律學
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樂律學(英語:Musical temperament)音樂學的重要組成部分,研究樂律產生,定量,測量,數學表達及相關自然屬性的交叉學科。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。
範疇及爭議
律學是聲學、數學和音樂學的交叉學科,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」[1]。
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。
參見
參考資料
- ^ 沈冬. 宋代樂議研究——以《宋史.樂志》為中心 (頁面存檔備份,存於網際網路檔案館). 2021-01-31[2021-06-25]
- 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) (頁面存檔備份,存於網際網路檔案館)
- 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)
- Biddle, Horace Peters. The Musical Scale. Oliver Ditson & Company. 1867.
外部連結
- 律學的奇妙[失效連結]
- 中國古代科技成果:律學領先世界兩千多年[永久失效連結]
- 律學新說(明-朱載堉) 在線閱讀
- 用數學的觀點論述研究律學的三種途徑[永久失效連結]
- 三分損益法與五度相生律之比較 (頁面存檔備份,存於網際網路檔案館)
- 三分損益法和三分損益律猜想 (頁面存檔備份,存於網際網路檔案館)
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