《宋书·志·卷十一》
现在向上生成黄钟时比其相应的实数少二千三百八十四。将黄钟相应的实数除以九，得一千九百六十八为律管长度的一分，这样就相当于未能回到九寸的律管长度而是短了一分多，那怎么可能还是宫音呢?
今上生不及黄钟实二千三百八十四，九约实一千九百六十八为一分，此则不周九分寸之律一分有奇，岂得还为宫乎？
When the ascending Huangzhong is generated, it is less than its corresponding natural number by two thousand three hundred eighty-four. If the natural number of Huangzhong is divided by nine, we get one thousand, nine hundred sixty-eight as the first fen of the scale length, so this is equivalent to failing to return to the scale length of nine cun but falling short by more than one fen, then how could it still be the gong (G) tone?