SIDE BY SIDE
Compare mantic systems
Read systems against shared questions to identify common language, procedural differences and distinct limits.
| Dimension | 河洛理数 ↗ | 河图、洛书与九宫 ↗ |
|---|---|---|
| Family | Yijing-derived and correlative systems | Divination and correlative foundations |
| Inputs | Birth time, calendar convention, number sequence and change table | Edition-specific image, number positions and caption |
| Procedural structure | Stems, branches, Hetu-Luoshu numbers and yin-yang generate a pre-celestial natal hexagram and original line; post-celestial, major-cycle and annual hexagrams are then arranged and read through line texts and numerical relations. | Hetu-Luoshu diagrams arrange numbers spatially and interpret generation and change through yin-yang, the five phases, direction and cycles. The Nine Palaces coordinate number, time and position around a center and eight directions. |
| Formation | Received system reliably attested in the late Ming | Concepts attested early; familiar dot diagrams largely stabilized in the Song |
| Evidence labels | Textually documented · Traditional attribution · Contested lineage or date | Textually documented · Traditional attribution · Contested lineage or date |
| Texts | Heluo Lishu / Ji Dakui's Critical Guide to Heluo Lishu | Zhouyi, Xici / Documents, Great Plan / Introduction to Yijing Learning |
| Limits | Lineage claims must be distinguished from datable composition, and editions may differ in numbers, original-line rules and annual tables. | The dragon-horse and divine turtle are cultural origin narratives; early textual mentions do not prove that Song dot diagrams descended unchanged from Fuxi or Yu. |
| Research question | How do time boundaries and number conventions affect outputs? | Do labels, number sequences and directions agree across editions? |