I Ching & Five Elements calculators (11)

Eight trigrams (八卦), the 64 hexagrams (六十四卦) with changing lines, Plum Blossom numerology (梅花易数), Liu Yao coin-oracle charts (六爻), five-element relations (五行生克), stem/branch relations, Ming Gua / Eight Mansions (命卦), Luo Shu and name numerology — structured reference calculations, not predictions.

Markdown version: /yijing.md · JSON: /api/v1/calculators?category=yijing

• Bagua Trigram Lookup (八卦) — Looks up one of the eight trigrams (八卦, bagua) and returns its lines, Fuxi (先天, xiantian) and Luoshu (洛书, later-heaven) numbers, directions in both arrangements, element, yin/yang, family member, body part, animal, attribute and season, plus a table of all eight. (md · api)
• I Ching Hexagram Lookup (六十四卦) — Identifies one of the 64 hexagrams (六十四卦, liushisi gua) from its King Wen number, name, two trigrams or line digits and returns its lines, trigrams, nuclear (互卦, hugua), inverse (综卦, zonggua) and opposite (错卦, cuogua) hexagrams, its Jing Fang palace (京房八宫, Jingfang bagong) with 世/应 (shi/ying) lines, and the received judgment text (卦辞, guaci). (md · api)
• Hexagram Change Calculator (变卦) — Applies moving lines (动爻, dongyao) to a hexagram and returns the changed hexagram (之卦, zhigua), the nuclear hexagrams of both, the line titles of the moving lines and which text to read according to the traditional rule attributed to Zhu Xi (朱熹). (md · api)
• Five Elements Relation (五行生克) — Determines the Wuxing (五行) relation between two elements — generating (相生, xiangsheng), controlling (相克, xiangke) or same — and returns the full generating and controlling cycles plus the traditional correspondence profile of each element (direction, season, colour, planet, organs, taste, emotion, climate, Hetu numbers, stems, branches, trigrams). (md · api)
• Stem and Branch Relations (干支合冲刑害) — Finds the traditional relations among a set of heavenly stems (天干, tiangan) and earthly branches (地支, dizhi): stem combinations (五合, wuhe) and clashes (相冲, xiangchong), branch six-combinations (六合, liuhe), three-harmony frames (三合局, sanheju, incl. 半合 banhe), directional combinations (三会, sanhui), clashes (六冲, liuchong), harms (六害, liuhai), punishments (相刑 xiangxing, 自刑 zixing) and destructions (相破, xiangpo). (md · api)
• Ming Gua Calculator (命卦 / Eight Mansions) — Computes the personal trigram (命卦, minggua) and Kua number from the birth year and sex by the Luoshu year-star method, assigns the East Four / West Four group (东四命 dongsiming / 西四命 xisiming) and lists the four favourable and four unfavourable directions of the Eight Mansions (八宅, bazhai) school. (md · api)
• Luoshu Square (洛书) — Describes a palace of the Luoshu magic square (洛书, Lo Shu): its colour name (一白 … 九紫), later-heaven trigram, direction, element, season and family member, together with the full grid, the magic constant 15, the Hetu (河图) partner number and the opposite palace. (md · api)
• Plum Blossom Numerology (梅花易数) — Casts an I Ching hexagram by the Plum Blossom (Meihua Yishu) method of Shao Yong from the lunar year, month, day and hour (年月日时起卦) or from two or three given numbers, then derives the moving line, changed hexagram (之卦), nuclear hexagram (互卦), the 体 (Ti, self) and 用 (Yong, matter) trigrams and their five-element relations. (md · api)
• Liu Yao Hexagram Chart (六爻) — Builds the full Liu Yao (six-lines coin oracle) chart for six cast lines: original and changed hexagrams, the 京房 palace with 世/应 lines, the 纳甲 stem-branch of every line, six relatives (六亲) against the palace element, six beasts (六神) from the day stem, void branches (旬空), day and month relations and hidden lines (伏神). (md · api)
• Number Numerology (数字数理) — Reduces a phone, licence-plate or account number to a number 1–81 (last four digits mod 80, or the digit sum) and reports its rating and traditional gloss from the 81 数理 table of five-grid numerology, plus the five-element mapping of its digits under the 河图 and the common 数字五行 conventions, digit counts and the digital root. (md · api)
• Name Numerology – Five Grids (五格剖象法) — Computes the five grids (天格, 人格, 地格, 总格, 外格) of a Chinese name from the 康熙字典 stroke counts of the surname and given-name characters, rates each grid with the 81 数理 table, assigns five elements by the last digit and evaluates the 三才 (heaven-human-earth) configuration by the generating and controlling cycles. (md · api)