{"name":"Zi Wei Dou Shu main-star and BaZi day-master frequency distribution","description":"Frequency of each 紫微斗数 main star in the Self palace (命宫), of each exact main-star combination, of a starless Self palace (命无主星), and of each BaZi day master (日主) — measured by running a seeded uniform sample of birth moments through a real chart engine.","version":"2026-06-10","license":"https://creativecommons.org/licenses/by/4.0/","licenseName":"CC BY 4.0","attribution":"14 Main Stars (https://www.14mainstars.com)","documentation":"https://www.14mainstars.com/data/star-rarity","methodology":{"sampleSize":24000,"birthYearRange":[1950,2010],"prngSeed":20260610,"generatedAt":"2026-06-10","reproducible":true,"generator":"scripts/gen-rarity.mjs","notes":["Birth years uniform in the stated range; month and day uniform within each month's real length; hour 0-23 and minute 0-59 uniform, which keeps the 12 时辰 uniform after true-solar-time correction.","Gender alternates male/female. It does not affect Self-palace stars; it is varied for rigor.","Birthplace is held constant (Kuala Lumpur). A fixed longitude only shifts solar time by a constant, which the uniform hour and minute sampling absorbs.","mainStars counts a multi-star Self palace toward EACH star it holds, so a two-star palace is counted twice and these percentages sum to more than 100.","combinations counts each palace once, toward its exact set, and EXCLUDES the starless palaces. Add the starless percentage to the combination total to reach 100."]},"mainStars":[{"slug":"ziwei","zh":"紫微","pinyin":"Zi Wei","en":"The Emperor","percent":8.53},{"slug":"tianji","zh":"天机","pinyin":"Tian Ji","en":"The Strategist","percent":8.61},{"slug":"taiyang","zh":"太阳","pinyin":"Tai Yang","en":"The Sun","percent":8.33},{"slug":"wuqu","zh":"武曲","pinyin":"Wu Qu","en":"The Iron Wealth","percent":8.02},{"slug":"tiantong","zh":"天同","pinyin":"Tian Tong","en":"The Blessing","percent":8.22},{"slug":"lianzhen","zh":"廉贞","pinyin":"Lian Zhen","en":"The Mystic","percent":8.39},{"slug":"tianfu","zh":"天府","pinyin":"Tian Fu","en":"The Treasury","percent":8.21},{"slug":"taiyin","zh":"太阴","pinyin":"Tai Yin","en":"The Moon","percent":8.22},{"slug":"tanlang","zh":"贪狼","pinyin":"Tan Lang","en":"The Wolf","percent":8.42},{"slug":"jumen","zh":"巨门","pinyin":"Ju Men","en":"The Voice","percent":8.49},{"slug":"tianxiang","zh":"天相","pinyin":"Tian Xiang","en":"The Minister","percent":8.13},{"slug":"tianliang","zh":"天梁","pinyin":"Tian Liang","en":"The Elder","percent":8.29},{"slug":"qisha","zh":"七杀","pinyin":"Qi Sha","en":"The General","percent":8.65},{"slug":"pojun","zh":"破军","pinyin":"Po Jun","en":"The Disruptor","percent":8.46}],"starless":{"slug":"starless","zh":"命无主星","en":"The Borrowed-Star Self","percent":16.15},"combinations":[{"set":"巨门","stars":["巨门"],"percent":4.4},{"set":"七杀","stars":["七杀"],"percent":4.39},{"set":"天同","stars":["天同"],"percent":4.35},{"set":"破军","stars":["破军"],"percent":4.29},{"set":"贪狼","stars":["贪狼"],"percent":4.26},{"set":"太阳","stars":["太阳"],"percent":4.26},{"set":"天机","stars":["天机"],"percent":4.17},{"set":"天梁","stars":["天梁"],"percent":4.13},{"set":"天相","stars":["天相"],"percent":4.13},{"set":"天府","stars":["天府"],"percent":4.08},{"set":"太阴","stars":["太阴"],"percent":4.07},{"set":"紫微+天府","stars":["紫微","天府"],"percent":1.64},{"set":"巨门+天机","stars":["巨门","天机"],"percent":1.54},{"set":"廉贞","stars":["廉贞"],"percent":1.5},{"set":"紫微+七杀","stars":["紫微","七杀"],"percent":1.5},{"set":"天机+太阴","stars":["天机","太阴"],"percent":1.46},{"set":"武曲","stars":["武曲"],"percent":1.46},{"set":"廉贞+七杀","stars":["廉贞","七杀"],"percent":1.45},{"set":"廉贞+天相","stars":["廉贞","天相"],"percent":1.44},{"set":"天梁+天机","stars":["天梁","天机"],"percent":1.44},{"set":"廉贞+破军","stars":["廉贞","破军"],"percent":1.43},{"set":"紫微+贪狼","stars":["紫微","贪狼"],"percent":1.42},{"set":"天梁+天同","stars":["天梁","天同"],"percent":1.41},{"set":"廉贞+贪狼","stars":["廉贞","贪狼"],"percent":1.41},{"set":"太阳+太阴","stars":["太阳","太阴"],"percent":1.4},{"set":"紫微+破军","stars":["紫微","破军"],"percent":1.39},{"set":"巨门+太阳","stars":["巨门","太阳"],"percent":1.37},{"set":"武曲+破军","stars":["武曲","破军"],"percent":1.36},{"set":"天府+武曲","stars":["天府","武曲"],"percent":1.35},{"set":"紫微+天相","stars":["紫微","天相"],"percent":1.35},{"set":"武曲+贪狼","stars":["武曲","贪狼"],"percent":1.33},{"set":"天梁+太阳","stars":["天梁","太阳"],"percent":1.31},{"set":"武曲+七杀","stars":["武曲","七杀"],"percent":1.3},{"set":"太阴+天同","stars":["太阴","天同"],"percent":1.29},{"set":"紫微","stars":["紫微"],"percent":1.25},{"set":"武曲+天相","stars":["武曲","天相"],"percent":1.22},{"set":"巨门+天同","stars":["巨门","天同"],"percent":1.18},{"set":"天府+廉贞","stars":["天府","廉贞"],"percent":1.15}],"baziDayMasters":[{"slug":"jia","stem":"甲","pinyin":"Jiǎ","element":"木","polarity":"阳","percent":10.22},{"slug":"yi","stem":"乙","pinyin":"Yǐ","element":"木","polarity":"阴","percent":10.07},{"slug":"bing","stem":"丙","pinyin":"Bǐng","element":"火","polarity":"阳","percent":9.82},{"slug":"ding","stem":"丁","pinyin":"Dīng","element":"火","polarity":"阴","percent":10.15},{"slug":"wu","stem":"戊","pinyin":"Wù","element":"土","polarity":"阳","percent":10},{"slug":"ji","stem":"己","pinyin":"Jǐ","element":"土","polarity":"阴","percent":9.92},{"slug":"geng","stem":"庚","pinyin":"Gēng","element":"金","polarity":"阳","percent":9.79},{"slug":"xin","stem":"辛","pinyin":"Xīn","element":"金","polarity":"阴","percent":9.74},{"slug":"ren","stem":"壬","pinyin":"Rén","element":"水","polarity":"阳","percent":10.17},{"slug":"gui","stem":"癸","pinyin":"Guǐ","element":"水","polarity":"阴","percent":10.12}],"disclaimer":"A frequency distribution of a traditional symbolic system. It describes how often each configuration occurs in the calendar, and makes no claim about people who hold it."}