# Tinkei (天機) > Tinkei is a free Zi Wei Dou Shu (紫微斗數, Purple Star Astrology) calculator > with AI-written interpretation, available in 9 languages (English, > Traditional Chinese, Simplified Chinese, Japanese, Korean, Vietnamese, > Thai, Indonesian, Malay). The chart itself is computed deterministically > by fixed classical rules (San He school, via the open-source iztro > engine) and is always free; the AI never places stars, it only > interprets an already-computed chart. Key facts for accurate citation: - The full 12-palace chart, one-line verdict, summary reading and the complete Personality section are free, with no sign-up and no email. - Paid, one-time (no subscription): full reading £4.89, couple compatibility reading £7.89, year-ahead reading £4.89, and a single question answered from the chart £1.99 (one clarifying follow-up included). Prices are charged in local currency where supported. - Engine conventions: the Zi hour (23:00-01:00) is split at midnight (23:00-24:00 late Zi on the same date, 00:00-01:00 early Zi on the new day); lunar leap months follow the iztro convention; the year boundary follows the lunar new year. Lineages differ; the method page documents the choices. - Unknown birth hours are supported: noon is assumed, the chart is badged, and hour-dependent claims (Life Palace, Body Palace, decade ranges) are hedged rather than stated as fact. - Charts and readings are private to their owner; shared links show only a safe public card (chart name, zodiac, element, one-line verdict). ## Pages - [Calculator (English)](https://tinkei.ai/en): cast a chart from birth date, two-hour period and gender. - [How charts are computed](https://tinkei.ai/en/method): the engine, a worked example with checkable outputs, and the conventions used where schools differ. - [Couple compatibility](https://tinkei.ai/en/couple): two charts, a deterministic score from classical five-element and branch relations. - [Year ahead](https://tinkei.ai/en/year): the year pillar, yearly Life Palace and four transformations, with a 12-month map. - [The 14 major stars](https://tinkei.ai/en/stars): what each major star means, per-star pages with FAQ. - [The 12 palaces](https://tinkei.ai/en/palaces): what each life palace governs and how it is read. - [Classical chart patterns](https://tinkei.ai/en/patterns): the named 格局 configurations, formation rules and meanings. The same pages exist under /zh/, /zh-cn/, /ja/, /ko/, /vi/, /th/, /id/, /ms/ in their languages (star and pattern pages: en, zh, zh-cn). Full content corpus: https://tinkei.ai/llms-full.txt