Letter 1-Cycle Semi-Log Graph Paper PDF
Letter portrait | 1 logarithmic cycle | Blue grid
US Letter semi-log paper
This Letter template keeps the horizontal axis linear and divides the vertical logarithmic axis into 4 cycles. It can represent four orders of magnitude, for example 1 to 10,000, on a 8.5 x 11 inch page.
Template details
US Letter is the standard everyday paper size for most home, school, and office printers in the United States and Canada. This template keeps the horizontal X-axis linear with 10mm spacing and uses a base-10 logarithmic scale on the vertical Y-axis.
4 cycles cover four orders of magnitude, for example 1 to 10,000. The plotting area is 195.9 x 259.4 mm, and each logarithmic cycle occupies approximately 64.8 mm.
Four-cycle semi-log paper provides room for wide-range scientific and engineering data spanning four powers of ten.
Plot population growth, bacterial growth, radioactive decay, cooling curves, and other data where equal ratios matter more than equal differences.
The 4-cycle logarithmic axis helps spread values across four orders of magnitude, while the other axis remains linear for time, distance, frequency, or another regular variable.
US Letter is suited to us home, school, and office printing. The page leaves room for titles, axis labels, units, plotted points, and notes around the grid.
Both formats use the same base-10 structure and 4 cycles. Choose US Letter for us home, school, and office printing; choose A4 when international home, school, and office printing better matches the printer or project.
Open A4 4-cycle semi-log paper →| Comparison | US Letter | A4 |
|---|---|---|
| Page size | 8.5 x 11 in (215.9 x 279.4 mm) | 210 x 297 mm (8.27 x 11.69 in) |
| Plotting area | 195.9 x 259.4 mm | 190 x 277 mm |
| Each log cycle | 64.8 mm | 69.3 mm |
| Linear 10mm intervals | 19 | 19 |
Use the PDF when accurate spacing matters. The logarithmic subdivisions and stated physical measurements are preserved when the correct paper and scale settings are selected.
Load 8.5 x 11 inch paper and select Letter as the paper size in the print dialog.
Select Actual Size or 100% scale. Turn off Fit, Shrink, and Scale to Page options.
Keep the print dialog set to portrait so the graph is not rotated or reduced automatically.
Measure two neighboring lines on the horizontal X-axis; they should be 10mm apart.
8 ready-made templates are available for this paper size.
Letter portrait | 1 logarithmic cycle | Blue grid
Letter landscape | 1 logarithmic cycle | Blue grid
Letter portrait | 2 logarithmic cycles | Blue grid
Letter landscape | 2 logarithmic cycles | Blue grid
Letter portrait | 3 logarithmic cycles | Blue grid
Letter landscape | 3 logarithmic cycles | Blue grid
Letter portrait | 4 logarithmic cycles | Blue grid
Letter landscape | 4 logarithmic cycles | Blue grid
Answers specific to using and printing 4-cycle semi-log graph paper on US Letter.
4 cycles span four orders of magnitude. A common example is 1 to 10,000, but the same paper can begin at another power of ten, such as 0.1, 10, or 100.
The vertical Y-axis is logarithmic and the horizontal X-axis uses regular 10mm spacing. Use the custom generator if you need the logarithmic scale on the other axis.
Assign each major cycle boundary a power of ten that covers your data. Within each cycle, the minor lines represent 2 through 9 times the value at the start of that cycle.
Select US Letter paper, use Actual Size or 100% scale, and disable Fit to Page. The regular lines on the linear axis should remain 10mm apart.
Portrait gives the vertical logarithmic axis more physical room per cycle. Landscape gives the linear horizontal axis more room for time points, labels, and long data series.