Open calculations · Version 1.0.0

A hoop-size label is not
a design specification.

Name: Embroidery field-size boundary benchmark
Creator: SewingVerdicts

“4 × 4” and “5 × 7” are useful names. Treating them as exact inch measurements can change a near-boundary fit decision—in either direction. This benchmark makes the difference reproducible.

Published September 20, 2026 UTC · Source-checked September 20, 2026 UTC · 96 deliberately selected geometric scenarios, not machine tests

Explore the boundary cases ↓Download CSV Data & methods JSON →

2 documented field profilesExamples from SE700 and SE2000 sources

12 purpose-selected rectanglesNot a market sample or error-rate estimate

Visible assumptions0 / 2 mm allowance; 0° / 90° checks

The false-fit example

101.6 ≠ 100

A literal 4.00 × 4.00 in rectangle is 101.6 × 101.6 mm. With zero allowance it exceeds a 100 × 100 mm field by 1.6 mm in each dimension.

The false-rejection example

128.27 < 130

A 5.05 × 7.00 in rectangle is 128.27 × 177.8 mm. It fits inside 130 × 180 mm at zero allowance, but not a literal 5 × 7 in rectangle.

An assumption changes the answer

2 mm per edge

An illustrative 2 mm allowance on every side reduces 100 × 100 to 96 × 96 mm. A 3.90 in square fits the former, not the latter.

The results above are our arithmetic using the documented example dimensions below. “Fits” means a rectangular geometry check only, not permission to stitch.

Explore the same design under different assumptions.

Select one field, allowance and rotation setting to see 12 comparisons. Removing a filter exposes the complete 96-row dataset. All rows are available without JavaScript.

Documented fieldAllowance on each sidePermitted orientationsComparison result

96 of 96 modeled scenarios shown.

Documented field is the metric source rectangle. Nominal shortcut is a literal inch conversion. Allowances are subtracted from each edge of both rectangles. Exact-boundary passes are geometric only.
Design rectangle	Documented field	Scenario settings	Documented-field result	Literal nominal result	Comparison
3.90 × 3.90 in 99.06 × 99.06 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Both rectangles fit
3.90 × 3.90 in 99.06 × 99.06 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Both rectangles fit
3.90 × 3.90 in 99.06 × 99.06 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
3.90 × 3.90 in 99.06 × 99.06 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
100 × 100 mm 100 × 100 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Both rectangles fit
100 × 100 mm 100 × 100 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Both rectangles fit
100 × 100 mm 100 × 100 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
100 × 100 mm 100 × 100 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
4.00 × 4.00 in 101.6 × 101.6 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Nominal shortcut says fit; documented field does not
4.00 × 4.00 in 101.6 × 101.6 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Nominal shortcut says fit; documented field does not
4.00 × 4.00 in 101.6 × 101.6 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
4.00 × 4.00 in 101.6 × 101.6 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
3.94 × 3.94 in 100.076 × 100.076 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Nominal shortcut says fit; documented field does not
3.94 × 3.94 in 100.076 × 100.076 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Nominal shortcut says fit; documented field does not
3.94 × 3.94 in 100.076 × 100.076 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
3.94 × 3.94 in 100.076 × 100.076 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
96 × 96 mm 96 × 96 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Both rectangles fit
96 × 96 mm 96 × 96 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 100 × 100 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Both rectangles fit
96 × 96 mm 96 × 96 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Geometric fit 0° orientation; usable 96 × 96 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Both rectangles fit
96 × 96 mm 96 × 96 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Geometric fit 0° orientation; usable 96 × 96 mm	Geometric fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Both rectangles fit
20 × 200 mm 20 × 200 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
20 × 200 mm 20 × 200 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
20 × 200 mm 20 × 200 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
20 × 200 mm 20 × 200 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
5.00 × 7.00 in 127 × 177.8 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
5.00 × 7.00 in 127 × 177.8 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
5.00 × 7.00 in 127 × 177.8 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
5.00 × 7.00 in 127 × 177.8 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
5.05 × 7.00 in 128.27 × 177.8 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
5.05 × 7.00 in 128.27 × 177.8 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
5.05 × 7.00 in 128.27 × 177.8 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
5.05 × 7.00 in 128.27 × 177.8 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
130 × 180 mm 130 × 180 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
130 × 180 mm 130 × 180 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
130 × 180 mm 130 × 180 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
130 × 180 mm 130 × 180 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
7.00 × 5.00 in 177.8 × 127 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
7.00 × 5.00 in 177.8 × 127 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
7.00 × 5.00 in 177.8 × 127 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
7.00 × 5.00 in 177.8 × 127 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
130.1 × 180 mm 130.1 × 180 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
130.1 × 180 mm 130.1 × 180 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
130.1 × 180 mm 130.1 × 180 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
130.1 × 180 mm 130.1 × 180 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
126 × 176 mm 126 × 176 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
126 × 176 mm 126 × 176 mm	100 × 100 mm Brother SE700 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 100 × 100 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
126 × 176 mm 126 × 176 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
126 × 176 mm 126 × 176 mm	100 × 100 mm Brother SE700 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 96 × 96 mm	Does not fit Nominal 4 × 4 in → 101.6 × 101.6 mm before allowance	Neither rectangle fits
3.90 × 3.90 in 99.06 × 99.06 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
3.90 × 3.90 in 99.06 × 99.06 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
3.90 × 3.90 in 99.06 × 99.06 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
3.90 × 3.90 in 99.06 × 99.06 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
100 × 100 mm 100 × 100 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
100 × 100 mm 100 × 100 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
100 × 100 mm 100 × 100 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
100 × 100 mm 100 × 100 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
4.00 × 4.00 in 101.6 × 101.6 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
4.00 × 4.00 in 101.6 × 101.6 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
4.00 × 4.00 in 101.6 × 101.6 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
4.00 × 4.00 in 101.6 × 101.6 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
3.94 × 3.94 in 100.076 × 100.076 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
3.94 × 3.94 in 100.076 × 100.076 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
3.94 × 3.94 in 100.076 × 100.076 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
3.94 × 3.94 in 100.076 × 100.076 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
96 × 96 mm 96 × 96 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
96 × 96 mm 96 × 96 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
96 × 96 mm 96 × 96 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
96 × 96 mm 96 × 96 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Geometric fit 0° orientation; usable 126 × 176 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
20 × 200 mm 20 × 200 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 130 × 180 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
20 × 200 mm 20 × 200 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 130 × 180 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
20 × 200 mm 20 × 200 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
20 × 200 mm 20 × 200 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
5.00 × 7.00 in 127 × 177.8 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
5.00 × 7.00 in 127 × 177.8 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
5.00 × 7.00 in 127 × 177.8 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
5.00 × 7.00 in 127 × 177.8 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
5.05 × 7.00 in 128.27 × 177.8 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 130 × 180 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Nominal shortcut rejects a documented-field fit
5.05 × 7.00 in 128.27 × 177.8 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 130 × 180 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Nominal shortcut rejects a documented-field fit
5.05 × 7.00 in 128.27 × 177.8 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
5.05 × 7.00 in 128.27 × 177.8 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
130 × 180 mm 130 × 180 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 130 × 180 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Nominal shortcut rejects a documented-field fit
130 × 180 mm 130 × 180 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 130 × 180 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Nominal shortcut rejects a documented-field fit
130 × 180 mm 130 × 180 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
130 × 180 mm 130 × 180 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
7.00 × 5.00 in 177.8 × 127 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 130 × 180 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
7.00 × 5.00 in 177.8 × 127 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 90° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
7.00 × 5.00 in 177.8 × 127 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
7.00 × 5.00 in 177.8 × 127 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
130.1 × 180 mm 130.1 × 180 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Does not fit No tested orientation fits; usable 130 × 180 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
130.1 × 180 mm 130.1 × 180 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 130 × 180 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
130.1 × 180 mm 130.1 × 180 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
130.1 × 180 mm 130.1 × 180 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Does not fit No tested orientation fits; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Neither rectangle fits
126 × 176 mm 126 × 176 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° only	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
126 × 176 mm 126 × 176 mm	130 × 180 mm Brother SE2000 example	0 mm / side 0° and 90°	Geometric fit 0° orientation; usable 130 × 180 mm	Geometric fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Both rectangles fit
126 × 176 mm 126 × 176 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° only	Geometric fit 0° orientation; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Nominal shortcut rejects a documented-field fit
126 × 176 mm 126 × 176 mm	130 × 180 mm Brother SE2000 example	2 mm / side 0° and 90°	Geometric fit 0° orientation; usable 126 × 176 mm	Does not fit Nominal 5 × 7 in → 127 × 177.8 mm before allowance	Nominal shortcut rejects a documented-field fit

What the manufacturer sources actually say

The SE700 product page pairs the nominal 4 × 4 inch description with 100 × 100 mm in its Artspira design description, and lists a 10 × 10 cm included frame. The SE2000 page pairs 5 × 7 inches with 130 × 180 mm and lists an 18 × 13 cm frame. We use those documented metric rectangles for these two examples, not a universal rule for every machine with a similar label. SE700 source ↗ SE2000 source ↗

Brother’s separate maximum-area support answer says 3.93 × 3.93 inches for its covered models, which include SE700 and SE725. That is retained as the support page’s wording. We do not convert that separately rounded inch statement back into a different “exact” millimeter specification. A near-limit real design should still be checked in the current machine/software workflow. Support answer ↗

Why the shortcut can be wrong in both directions

One inch is exactly 25.4 mm. A literal 4 inch side is therefore 101.6 mm—larger than the documented 100 mm example. The literal 5 × 7 inch rectangle, however, is 127 × 177.8 mm—smaller in both dimensions than 130 × 180 mm. The issue is not that every nominal label overstates the area. It is that the label and the precise dimensions serve different purposes. NIST conversion definition ↗

This is why the dataset records “nominal false fit” and “nominal false rejection” separately. Those labels compare two arithmetic decisions. They do not measure how often shoppers make an error or how often a machine rejects a design.

Methods: every choice is visible

The full factorial set contains 12 deliberately chosen rectangles, two source-backed example field profiles, two allowances and two orientation settings: 12 × 2 × 2 × 2 = 96 rows. The cases were chosen to expose boundary, rounding, side-length, allowance and rotation effects. They were not sampled from customers’ designs, sales, downloads or installed machines.

design_mm = design_inches × 25.4
usable_width = field_width − 2 × allowance_per_side
usable_height = field_height − 2 × allowance_per_side
fit_0 = design_width ≤ usable_width AND design_height ≤ usable_height
fit_90 = design_height ≤ usable_width AND design_width ≤ usable_height
fit = fit_0 OR (quarter_turn_allowed AND fit_90)

The reference calculation compares dimensions before display rounding. Its 0.000000001 mm floating-point tolerance prevents binary arithmetic noise; it is not a physical clearance or manufacturing tolerance. With zero allowance, equality counts as a geometric pass. The 2 mm setting is an illustrative sensitivity assumption on all four edges—not a manufacturer recommendation, safety margin or guarantee of acceptable stitching.

Two checks a total-area comparison misses

A 20 × 200 mm rectangle has only 4,000 mm² of area, but neither its original orientation nor a quarter-turn fits in a 100 × 100 mm rectangle. Checking area alone discards the limiting side. Conversely, a literal 7 × 5 inch rectangle fits the 130 × 180 mm example after a quarter-turn at zero allowance, but not in the original orientation. That does not mean its file can be rotated, positioned or executed in every machine.

The benchmark tests 0° and optionally 90° only. It does not search arbitrary angles, trace nonrectangular hoop boundaries or parse an embroidery file. A negative result means no permitted orientation fits the tested rectangle, not that all conceivable rotations or re-digitized designs have been evaluated.

A larger frame is a separate question

Brother’s multiposition guidance explains that a larger supported frame can provide different positions without changing the covered machine’s maximum area for an individual design. Do not read a geometric fit result as proof that an accessory mounts to a machine or expands its single-position field. Our compatibility evidence finder addresses documented model/part references separately. Manufacturer explanation ↗

Scope: No machine was operated and no design was stitched to produce these results. No stitch-file acceptance, hoop-mount compatibility, carriage clearance, density, resizing quality, manufacturer endorsement or universal machine limit is established. Follow the current exact-model, frame and software requirements. Do not force an unsupported accessory or file to work.

Reproduce or cite this benchmark

Use the CSV for tabular comparisons and the JSON for the source notes, full input definitions and data dictionary. The standalone JavaScript module has no dependencies or network requests. Its exported buildRows() function reproduces the dataset; rectangleFit() exposes the arithmetic. All versions identify the same scenario-selection limits.

CSV · 96 cases JSON & methods Reference arithmetic

Suggested attribution: SewingVerdicts, “Embroidery field-size boundary benchmark,” version 1.0.0, September 20, 2026. Deliberately selected geometric scenarios, not measured machine performance.

When referencing a result, retain the field dimensions, design dimensions and units, per-side allowance, and permitted rotation. Link to this page for the complete methods. Do not present the disagreement count as a real-world rejection rate. Corrections supported by current manufacturer documentation are welcome under our corrections policy.

Primary sources and review notes

Brother SE700: nominal label and 100 × 100 mm design field ↗ — checked 2026-09-20. The product page pairs 4 × 4 inches with 100 × 100 mm in its Artspira description and 10 × 10 cm in its included frame description.
Brother SE2000: nominal label and 130 × 180 mm design field ↗ — checked 2026-09-20. The product page pairs 5 × 7 inches with 130 × 180 mm in its Artspira description and 18 × 13 cm in the included frame description. Width/height are normalized here to 130 × 180 mm.
Brother Support: maximum embroidery area ↗ — checked 2026-09-20. Support lists 3.93 × 3.93 inches for covered models including SE700 and SE725. This separately rounded inch statement is preserved as a note, not back-converted to override the metric field.
Brother Canada Support: larger and multiposition hoops ↗ — checked 2026-09-20. Explains why the covered machines retain their single-design embroidery area with a larger multiposition frame.
NIST: SI Units — Length ↗ — checked 2026-09-20. The international inch is exactly equivalent to 25.4 mm.