律学

樂律學（）音乐学的重要组成部分，研究樂律产生，定量，测量，数学表达及相关自然属性的交叉学科。以字義來說，西方所謂的「律學」（temperament）其實是為了解決畢式律所產生的不和諧八度所產生的「調整」，本身並沒有「規律」的意義。

 范畴及争议 

律学是声学、数学和音乐学的交叉学科，在中國由於史料不易取得，在《宋史・樂制三》中記載宋神宗言：「樂律絕學」沈冬. 宋代樂議研究——以《宋史．樂志》為中心 . 2021-01-31[2021-06-25]。

西方圍繞著樂律學的爭議，從中世紀開始一直到現代仍然沒有停止。

 参见 
十二平均律
十二律
五度相生律
纯律

参考资料

Music: a Mathematical Offering (mathematical perspective with two chapters on temperament) by Dave Benson
Tuning And Temperament A Historical Survey (1951) by J. Murray Barbour
Essay on Musical Temperament (part 2) by Prof. Fisher (Yale College)
"Temperament" from A supplement to Mr. Chambers's cyclopædia (1753) 
Theory and practice of just intonation (1850) by Thomas Perronet Thompson
Elements of musical composition: comprehending the rules of thorough bass and the theory of tuning (1812) by William Crotch
An essay on temperament (1832) by J. Jousse
Essay on musical intervals, harmonics, and the temperament of the musical scale, &c (1835) by Wesley Stoker B. Woolhouse
Harmonics, or The philosophy of musical sounds (1759) by Robert Smith (1689-1768)
Modern organ tuning : the how and why? by Hermann Smith (1824-1910)
Piano Tuning: A Simple and Accurate Method for Amateurs by Jerry Cree Fischer
The organ viewed from within : a practical handbook on the mechanism of the organ, with a chapter on tuning by John Broadhouse
Construction, Tuning and Care of the Piano-forte (1887) by Edward Quincy Norton
Regulation and Repair of Piano and Player Mechanism, Together with Tuning as Science and Art (1909) by William Braid White
Modern piano tuning and allied arts (1917) by William Braid White (1878-1959)

外部链接
 律学的奇妙
 中国古代科技成果：律学领先世界两千多年
 律学新说（明-朱载堉） 在线阅读
 用数学的观点论述研究律学的三种途径
 三分损益法与五度相生律之比较 
 三分损益法和三分损益律猜想 

Category:音樂理論