含七小三度 

含七小三度
转位含七大六度
名稱
別名下小三度
縮寫s3、sm3
大小
半音2 2/3
音程類別英语Interval class約2 1/2
纯律7:6[1]
音分
十二平均律300
二十四平均律250
纯律266.87
C音上的含七小三度播放.

在音樂中,含七小三度(英語:septimal minor third播放,亦稱下小三度(這是赫爾曼·馮·亥姆霍茲的叫法[2][3]),是比例為7:6的音程[4]。這音程折合267音分,比純律的小三度(6:5)小一個36:35的四分一音英语Septimal quarter tone二十四平均律中的五個四分一音(播放)折合250音分,和這音程相近。

含七小三度是泛音列中從第六個泛音到第七個的音程。十二平均律的音中,除了基音和第二泛音外,與其他音都不和諧[5]。這音程比6:5的三度更黑暗但亦討人喜歡。用這個三度而成的三和弦稱為含七小三和弦或下小三和弦播放

中庸全音律中,含七小三度以增二度的形式出現。

  1. ^ Haluška, Ján (2003). The Mathematical Theory of Tone Systems, p.xxiii. ISBN 0-8247-4714-3. Septimal minor third.
  2. ^ Hermann L. F Von Helmholtz (2007). On the Sensations of Tone, p.195. ISBN 1-60206-639-6.
  3. ^ Royal Society (Great Britain) (1880, digitized Feb 26, 2008). Proceedings of the Royal Society of London, Volume 30, p.531. Harvard University.
  4. ^ Partch, Harry (1979). Genesis of a Music, p.68. ISBN 0-306-80106-X.
  5. ^ Leta E. Miller, Fredric Lieberman (2006). Lou Harrison, p.72. ISBN 0-252-03120-2. "Among the most striking intervals are...the narrow 7:6 subminor third...The seventh harmonic...was problematic in all Western tuning systems. The interval it forms with the sixth harmonic [7:6 subminor third] is smaller than a minor third but larger than a major second. To cite a specific example: the seventh harmonic of C lies partway between A and B-flat. Sounding with the sixth harmonic (G), it forms a 7:6 subminor third of 267 cents--33 cents smaller than the equal-tempered minor third, itself 16 cents smaller than the pure 6:5 minor third. This 7:6 interval is thus nearly a quarter tone smaller than the pure minor third (33 + 16 = 49 cents)."



取材自維基百科 - 中文時事百科