First page of "The Levee Song," later known as "I've Been Working On The Railroad," as published in Carmina Princetonia: The Princeton Song Book (1898)
Melodic upper leading-tone, the subdominant/degree four (E♭) as auxiliary to the mediant/degree three (D) (in C this would be F and E♮). From the opening to Brahms Op. 56.
Melodic upper leading-tone, the subdominant/degree four (E♭) as auxiliary to the mediant/degree three (D) (in C this would be F and E♮). From the opening to Brahms Op. 56.
5 25 {\displaystyle {\sqrt[{25}]{5}}} = 5:11/25 = 111.45 cents. Interval used in Stockhausen's Studie II, a compound just major third (5/1) divided into 25 equal parts.