01
Bode Plots & Frequency Response
Plotting amplifier gain and filter cutoff frequencies across 3 to 5 frequency decades (10 Hz to 1 MHz).
工学・技術用方眼紙
paper.semi-log
paper.semi-log.desc
A4 Portrait · 210 × 297 mm
100%
正確な1:1物理スケール。印刷後50mm校正枠をご確認ください。
CSS: 96 DPIセクション 02 — 数学的原理と幾何標準
幾何学的基礎と座標計算式
Logarithmic Spacing Formula
Semi-logarithmic paper features one logarithmic axis and one linear axis. Within each decade interval [1, 10], line spacing contracts proportionally to log10(k), allowing exponential functions y = a · e^(bx) to plot as straight linear lines.
計算式:
d(k) = D · log10(k), k ∈ {1, 2, 3, ..., 10}; Decade width = D歴史的起源と科学の進展
Semi-logarithmic paper was developed in the late 19th century to linearize power and exponential data before digital computers, becoming a staple in acoustics, epidemiology, and electronics (Bode plots).
GraphPages.com では、すべてのベクター描画処理がブラウザ内で直接実行されるため、用紙余白や目盛りの寸法精度が 0.05 mm 以内に保たれます。
セクション 03 — 分野別活用シーン
産業・学術分野における実務応用
02
Radioactive Decay & Half-Life Curves
Tracking isotope decay rates where exponential decay N(t) = N0 · e^(-λt) appears as a straight line with slope -λ.
03
Epidemiological Growth Rates
Analyzing early virus reproduction rates and bacterial culture population doubling times.
04
Financial Interest & Inflation Tracking
Plotting compound interest growth and long-term equity valuations over multiple decades.
セクション 04 — 作図・プロットガイド
paper.semi-log でのステップ別作図手順
ステップ 01
Label the Logarithmic Decades
Assign power-of-ten multipliers to each decade marker along the log axis (e.g. 10⁰ = 1, 10¹ = 10, 10² = 100, 10³ = 1000).
ステップ 02
Scale the Linear Axis
Assign uniform arithmetic steps along the linear axis (e.g. time in hours, or voltage in volts).
ステップ 03
Plot Log-Linear Data Pairs
For a point (x, y), find x along the logarithmic decades using the intermediate tick marks (2, 3, 4... 9), then align with y on the linear scale.
ステップ 04
Evaluate Exponential Slope
Because exponential curves plot as straight lines, you can calculate the rate constant directly from the linear slope.
セクション 05 — プリンター校正ガイド
プリンター設定と実寸検証ガイド
100% 実寸印刷の正確性を保証するために
Ensure decade spacing is exact. A true decade must measure uniformly across all cycle repeats.
- 印刷ダイアログで「倍率：100%」または「実際のサイズ」を選択してください。
- 「用紙に合わせる」などの自動縮小設定を必ずオフにしてください。
- 余白に印刷された 50 mm 校正バーを定規で測り、正確性を確認してください。
セクション 06 — よくあるご質問
よくあるご質問 (FAQ)
Why do lines bunch together within each decade?
The distance from 1 to 2 represents log10(2) ≈ 0.301 of the cycle, while the distance from 8 to 9 represents log10(9/8) ≈ 0.051. This nonlinear compression reflects logarithmic scale mathematics.
How many decades are included on this sheet?
Our standard template provides 4 full logarithmic decades along the horizontal axis with a 20-division linear vertical axis.
Can semi-log paper plot negative numbers?
No. The logarithm of zero or a negative number is undefined (log10(x) → -∞ as x → 0+). Data on the log axis must be strictly positive.
What is the difference between semi-log and log-log paper?
Semi-log paper has one logarithmic axis and one linear axis. Log-log paper features logarithmic scaling on both axes.
仮想スタジオで開く — paper.semi-log
ブラウザ上でこの方眼紙に直接ダイアグラムを描いたり、座標をマークしたり、図形を描画できます。