Neither division appears in the positions that rank for this subject. The two words for crown and brim occur 190 times across the ten pages read on 6 October 2026, and a millimetre figure occurs zero times in all ten — the one clause that puts a brim and a number together belongs to a single item's description.

This site measures a face with five ratios, and one of them is length divided by cheekbone width: the published band runs 1.05 to 1.65 with a standard deviation of 0.18, on the scale of a soft tape. A hat works on the top of that numerator. It stands above your head, so the outline a photograph reads gets longer while the face underneath it does not move. The size of the change is one division, and only part of the hat enters it. Read the crown's height on the hat — the seam where the brim starts up to the top, the hat sitting on a table, a ruler held vertically — and subtract the depth your head occupies inside that crown, taken from the same seam level up to the top of your bare head. The remainder, call it `a`, is how far the outside top of the crown stands above you. It is the operand rather than the full height because the distance from your hairline to the top of your head is identical with the hat on and off, so it cancels out of the change and nothing but the excess is added.

What hat suits my face shape is asked as a question about styles, and the published answer is a name: an outline in one column, a hat in the other. The division above is not in that list, and it cannot be, because one of its operands is on a head wearing the hat and the other is on a face measured without it. Both are readings you can take yourself, and once you have them the two quantities people argue about — how tall a crown, how wide a brim — become arithmetic instead of taste.

What a Crown Adds to the Length Ratio

The length ratio is a division, so anything added to the length has to be divided by the same width to be understood. Take your lift `a` and your cheekbone width `C`, and the change to the ratio is `a ÷ C`. That is the whole of the first table. Rows are the lift in millimetres with the inches beside them; columns are the adult cheekbone band this site publishes — 128.2 mm and 148.8 mm at its ends, with the 136 mm working line in the middle — because the same 25 mm of crown is a different change on a narrow face and a wide one.

Hat styles by face shape is what the published lists actually sort, and the arithmetic above is in none of them. Of the ten positions read on 6 October 2026, the two words for crown and brim appear 190 times between them and a millimetre figure appears zero times in all ten. One of those pages does print a face as a ratio, a length-to-width figure used to decide which outline you are, and it stops at the naming: the crown and brim sentences that follow carry no number at all.

Read the table in whichever direction your question runs. If you know the effect you want, find the change in ratio and read the lift across that row. If you have a hat in front of you, measure its lift, find your row, and read what it does at your own width. Anyone whose cheekbone measure falls outside the published band should use their own number: every cell is one division, and it can be redone on the back of an envelope in the time it takes to try a hat on.

Crown lift above your own head divided by cheekbone width: each cell is the change that lift makes to the length ratio

Lift a above the headIn inches÷ 128.2 mm÷ 136 mm÷ 148.8 mm
5 mm0.200.0390.0370.034
10 mm0.390.0780.0740.067
15 mm0.590.1170.1100.101
20 mm0.790.1560.1470.134
25 mm0.980.1950.1840.168
30 mm1.180.2340.2210.202
35 mm1.380.2730.2570.235
40 mm1.570.3120.2940.269
45 mm1.770.3510.3310.302

Every cell is the row's millimetres divided by the column's cheekbone width, to three decimals, and the inch column is the millimetre row divided by 25.4 and rounded separately — so an inch can sit one hundredth away from dividing the millimetres printed beside it. The three widths are the adult cheekbone band this site publishes: 128.2 and 148.8 mm are one standard deviation either side of the measured means, and 136 mm is the working line its eyewear pages use; the dataset behind that band is named where the band is published and is not reprinted here. The published length band is 1.05 to 1.65 with a standard deviation of 0.18, which is what makes one full deviation of that ratio equal to 23.4 mm of lift at the narrow width, 24.8 mm at the working line and 27.1 mm at the wide one — 0.92, 0.98 and 1.07 in. Read the other way: 0.18 of ratio is worth 23.1, 24.5 and 26.8 mm of crown. The whole published span of 0.60 is 3.29 deviations, which is 76.9 to 89.3 mm of lift depending on width. Two things are this page's own and are labelled as such. The first is the landmark — a crown's height measured as the excess above the top of your own head rather than as the height of the object — because no page, this site included, has ever published a measurement of a hat standing on a person. The second is the ladder: 5 to 45 mm in 5 mm steps is the edge of a worksheet, not a finding, and there is no published band for a lift to sit inside. Sensitivity, so you know what a bad reading costs: 5 mm of error in the lift moves a row by 0.037 of ratio at the working line and reorders nothing; the same lift read at 128.2 mm gives a cell 16.1% larger than at 148.8 mm; and 3 mm of error in the width itself costs 0.004 of ratio, which is under a quarter of a row step.

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How Tall Is Your Decision, Not the Ratio's

A search for hat crown height face shape asks the ratio for something it cannot hand over. The division returns the size of a change, not a target: nothing in 1.05 to 1.65 says whether you should wear 20 mm of lift or 40 mm, and no page in print or on the web — this one included — publishes a crown height that stands for a population of faces.

What the arithmetic does settle is how much room you are spending. This site publishes the oval outline at a centre of 1.45 with the same spread of 0.18, so the oval band runs 1.27 to 1.63 and the slack above the centre is exactly one deviation. At the working line that slack is 24.5 mm of crown lift, which is a little under an inch: a hat standing that far above your head spends the entire upper half of the published oval band in one fitting. The same lift is worth 23.1 mm of crown at the narrow end of the width band and 26.8 mm at the wide end, so how tall is too tall is a width reading before it is a style reading.

That is a statement about a silhouette and nothing else. A hat does not change what your face measures — the ratios in this site's calculator are taken on a bare head, and a crown sitting 25 mm above it enters no classification anywhere on this site. What it changes is where the top of your head reads as being in a photograph, and the use of the table is that it lets you choose that change instead of meeting it in a mirror you did not expect.

The Three Numbers That Follow the Head, Not the Face

Three quantities in every hat are set by the skull and the sweep, and none of them contains anything measured on a face. The reading underneath all three is taken around the head, over the hair. Work out the size a crown has to fit ↓

Every hat carries a second column of quantities, and the ratios do no work in it. The ring that has to close around your skull, the depth your head takes up inside the crown, and the sweep a brim is cut to all follow the head. Two printed millinery course manuals from 1915 are the clearest statement of that column written out. One measures a support wire 12 in (304.8 mm) from one side of a crown over the top to the other, with 2 in (50.8 mm) turned down at each end so the piece comes to 16 in (406.4 mm). The head itself is drawn by wire as an oval 8½ in front to back and 7 in side to side, which is 215.9 mm by 177.8 mm, and that oval appears in both parts. The other strikes a flat circular brim piece 18 in (457.2 mm) across by measuring 9 in (228.6 mm) twice, and cuts a bias strip 6 in (152.4 mm) wide for a rolled edge.

Sort that ladder against the two divisions above and three kinds fall out, which is the step none of the current ten takes. The band that closes around the skull, the depth the head occupies inside a crown and the circle a brim has to clear are the head's figures. A chooser's figures sit next to them: the same manuals allow a box crown anywhere from 1 to 5 in — 25.4 to 127.0 mm — and take 3 in, 76.2 mm, for the worked example because an example needs one number rather than a range. Only the two divisions in this page's tables belong to the face, and they are the only ones that decide whether a given hat reads as tall or as wide on a given head.

The head column also sets a floor the ratio cannot go under. In the manuals' worked example the head's own oval is 177.8 mm across at the level a brim is attached. The brim widths the forehead arithmetic produces at the working line run from 128.8 mm to 162.8 mm, so the ratio's answer is 49.0 mm smaller than that head at the narrow end of the published band and 15.0 mm smaller at the wide end. The head wins. What the ratio adds is the knowledge of where the edge will actually fall against your temples once the head has had its way — which is the next table.

Figures a 1915 millinery manual writes as instructions, converted once: not one of them contains a quantity taken on a face

What the manual fixesAs writtenIn millimetresWhat decides it
Support wire over a crown, side to side across the top12 in304.8 mmThe head inside the crown and the crown's shape
The same wire with both ends turned down for tying2 + 12 + 2 = 16 in406.4 mmThe same, plus a lap at each end
The head drawn as a wire oval, front to back8½ in215.9 mmThe head, at the level a band sits
The same oval, side to side7 in177.8 mmThe head, at the level a band sits
Box crown height, the allowed range1 to 5 in25.4 to 127.0 mmChosen — neither the head nor the face
Box crown height in the worked example3 in76.2 mmChosen, because an example needs a figure
Flat circular piece struck for a brim, across18 in457.2 mmThe sweep given, measured off a 9 in fold twice
Bias strip cut for a rolled edge6 in152.4 mmThe edge being covered
Band cut before its lap is closed27 in, overlapped 3 in685.8 mm less 76.2 mmA head's measure plus a joining lap
Flat top diameter the milliner is allowed10 to 24 in254.0 to 609.6 mmJudgement, in the manual's own words

Millimetres are the printed inches multiplied by 25.4 and rounded to one decimal, and a range cell is its two ends done separately. Three of these rows are why the column matters. The support wire and the head oval are fixed by the skull, and no ratio appears in either. The box crown's 1 to 5 in is left to judgement by the manual itself — and that whole ladder, 101.6 mm wide, is broader than the entire published length-ratio band converted into crown lift at the working line, which comes to 81.6 mm. A catalogue's word for tall and this page's number for a ratio are two different ladders, which is why a crown height quoted without a head under it tells you nothing about a face. The 27 in band is not a head measurement either: it is a head's measure plus a 3 in lap, and the overlap is stated because a cloth ring has to be joined somewhere. No head-size range is printed on this page. This site publishes one on the calculator named above, and a standard figure from a 1915 course manual is not the same object as this site's working band, so the two are kept apart rather than averaged.

How Wide Should a Hat Brim Be

Hat brim width is the second quantity that can be run against a face, and the measurement it belongs to is the forehead rather than the cheekbones. The visible edge of a brim either falls short of your temple or stands past it, and the distance is read per side, which is why everything below is halved: a total width and an overhang are different numbers, and much of the advice in circulation uses the word for one when it means the other.

A forehead's width is a ratio times your cheekbone width. The forehead ratios this site's rule set spans on a soft tape reach from 0.80 at the narrow end of its seven outlines to 1.05 at the wide, and those two ends are published centres rather than a range invented for a table; the 1.00 row is the case where a forehead is exactly as wide as the cheekbones, which is why its cells repeat the cheekbone band's own ends. The spread published with that ratio is 0.08, which at the working line is 5.5 mm per side (0.22 in), and the whole 0.25 span of the band is 34.0 mm across the face, 17.0 mm or 0.67 in per side. The table multiplies each ratio by the three published widths; the last column is one self-defined question, how wide a brim has to be to clear your forehead by 10 mm (0.39 in) on each side.

Read that last column against the head floor before treating it as an order. The 10 mm allowance is this page's own and not a finding: set it to 5 mm per side at the working line and the answer moves from 156.0 mm to 146.0 mm (5.75 in); set it to 15 mm and it moves to 166.0 mm (6.54 in). What is not arbitrary is what the table shows next to it. A single fixed brim width does not give a single look. Hold the 156.0 mm row against both ends of the published band and the same hat stands 6.6 mm past one forehead and 23.6 mm past another — 3.58 times the overhang — with nobody's styling decision made anywhere in between.

Forehead width as a ratio times cheekbone width, with the total brim width that clears the forehead by 10 mm on each side

Forehead ratioForehead at 128.2 mmat 136 mmat 148.8 mmBrim for 10 mm per side, at 136 mm
0.80102.6 mm (4.04 in)108.8 mm (4.28 in)119.0 mm (4.69 in)128.8 mm (5.07 in)
0.85109.0 mm (4.29 in)115.6 mm (4.55 in)126.5 mm (4.98 in)135.6 mm (5.34 in)
0.90115.4 mm (4.54 in)122.4 mm (4.82 in)133.9 mm (5.27 in)142.4 mm (5.61 in)
0.95121.8 mm (4.79 in)129.2 mm (5.09 in)141.4 mm (5.57 in)149.2 mm (5.87 in)
1.00128.2 mm (5.05 in)136.0 mm (5.35 in)148.8 mm (5.86 in)156.0 mm (6.14 in)
1.05134.6 mm (5.30 in)142.8 mm (5.62 in)156.2 mm (6.15 in)162.8 mm (6.41 in)

Every cell in the three middle columns is the row's ratio multiplied by the column's cheekbone width, rounded to one decimal, with the inches taken from the unrounded product and rounded separately. The last column is the 136 mm cell plus 20 mm, which is this page's own 10 mm allowance counted twice. Nothing published fixes that allowance, and it is stated as this page's rather than as a typical figure because the published record does not contain the measurement it would be typical of: the only clause in the ten positions that puts a brim and a number in one sentence belongs to one item's description, gives a width of 10 cm — 100 mm, 3.94 in — and does not say whether that is the sweep or the whole distance across, nor name a face it applies to. A column of head sizes printed beside a navigation label that mentions wide brims is not a brim figure, and this page does not count it as one. Sensitivity on the two self-defined ends: the same 156.0 mm brim is 21.8 mm narrower than the 1915 example head across, so for a head that size the width is not available at all and the ratio is describing where an edge you cannot buy would fall; and a forehead measure 6 mm wider than your row gives an overhang 3 mm smaller on each side, which is over half of the whole allowance.

What a Century of Written Advice Left Unmeasured

The table below orders what could be dated by the date each source carries, and lets the undated ones sit at the bottom with their word counts so the gap in the record stays visible instead of being smoothed over. Two printed manuals and four of the ten positions carry a date; six positions carry none, and one of those shows only a copyright year in its footer. Two of the ten are a size-picker page and a product filter rather than text, and they get no row.

The last column is the one to read, because across the whole span it says the same thing. From the first of the 1915 imprints to the most recent dated position is 40,198 to 40,562 days depending on which day of that year the manual left the press, which is 110.06 to 111.05 years, and in all of that distance the crown word and the brim word never once get a millimetre attached to them. Inside the recent rows alone the finding repeats: 1,208 days, 3.31 years, between the 2022 guide and the January 2026 one; 852 days, 2.33 years, between the 2022 guide and the piece that carries a machine-readable timestamp of 29 January 2025; 247 days, 0.68 years, between the May 2025 article and the newest row. The 2026 position answers with two tables of names. The 2022 position answers with a list of outlines and no figure beside any of them. The timestamped 2025 piece uses the words for ratio and proportion eight times and never once with a number after them. The 1915 manuals answer in wire and cloth. Ask any of the four how far a crown should stand above a particular head and each reaches for a different kind of object.

Dates as each source carries them, read against the ten positions on 6 October 2026; the two printed rows are described in this page's words rather than quoted, because both were read through a transcription and a transcription is not clean

PublishedWhat kind of sourceWhat it says about crown and brimWhat its instruction leaves you holding
1915, imprint year and nothing elseA printed millinery course manual in two parts; the author's name is not printed here because the transcription garbles itA crown's height allowed 1 to 5 in and set at 3 in for the example; wire measured 12 in over the crown; a brim piece struck 18 in across; a 6 in bias strip for a rolled edgeLengths of wire and cloth that follow the head and the sweep. No quantity taken on a face appears anywhere in either part
September 30, 2022A maker's own guide, 2,520 words, no tableNames eight outlines and answers each with a silhouette; the two hat words appear 22 timesA label for your face and a name for a hat, with nothing between them you could check
January 29, 2025, printed in the text and again as a machine-readable timestampA guide, 3,366 words, no tableRecommends by balance and proportion; the two hat words appear 37 times, and the words for ratio and proportion eight timesA phrase to repeat, and no way to tell whether the hat in your hand satisfies it
May 18, 2025A shop's article, 3,812 words, no table; seven further dates on that page belong to a story list rather than to the articleSorts outlines against styles in prose and gives no measurement of a crown or a brim at allThe same name-to-name answer, in longer sentences
January 20, 2026A retailer's guide, 1,496 words, two tablesBoth tables run outline against style name; the instruction stops at a crown it calls short and a brim it calls wideTwo tables, and not one figure inside either of them
Undated; 2,096 words, a copyright year in the footer, one eleven-row tableThe only one of the ten positions to print a face measurement as a ratioIts ratio decides which outline you are; the crown and brim advice that follows is given for each of seven outlines in wordsA number for the face and words for the hat, inside one document, never joined
Undated; 1,979 words, with its own question-and-answer sectionA shop's advice pageAnswers how a hat should fit in words; the two hat words appear 14 timesThe same phrasing handed back when the question asked is a numeric one
Undated; 4,139 words, largely catalogueProduct copy for a single itemThe one clause in the ten that puts a brim and a figure together: a width given as 10 cm, 100 mm or 3.94 in, for that itemA specification with no landmark — sweep or whole width is not said — and no face in the sentence
Undated; 1,256 wordsA product page with a paragraph of advice attachedCounters a round outline with a loose cut and a slender one with a fitted cut; its single figure is a diameter of 27 cm on the itemA hedge in words, and a diameter that belongs to the goods rather than to you

Two positions carry no row and are accounted for here rather than dropped: one is a shopping page whose hat advice is a filter over outlines, and one is a size picker whose only figures are head sizes in a navigation column. The 1915 rows are counted as one row because both parts were issued the same year by the same course; their figures appear in the second table with the conversions. The word counts are counts of text after markup was stripped, so a page that carries a catalogue and a story list reports a large number for reasons that have nothing to do with depth.

What These Tables Do Not Settle

Do hats flatter face shape is a question these two divisions cannot answer, and it is worth being exact about why not. A division tells you how far a thing moves; it does not tell you which direction you wanted. Nothing in 0.037 or in 23.6 mm says whether you would prefer a taller crown, and this site publishes no measurement of preference of any kind — the five readings in its rule set are widths, an angle and a ratio, all taken on a bare face.

Three further things sit outside the tables. They are silent about how a hat sits: a crown pushed back on the head and one pulled down to the brow carry the same measurement and change the same lift, and the 1915 manuals note that a covering strip goes on with slack so an edge can be shaped afterwards, which is a fitting variable rather than a ratio. They say nothing about asymmetry, because both divisions are taken straight across. And they suppose a brim's edge level with the temple at the sides — a dipped or swept brim moves the reading at the front while leaving the side number exactly as measured.

What survives all of that is the shape of the answer, which is a division and not a list. If a page on this subject cannot tell you which two numbers to hold against a mirror, it is answering a different question, and the chains above are everything in it that can be settled with a ruler while your face stays precisely as it is.

  • Two divisions, one per ratio: lift ÷ cheekbone width, and brim width read against a forehead that is itself a ratio times that width. Everything else a catalogue offers you is a name.
  • The head's column wins any argument about a floor. A brim cannot be narrower than the skull it sits on — 177.8 mm across in the 1915 example, against 128.8 to 162.8 mm from the forehead arithmetic at the working line.
  • A hat never changes your measured ratio. It changes where the top of your head reads as being, which is the only reason the number is worth taking at all.
  • If your lift or your width falls outside a table, do the division instead of the lookup. The grids are worksheet ends, and this site publishes no band for a crown standing above a head because it has never measured one.

Two divisions and one floor. A crown lengthens the outline you present by however far it stands above your own head, divided by your cheekbone width: 25 mm of lift at the working line is 0.18 of ratio, one published standard deviation, and the same 25 mm is 0.195 at the narrow end of the published width band and 0.168 at the wide end. A brim is scored the same way against a forehead, and 156.0 mm of total width clears one face by 6.6 mm per side and another by 23.6 mm.

What the subject publishes instead is 190 uses of two words across ten pages, no millimetre among them, one 10 cm figure attached to a single item, and a ladder of wire measurements printed in inches in 1915 and never superseded. That is not an oversight about style: one operand in each division lives on a head wearing a hat and the other on a face measured without one, and neither of them exists in a catalogue.

What is still missing is a published band for the lift. This site's five readings are all taken on a face, so a crown standing above a head is a quantity this rule set has never measured on anybody, and every grid on this page is a worksheet rather than a finding. Take the two readings, do the two divisions, and treat the tables as arithmetic you can redo — which is the only thing they were ever built to be.

Questions this page answers

Does the height of a hat crown change how long my face looks?

It changes the silhouette, not the measurement. A crown that stands 25 mm above the top of your head adds 25 mm at the top of the outline you present, and divided by the 136 mm working width that is 0.18 of the length ratio — one published standard deviation, which is the entire upper slack above the oval centre this site publishes. The same lift is 0.195 of ratio at a cheekbone width of 128.2 mm and 0.168 at 148.8 mm, so the effect is a division rather than a fixed figure, and the width in it is yours.

Which hat measurements depend on my head rather than on my face?

Three of them: the ring that closes around the skull, the depth a head occupies inside a crown, and the circle a brim is cut to. A 1915 millinery course fixes all three in inches — 12 in of wire run over a crown, an oval of 8½ by 7 in drawn around the head, an 18 in circular piece for a brim — and none of those figures contains anything measured on a face. This site publishes its own head-size range on the hat size calculator rather than in a guide, so the arithmetic here stops at conversions and does not reprint that band.

Is there a published brim width that goes with a particular face shape?

Not in that form. Across the ten positions read on 6 October 2026 the words for crown and brim appear 190 times and a millimetre figure appears zero times in all ten. One clause does put a brim and a number in the same sentence, and it reports 10 cm as a property of one item without saying whether that is the sweep or the whole width, and without naming a face. The arithmetic on this page shows why a fixed width is not an answer anyway: 156.0 mm stands 6.6 mm past one forehead and 23.6 mm past another, because the forehead is a ratio times a width rather than a size.

Can I use these tables to choose between two styles I already like?

Not for the liking, and the page has a section for exactly that limit. The tables settle two distances — how far a crown lengthens the outline, and how far a brim falls outside your own forehead — and this site publishes no measure of preference to rank two hats against. What they do for a choice you have already made is narrower and worth having: they tell you whether the brim you like actually clears your forehead at all once the head's own width has been paid for, and whether the crown you like spends a whole standard deviation or a fifth of one.