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北魏(386-534)在公元439年统一北方。前篇博文已说北魏太武帝太延元年(公元435年)的墓穴符合尺长28.0~28.1 cm,《隋书•律历制》“审度”中后魏(即北魏)前尺和中尺皆 28.0 cm;而众多北齐(550-577) 石碑像适用尺长28.1 cm。《中国科学技术史•度量衡卷》所说“从北魏前期的25.6 厘米至后期增加至29.6 厘米”等(P287)不能成立。
下面再以美国 National Museum of Asian Art 藏石像,说明北魏后期及北齐尺长28.1 cm;数据精确到 1/16 inch 或 mm,测算的可靠性没有问题。
(A) 高七尺欠1.2 cm,宽二尺七欠0.3 cm
Period:515-525, probably 521
Material:Sandstone with traces of polychrome pigment
Dimension: H 195.5 x W 76.2 x D 38.1 cm (76 15/16 x 30 x 15 in)
https://asia.si.edu/explore-art-culture/collections/search/edanmdm:fsg_S1991.157/
(B) 高三尺七寸欠0.1 cm,宽一尺七寸欠0.4 cm
Period: ca. 523
Geography: Gongxian Cave Temples, Cave 1, Henan province, China
Material: Sandstone with traces of pigment
Dimension (overall): H 104.1 x W 47.4 x D 27.2 cm (41 x 18 11/16 x 10 11/16 in)
https://asia.si.edu/explore-art-culture/collections/search/edanmdm:fsg_F1952.15/
(C) 高二尺五寸欠0.3 cm,宽一尺二寸过0.5 cm;中心高一尺、宽八寸
Period: 521
Material:Sandstone
Dimension:H 70 x W 34.2 cm (27 9/16 x 13 7/16 in)
https://asia.si.edu/explore-art-culture/collections/search/edanmdm:fsg_F1969.5/
(D) 高四尺二寸整,宽二尺七寸欠0.2 cm,厚一尺七寸欠0.5 cm
Period: 550-577
Geography: northern Xiangtangshan, North Cave, Hebei province, China
Material: Limestone with traces of gesso and pigment
Dimension: H 118 x W 75.7 x D 47.3 cm (46 7/16 x 29 13/16 x 18 5/8 in)
https://asia.si.edu/explore-art-culture/collections/search/edanmdm:fsg_F1913.57/
(E) 高七寸整,宽三尺四寸欠0.2 cm,长六寸欠0.4 cm。
两端上方高五寸、宽三寸;下方总宽二尺八寸,九人各占三寸,两侧边合宽一寸;圆内径二寸准确。其他尺寸不再细说。
Lateral stretcher from the base of a funerary couch with Sogdian musicians and a dancer
Period: 550-577
Geography: Probably Ce Xian, Henan province, China
Material: Grey marble with traces of pigment
Dimension: H 19.7 x W 95.3 x D 16.5 cm (7 3/4 x 37 1/2 x 6 1/2 in)
https://asia.si.edu/explore-art-culture/collections/search/edanmdm:fsg_F1915.336/
形体较小者的尺寸不再解读;所见仅一座石像(链接如下)尺寸不甚规整,原因不明。北魏后期以及北齐使用尺长28.1 cm 完全没有疑问。北周的尺长容另文说明。
https://asia.si.edu/explore-art-culture/collections/search/edanmdm:fsg_F1968.45/
最后介绍的这座北齐(550-577)石像,石灰岩,可能来自河南;形体数据从网页复制
https://asia.si.edu/explore-art-culture/collections/search/edanmdm:fsg_F1923.15/
Dimension: H 151.3 x W 62.9 x D 31.3 cm (59 9/16 x 24 3/4 x 12 5/16 in)
肩高五尺四寸欠 0.4 cm。
下面几张照片为博主2016年8月9日下午所摄 ,七年已经过去了,却恍如昨日。
容我叹息一声而不说话。
注:文中数据以尺长28.1 cm 计算。若以尺长28.0 计算,偏差会减小。不过,成品尺寸略欠属于正常吧。
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