEENEbENNEE
50° 37 30N 51° ENEENEbENNEE
53° 26 15N 53° ENEENEbENNEE
556° 15 0N 56° ENEbE
59° 3 45N 59° ENEbEEENENNEbEE
61° 52 30N 62° ENEbEEENENNEbEE
64° 41 15N 65° ENEbEEENENNEbEE
667° 30 0N 68° EENE
70° 18 45N 70° EENEEEbNNENEEEbNN
73° 7 30N 73° EENEEEbNNENEEEbNN
75° 56 15N 76° EENEEEbNNENEEEbNN
778° 45 0N 79° EEbN
81° 33 45N 82° EEbNEEN
84° 22 30N 84° EEbNEEN
87° 11 15N 87° EEbNEEN
890° 0 0EE
92° 48 45S 87° EESEbSEES
95° 37 30S 84° EESEbSEES
98° 26 15S 82° EESEbSEES
9101° 15 0S 79° EEbS
104° 3 45S 76° EEbSSESEEEbSS
106° 52 30S 73° EEbSSESEEEbSS
109° 41 15S 70° EEbSSESEEEbSS
10112° 30 0S 68° EESE
115° 18 45S 65° EESESSEbEEESESSEbEE
118° 7 30S 62° EESESSEbEEESESSEbEE
120° 56 15S 59° EESESSEbEEESESSEbEE
11123° 45 0S 56° ESEbE
126° 33 45S 53° ESEbESSEE
129° 22 30S 51° ESEbESSEE
132° 11 15S 48° ESEbESSEE
12135° 0 0S 45° ESE
137° 48 45S 42° ESESSEbSESES
140° 37 30S 39° ESESSEbSESES
143° 26 15S 37° ESESSEbSESES
13146° 15 0S 34° ESEbS
149° 3 45S 31° ESEbSSSSEE
151° 52 30S 28° ESEbSSSSEE
154° 41 15S 25° ESEbSSSSEE
14157° 30 0S 23° ESSE
160° 18 45S 20° ESSESSbEESSESSbEE
163° 7 30S 17° ESSESSbEESSESSbEE
165° 56 15S 14° ESSESSbEESSESSbEE
15168° 45 0S 11° ESbE
171° 33 45S 8° ESbESSE
174° 22 30S 6° ESbESSE
177° 11 15S 3° ESbESSE
16180° 0 0SS
182° 48 45S 3° WSWSbWSSW
185° 37 30S 6° WSWSbWSSW
188° 26 15S 8° WSWSbWSSW
17191° 15 0S 11° WSbW
194° 3 45S 14° WSbWWSSWSSbWW
196° 52 30S 17° WSbWWSSWSSbWW
199° 41 15S 20° WSbWWSSWSSbWW
18202° 30 0S 23° WSSW
205° 18 45S 25° WSSWWSWbSSSSWW
208° 7 30S 28° WSSWWSWbSSSSWW
210° 56 15S 31° WSSWWSWbSSSSWW
19213° 45 0S 34° WSWbS
216° 33 45S 37° WSWbSWSWS
219° 22 30S 39° WSWbSWSWS
222° 11 15S 42° WSWbSWSWS
20225° 0 0S 45° WSW
227° 48 45S 48° WSWWSWbWSSWW
230° 37 30S 51° WSWWSWbWSSWW
233° 26 15S 53° WSWWSWbWSSWW
21236° 15 0S 56° WSWbW
239° 3 45S 59° WSWbWWWSWSSWbWW
241° 52 30S 62° WSWbWWWSWSSWbWW
244° 41 15S 65° WSWbWWWSWSSWbWW
22247° 30 0S 68° WWSW
250° 18 45S 70° WWSWWWbSSWSWWWbSS
253° 7 30S 73° WWSWWWbSSWSWWWbSS
255° 56 15S 76° WWSWWWbSSWSWWWbSS
23258° 45 0S 79° WWbS
261° 33 45S 82° WWbSWWS
264° 22 30S 84° WWbSWWS
267° 11 15S 87° WWbSWWS
24270° 0 0WW
272° 48 45N 87° WWNWbNWWN
275° 37 30N 84° WWNWbNWWN
278° 26 15N 82° WWNWbNWWN
25281° 15 0N 79° WWbN
284° 3 45N 76° WWbNNWNWWWbNN
286° 52 30N 73° WWbNNWNWWWbNN
289° 41 15N 70° WWbNNWNWWWbNN
26292° 30 0N 68° WWNW
295° 18 45N 65° WWNWNNWbWWWNWNNWbWW
298° 7 30N 62° WWNWNNWbWWWNWNNWbWW
300° 56 15N 59° WWNWNNWbWWWNWNNWbWW
27303° 45 0N 56° WNWbW
306° 33 45N 53° WNWbWNNWW
309° 22 30N 51° WNWbWNNWW
312° 11 15N 48° WNWbWNNWW
28315° 0 0N 45° WNW
317° 48 45N 42° WNWNNWbNWNWN
320° 37 30N 39° WNWNNWbNWNWN
323° 26 15N 37° WNWNNWbNWNWN
29326° 15 0N 34° WNWbN
329° 3 45N 31° WNWbNNNNWW
331° 52 30N 28° WNWbNNNNWW
334° 41 15N 25° WNWbNNNNWW
30337° 30 0N 23° WNNW
340° 18 45N 20° WNNWNNbWWNNWNNbWW
343° 7 30N 17° WNNWNNbWWNNWNNbWW
345° 56 15N 14° WNNWNNbWWNNWNNbWW
31348° 45 0N 11° WNbW
351° 33 45N 8° WNbWNNW
354° 22 30N 6° WNbWNNW
357° 11 15N 3° WNbWNNW
32360° 0 0NN

Traditional Mediterranean compass points

The traditional compass rose of eight winds (and its 16-wind and 32-wind derivatives) was invented by seafarers in the Mediterranean Sea during the Middle Ages (with no obvious connection to the twelve classical compass winds of the ancient Greeks and Romans). The traditional mariner's wind names were expressed in Italian, or more precisely, the Italianate Mediterranean lingua franca common among sailors in the 13th and 14th centuries, which was principally composed of Genoese (Ligurian), mixed with Venetian, Sicilian, Provençal, Catalan, Greek, and Arabic terms from around the Mediterranean basin.

32-wind compass with traditional names (and traditional colour code)

This Italianate patois was used to designate the names of the principal winds on the compass rose found in mariners' compasses and portolan charts of the 14th and 15th centuries. The traditional names of the eight principal winds are:

  • (N) – Tramontana
  • (NE) – Greco (or Bora in some Venetian sources)
  • (E) – Levante (sometimes Oriente)
  • (SE) – Scirocco (or Exaloc in Catalan)
  • (S) – Ostro (or Mezzogiorno in Venetian)
  • (SW) – Libeccio (or Garbino, Eissalot in Provençal)
  • (W) – Ponente (or Zephyrus in Greek)
  • (NW) – Maestro (or Mistral in Provençal)

Local spelling variations are far more numerous than listed, e.g. Tramutana. Traditional compass roses will typically have the initials T, G, L, S, O, L, P, and M on the main points. Portolan charts also colour-coded the compass winds: black for the eight principal winds, green for the eight half-winds, and red for the sixteen quarter-winds.

Each half-wind name is simply a combination of the two principal winds that it bisects, with the shortest name usually placed first, for example: NNE is "Greco-Tramontana"; ENE is "Greco-Levante"; SSE is "Ostro-Scirocco", etc. The quarter winds are expressed with an Italian phrase, "*Quarto di X verso *Y" ( one quarter from X towards Y), or "X al Y" (X to Y) or "X per Y" (X by Y). There are no irregularities to trip over; the closest principal wind always comes first, the more distant one second, for example: north-by-east is "Quarto di Tramontana verso Greco"; and northeast-by-north is "Quarto di Greco verso Tramontana".

The table below shows how the 32 compass points are named. Each point has an angular range of degrees where the azimuth midpoint is the horizontal angular direction (clockwise from north) of the given compass bearing; minimum is the lower (counterclockwise) angular limit of the compass point; and maximum is the upper (clockwise) angular limit of the compass point.

No.Compass pointAbbreviationTraditional wind pointAzimuthMinimumMidpointMaximum01234567891011121314151617181920212223242526272829303132
NorthNTramontana°°
North by eastNbEQuarto di Tramontana verso Greco°°°
North-northeastNNEGreco-Tramontana°°°
Northeast by northNEbNQuarto di Greco verso Tramontana°°°
NortheastNEGreco°45°°
Northeast by eastNEbEQuarto di Greco verso Levante°°°
East-northeastENEGreco-Levante°°°
East by northEbNQuarto di Levante verso Greco°°°
EastELevante°90°°
East by southEbSQuarto di Levante verso Scirocco°°°
East-southeastESELevante-Scirocco°°°
Southeast by eastSEbEQuarto di Scirocco verso Levante°°°
SoutheastSEScirocco°135°°
Southeast by southSEbSQuarto di Scirocco verso Ostro°°°
South-southeastSSEOstro-Scirocco°°°
South by eastSbEQuarto di Ostro verso Scirocco°°°
SouthSOstro°180°°
South by westSbWQuarto di Ostro verso Libeccio°°°
South-southwestSSWOstro-Libeccio°°°
Southwest by southSWbSQuarto di Libeccio verso Ostro°°°
SouthwestSWLibeccio°225°°
Southwest by westSWbWQuarto di Libeccio verso Ponente°°°
West-southwestWSWPonente-Libeccio°°°
West by southWbSQuarto di Ponente verso Libeccio°°°
WestWPonente°270°°
West by northWbNQuarto di Ponente verso Maestro°°°
West-northwestWNWMaestro-Ponente°°°
Northwest by westNWbWQuarto di Maestro verso Ponente°°°
NorthwestNWMaestro°315°°
Northwest by northNWbNQuarto di Maestro verso Tramontana°°°
North-northwestNNWMaestro-Tramontana°°°
North by westNbWQuarto di Tramontana verso Maestro°°°
NorthNTramontana°360°°

Chinese compass points

Navigation texts dating from the Yuan, Ming, and Qing dynasties in China use a 24-pointed compass with named directions. These are based on the twelve Earthly Branches, which also form the basis of the Chinese zodiac. When a single direction is specified, it may be prefaced by the character 單 (meaning single) or 丹.

Ming dynasty 24-pointed compass

Headings mid-way in-between are compounds as in English. For instance, 癸子 refers to the direction halfway between point 子 and point 癸, or °. This technique is referred to as a double-needle (雙針) compass.

PointOrdinal NameAngle
north0° or 360°
guǐ15°
chǒu30°
gěnnortheast45°
yín60°
jiǎ75°
mǎoeast90°
105°
chén120°
xùnsoutheast135°
150°
bǐng165°
south180°
dīng195°
wèi210°
kūnsouthwest225°
shēn240°
gēng255°
yǒuwest270°
xīn285°
300°
qiánnorthwest315°
hài330°
rén345°

References

References

  1. (1859). "Pamphlets on British shipping. 1785–1861".
  2. Boardman, David. (1983). "[[Graphicacy]] and Geography Teaching".
  3. See [[Wiktionary]] definitions: [[wikt:north. north]]; [[wikt:northeast. northeast]]; [[wikt:east. east]]; [[wikt:southeast. southeast]]; [[wikt:south. south]]; [[wikt:southwest. southwest]]; [[wikt:west. west]]; [[wikt:northwest. northwest]]
  4. Webb Aintablian, Xanthe. (28 June 2018). "An Overview and History of the Compass". [[Dotdash]].
  5. Lee, Robert E.. (2011). "Compass Rose". [[University of Washington]].
  6. E. Chambers. ''Cyclopaedia: or, an Universal Dictionary of Arts and Science'', 5th Ed, 1743, pp. 206–207, "Points ''of the Compass'', or ''Horizon'', &c., in Geography and Navigation, are the points of division when the whole circle, quite around, is divided into 32 equal parts. These points are therefore at the distance of the 32d part of the circuit, or 11° 15{{prime, from each other; hence 5° {{sfrac. 37. 1. 2{{prime is the distance of the half points and 2° {{sfrac. 48. 3. 4{{prime is the distance of the quarter points.
  7. (1916). "American Practical Navigator: An Epitome of Navigation and Nautical Astronomy". United States Hydrographic Office.
  8. {{cite encyclopedia. (1988). Oxford University Press. link
  9. Johnson, Tony. (2020-01-05). "Nautical Terminator – Points".
  10. George Payn Quackenbos A Natural Philosophy: Embracing the Most Recent Discoveries 1860 "Mentioning the mariner's compass: the points of the compass in their order is called boxing the compass. — The compass box is suspended within a larger box by means of two brass hoops, or gimbals as they are called, supported at opposite ..."
  11. "quarto".
  12. "di".
  13. "verso".
Wikipedia Source

This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.

Want to explore this topic further?

Ask Mako anything about Points of the compass — get instant answers, deeper analysis, and related topics.

Research with Mako

Free with your Surf account

Content sourced from Wikipedia, available under CC BY-SA 4.0.

This content may have been generated or modified by AI. CloudSurf Software LLC is not responsible for the accuracy, completeness, or reliability of AI-generated content. Always verify important information from primary sources.

Report