| E C A F♯ D |
Now, upon the basis of an augmented triad a tune may be played above it provided that it be based upon the six-tone scale, and a fugue may be written, the re-entry of the subject of which may be made upon any note of the scale, and the harmony will be complete. To associate this scale with the ordinary diatonic scale let a major 9th be taken, e.g.: one may conventionally flatten or sharpen the fifth of this (A becoming ♯ or ♭ as desired): if both the flattened and sharpened fifths be taken in the one chord this chord is arrived at:
| E C B♭ A♭ F♯ D | (A♯ enharmonically altered to B♭) |
which is composed of the notes of the aforesaid scale (1), and Debussy thereby proves his case to belong to the “primitifs.” It will be noticed that chords of the 9th in sequence and in all forms occur in Debussy’s music as well as the augmented triad harmonics, where the melodic line is based on the tonal scale. This, in all likelihood, is the outcome of Debussy’s instinctive feeling for the association of his so-called discovery with the ordinary scale. The “secret,” it may be added, comes not from Annamese music as has been frequently stated, but probably from Russia, where certainly it was used before Debussy’s rise.
(R. H. L.)
DECADE (from Gr. δέκα, ten), a group or series containing ten members, particularly a period of ten years. In the new calendar made at the time of the French Revolution in 1793, a decade of ten days took the place of the week. The word is also used of the divisions containing ten books or parts into which the history of Livy was divided.
DECAEN, CHARLES MATHIEU ISIDORE, Count (1769-1832), French soldier, was born at Caen on the 13th of April 1769. He was educated for the bar, but soon showed a strong preference for the military career, in which he quickly made his way during the wars of the French Revolution under Kléber, Marceau and Jourdan, in the Rhenish campaigns. In 1799 he became general of division, and contributed to the success of the famous attack by General Richepanse on the Austrian flank and rear at Hohenlinden (December 1800). Becoming known for his Anglophobe tendencies, he was selected by Napoleon early in the year 1802 for the command of the French possessions in the East Indies. The secret instructions issued to him bade him prepare the way, so that in due course (September 1804 was hinted at as the suitable time) everything might be ready for an attack on the British power in India. Napoleon held out to him the hope of acquiring lasting glory in that enterprise. Decaen set sail with Admiral Linois early in March 1803 with a small expeditionary force, touched at the Cape of Good Hope (then in Dutch hands), and noted the condition of the fortifications there. On arriving at Pondicherry he found matters in a very critical condition. Though the outbreak of war in Europe had not yet been heard of, the hostile preparations adopted by the Marquis Wellesley caused Decaen to withdraw promptly to the Isle of France (Mauritius), where, during eight years, he sought to harass British trade and prepare for plans of alliance with the Mahratta princes of India. They all came to naught. Linois was captured by a British squadron, and ultimately, in 1811, Mauritius itself fell to the Union Jack. Returning to France on honourable terms, Decaen received the command of the French troops in Catalonia. The rest of his career calls for no special mention. He died of the cholera in 1832.