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🩺 生理節律相性配對計算機

專業免費的 生理節律相性配對計算機。純前端本機毫秒級計算、零資料上傳、極致隱私保護。提供詳細公式推導、實例示範與常見問答。

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What is the Biorhythm Compatibility Calculator?

This is a universal, pseudo-scientific tool that compares the classic three biorhythm cycles of two people: Physical (23 days), Emotional/Sensitivity (28 days), and Intellectual (33 days). It reports a compatibility value from 0 to 1 for each cycle based on the gap between the two birthdays, and draws a chart of the difference between the two people's biorhythm waves over roughly one month. The math is the same everywhere; the optional Japanese-era year entry (Meiji, Taisho, Showa, Heisei, Reiwa) is offered purely as a convenience and is valid only from 1873 onward.

How to use it

Enter each person's birthday (year, month, day) and a base date for the graph. For most users, leave the era dropdown on "Western (Gregorian)" so the typed year is the full year (e.g. 1990). Submit to see three compatibility numbers plus a difference graph.

The formula explained

Each calendar date is converted to a Julian Day Number (JDN) so day gaps are exact. Let t be the day gap between the two birthdays. For each cycle period T, compatibility = ≤ft|\cos\!≤ft(((π · t) ÷ (T))\right)\right|. A value near 0 means the two rhythms are well matched; near 1 means they are out of sync. The graph value for day k is

((\sin\!≤ft(((2π · t_1) ÷ (T))\right) - \sin\!≤ft(((2π · t_2) ÷ (T))\right)) ÷ (2)),
where t_1 and t_2 are each person's age in days at that day.

Worked example

Self born 1990-06-15, partner born 1992-09-20. JDN gap

t = 2448058 - 2448886 = -828 days.
Physical = ≤ft|\cos\!≤ft(((π · 828) ÷ (23))\right)\right| = ≤ft|\cos(36π)\right| = 1.0 (out of sync). Emotional = ≤ft|\cos\!≤ft(((π · 828) ÷ (28))\right)\right| ≈ 0.2225 (well matched). Intellectual = ≤ft|\cos\!≤ft(((π · 828) ÷ (33))\right)\right| ≈ 0.9594 (out of sync).

Biorhythm Cycle Constants

Classic biorhythm theory models three independent sine waves that all start at the moment of birth. Each wave has a fixed period measured in days. This calculator uses these standard periods to score how closely two people's cycles line up:

Cycle Period (P) What it traditionally represents
Physical 23 days Strength, energy, stamina, coordination
Emotional (Sensitivity) 28 days Mood, sensitivity, creativity, intuition
Intellectual 33 days Alertness, memory, logic, analytical ability

To measure the exact gap between two birthdays, the tool converts each date to its Julian Day Number (JDN) — a continuous integer count of days that ignores months and leap-year boundaries. The day gap is simply

t = JDN_{self} - JDN_{partner}

Because the JDN advances by exactly 1 each calendar day, this difference automatically handles different month lengths and leap years, giving a whole-number count of days between the two dates. The compatibility for each cycle is then

Compatibility = ≤ft| \cos\!≤ft( ((π t) ÷ (P)) \right) \right|

where P is 23, 28 or 33 depending on the cycle. The result always lands between 0 and 1.

Interpreting Your Compatibility Scores

Each cycle returns a number between 0 and 1. Counterintuitively, in this tool a value near 0 is the strongest match and a value near 1 is the weakest. Here is why.

The score is ≤ft|\cos(π t / P)\right|. When the day gap t is a quarter of a cycle (about P/4 days, or any odd multiple of it), the cosine is 0 — the two people's waves are roughly 90° apart. In biorhythm tradition this quarter-phase offset is treated as the matched or complementary state, where one partner is rising while the other steadies them. When t is a whole or half cycle, the cosine reaches ± 1, the waves are in step (0° or 180° apart), and the score is 1 — labelled here as out of sync.

Score Phase gap Reading
0.00 – 0.20 Near 90° Strongly matched / complementary
0.20 – 0.50 Moderate Fairly compatible
0.50 – 0.80 Moderate Mixed
0.80 – 1.00 Near 0° or 180° Out of sync

Reading the difference graph: the one-month graph plots each person's three waves around a chosen base date. Where two curves of the same colour cross near the centreline, the cycles are about a quarter-phase apart (a strong-match day); where they rise and fall together or mirror each other exactly, that cycle is in step and the daily score is high. Watching the curves over the month shows how the matched and out-of-sync days alternate as the cycles drift relative to one another.

Please note: biorhythm theory has no scientific validity. Controlled studies have never found that 23-, 28- and 33-day cycles predict mood, performance or relationship outcomes. These scores are for entertainment and curiosity only and should not be used to make real decisions about health, relationships or anything else.

使用注意事項與精準校對原則(6 大核心守則)

📐 1. 嚴格對齊輸入量綱與單位

輸入各項數值時請務必確認量綱(例如小時、天數、金額、百分比),避免單位不匹配引發推算偏差。

🔒 2. 純前端本機毫秒級隱私保障

所有計算邏輯 100% 在您的終端瀏覽器內完成,資料絕不上傳伺服器,嚴格守護商業與個人隱私。

📊 3. 符合公認學術與產業計算模型

演算法嚴格遵循國際通用數學公式與標準計算模型,經多重情境交叉核對,數值嚴密精確。

📋 4. 一鍵複製與免登入 PDF 匯出

支援一鍵複製推算結果字串至剪貼簿,亦可直接點擊列印按鈕輸出純淨 PDF 工作報表。

🔄 5. 多情景敏感度動態對比

建議針對極端值與多組預期情景分別試算,觀察輸出數據的波動區間,輔助做出更穩健的決策。

🛡️ 6. 專業諮詢與日常參考免責聲明

本工具運算結果供日常排程、學業研習與事前參考之用,如涉及重大法規或投資決策請諮詢持證專家。

常見問題 (FAQ)

Is biorhythm scientific?
No. It is a fixed, well-known set of sine cycles with no proven predictive value; treat it as entertainment.
Why is "well matched" near 0, not near 1?
The compatibility value measures the cosine of the phase gap. When it is small the two waves are 90 degrees apart, which the source defines as matched.
What does the graph show?
The difference (self minus partner, divided by 2) of each wave. Near +1 you peak while your partner is low; near -1 the reverse; near 0 you are aligned.