Order of the sixty Gua Qi hexagrams

What the columns mean

id (string)

Stable row identifier, unchanged across versions

thu_tu (int)

Position in the sixty-hexagram cycle, Inner Truth is 1

so_van_vuong (int)

Hexagram number in the King Wen order, 1 to 64

ten_que (string)

Hexagram name in Vietnamese

ten_han (string)

Hexagram name in Han characters

hao (string)

Six lines from the first line to the top line, 1 is yang and 0 is yin

thang_khi (string)

Mid-month solar term opening the solar month the hexagram belongs to, five hexagrams per solar month

vai_tro (string)

Rank within the solar month in Vietnamese: công (duke), tích (sovereign), hầu (marquis), đại phu (grand master) or khanh (minister)

vai_tro_han (string)

Rank within the solar month in Han characters as in the source table: 公, 辟, 侯, 大夫, 卿

phut_bat_dau (int)

Minutes from the winter solstice until the hexagram takes over, equal to (thu_tu minus 1) times 8,766

ngay_bat_dau (float)

Same as phut_bat_dau but in days; four decimal places are exact

nguyen_van_nguon (string)

Hexagram name exactly as the Wikisource edition of the New Book of Tang juan 28A prints it, errors included; where it differs from ten_han, see hieu_dinh

hieu_dinh (string)

Emendation code where the site reads differently from the source text, empty when there is none. Codes come from the danh_muc_hieu_dinh list in the metadata (sua-loi-chep, chuan-hoa, phuc-dung, chon-quy-uoc); the reason for each row is in ghi_chu

ly_do_hieu_dinh (string)

Short machine-readable reason code for the emendation, empty when there is none. chuoi-12-que-tich: the second slot of each solar month is a sovereign hexagram, and the twelve sovereign hexagrams Fu, Lin, Tai, Da Zhuang, Guai, Qian, Gou, Dun, Pi, Guan, Bo, Kun form a known sequence

vi_tri_nguon (string)

Where the row sits in the source: work, juan, table and solar month

vi_tri_nguon_en (string)

The vi_tri_nguon column in English

vi_tri_nguon_zh (string)

The vi_tri_nguon column in Chinese

nguon (string)

Kind of source for this row, one or more parts separated by semicolons, each being tinh-toan (computed by the engine), quy-uoc-truyen-thong, quy-uoc-he-hien-dai (convention of a tradition or of a modern system), van-ban (with the work after a colon) or bien-tap (with details); static details are also in the metadata nguon_chi_tiet, and the two largest datasets give them only there; which column belongs to which part is given by each column's loai_bang_chung in the metadata

ghi_chu (string)

Where the schools disagree on this row; empty when they do not

Release

Data release ID

2026.10.27-cd6fca71 · manifest.json

Dataset version

1.3.1

Dataset last changed

2026-09-30The date in the release ID is when the most recently changed dataset of the whole release changed. This dataset has not changed since the date above, so it keeps its version and is still part of this release.

Generated

2026-10-27 08:07 UTC

Rows

60 rows, 19 columns

Schema hash

654aa1738eb94530…Copysha256 of each column's name and type

Download this exact release

• thu-tu-60-que-quai-khi.csv · 26.8 KB · sha256 8eef1c25a1ee47ce…Copy
• thu-tu-60-que-quai-khi.json · 49.6 KB · sha256 3e8662be6ccde3db…Copy
• thu-tu-60-que-quai-khi.meta.json · 39.4 KB · sha256 b8bd1dbf1e99c99e…Copy

The “CSV for Excel” button at the top serves a copy with a BOM, so its hash differs from the CSV here.

Changes

Version 1.3.1 (2026-09-30), type schema: Adds the columns vi_tri_nguon_en and vi_tri_nguon_zh; metadata adds nhat_ky_hieu_dinh (original, emended reading, reason, source, person and date of the 史 to 夬 emendation). Metadata adds source_ids (source register nguon-thu-tich.csv), rule_ids (rule register quy-tac.json), danh_muc_tu_vung_nguon (the eight kinds of the nguon column with their English equivalents), a per-column epistemic_status and danh_muc_epistemic_status; the data is unchanged byte for byte. The model profiles (solar terms 2.2.0, lunar calendar 1.2.0, Gua Qi 1.2.0) add kiem_dinh in a common layout: status, reference, sample size, tolerance, MAE, RMSE, median, P95, P99, maximum, bias, number of exceptions; each exception is listed in the companion file ngoai-le-doi-chieu.csv, and every check of every dataset in kiem-dinh.csv. The data is unchanged byte for byte.

Changelog of every dataset (CHANGELOG on GitHub)

Method

• Daily hexagram by the Gua Qi method quai-khi-manh-hy-6-ngay-7-phan-v1, engine version 1.2.0
• Solar term moments tiet-khi-meeus-c25-bieu-kien-v2, engine version 2.2.0 (indirect)

Engine version of the release: 2.0.0. Full model profiles (mo-hinh.md)

Verification

• Daily hexagram by the Gua Qi method: tested against IMCCE (4,824 instants, at most 15 min off).
• Solar term moments (indirect): tested against IMCCE (4,824 instants, at most 15 min off), U.S. Naval Observatory (804 instants, at most 15 min off).

Invariants checked on the released file itself:

• hao is fully determined by so_van_vuong
• phut_bat_dau is fully determined by thu_tu
• ngay_bat_dau is fully determined by phut_bat_dau

Evidence types in this dataset, and how far each can be checked:

• B. Checked against a source text: the value can be compared with a specific text named in the nguon column (work, juan, edition), and the site's tests make that comparison.

Provenance

A lookup table copied from the source texts or systems named in nguon_thu_tich and the nguon column.

• B. Checked against a source text: thu_tu, so_van_vuong, ten_que, ten_han, hao, thang_khi, vai_tro, vai_tro_han, phut_bat_dau, ngay_bat_dau, nguyen_van_nguon, hieu_dinh, ly_do_hieu_dinh, vi_tri_nguon, vi_tri_nguon_en, vi_tri_nguon_zh

Reuses content from: 64-que-kinh-dich.

Codes in the hieu_dinh column:

• chon-quy-uoc: The sources have several variants or readings; the site picks one by convention, with the reason in ghi_chu or ghi_chu_chung.
• chuan-hoa: The spelling changes but not the meaning: variant Han characters, traditional and simplified forms, spelling of proper names.
• phuc-dung: The source is missing or illegible at that point; the site reconstructs it from another source or from the table's own rule, named in ghi_chu.
• sua-loi-chep: The source has a copying error; the site reads the correct character, the source text is kept in nguyen_van_nguon and the independent evidence is in ghi_chu.

Cite this dataset

Nhật Nguyệt (2026). Order of the sixty Gua Qi hexagrams (version 1.3.1, data release 2026.10.27-cd6fca71) [Data set]. CC BY 4.0. DOI 10.5281/zenodo.23009396. https://nhatnguyet.org/en/bang/thu-tu-60-que-quai-khiCopy

The concept DOI always resolves to the latest release. Zenodo mints a DOI for each release after it is published, and the next release records it in the manifest.

Licence and limitations

Released under CC BY 4.0: reuse commercially, adapt freely, attribution is all that is asked.

Source: Nhật Nguyệt (nhatnguyet.org), CC BY 4.0

This dataset records cultural and calendrical conventions, not scientific claims. It is suitable for cultural research, NLP, and calendar applications. It is not intended for predicting events, evaluating people, or making decisions that affect anyone.

Source texts: Tân Đường thư, quyển 28 thượng (Lịch chí 4 thượng), phát liễm thuật của lịch Đại Diễn; Tân Đường thư, quyển 27 thượng (Lịch chí 3 thượng), Quái nghị của Nhất Hạnh.

Other reference tables

• The ten heavenly stems
• Compatibility matrix of the 12 earthly branches
• The twelve earthly branches
• The twelve day officers (Thap Nhi Truc)
• The 22 Major Arcana of the Tarot
• The 24 solar terms
• The 56 Minor Arcana cards
• Sexagenary cycle table (60 Hoa Giap)
• The 64 hexagrams of the I Ching
• The nine presiding stars (Cuu Dieu)
• Zodiac sign boundaries year by year, 1950 to 2050
• Retrieval evaluation set for Vietnamese folk belief and calendar
• Letter to number tables, Pythagorean and Chaldean
• Kua number and Bat Trach directions
• Where the schools disagree
• Auspicious hours across the sixty-day stem-branch cycle
• The sixty stem-branch pairs crossed: sounds, harmony, clash and element relation
• Questions and answers on Vietnamese offering rites
• Things to avoid and practical notes for Vietnamese offering rites
• Vietnamese festivals mapped to solar dates, 2026 to 2030
• Festivals and folk beliefs of the 54 ethnic groups of Vietnam
• Vietnamese festivals, seasonal feasts and public holidays
• Vietnamese ritual offerings
• Vietnamese lunisolar calendar, 1900 to 2100
• Types of Vietnamese offering rites
• Start moments of the 24 solar terms, 1900 to 2100
• Folk inauspicious days mapped onto solar dates, 2026 to 2035
• Vietnamese offering procedures
• Daily hexagram by the Gua Qi method, 1900 to 2100
• Tam Tai, Kim Lau and Hoang Oc by birth year and year in question
• Segments of the three Lo Ban rules
• Vietnamese offering prayers (văn cúng)

See every reference table