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septimal whole tone
In music, the septimal whole tone, septimal major second,〔Partch, Harry (1979). ''Genesis of a Music'', p.68. ISBN 0-306-80106-X.〕 or supermajor second〔Royal Society (Great Britain) (1880, digitized Feb 26, 2008). ''Proceedings of the Royal Society of London, Volume 30'', p.531. Harvard University.〕〔Society of Arts (Great Britain) (1877, digitized Nov 19, 2009). ''Journal of the Society of Arts, Volume 25'', p.670. The Society.〕 is the musical interval exactly or approximately equal to an 8/7 ratio of frequencies.〔Andrew Horner, Lydia Ayres (2002). ''Cooking with Csound: Woodwind and Brass Recipes'', p.131. ISBN 0-89579-507-8. "Super-Major Second".〕 It is about 231 cents wide in just intonation.〔Leta E. Miller, Fredric Lieberman (2006). ''Lou Harrison'', p.72. ISBN 0-252-03120-2.〕 Although 24 equal temperament does not match this interval particularly well, its nearest representation is at 250 cents, approximately 19 cents sharp. The septimal whole tone may be derived from the harmonic series as the interval between the seventh and eighth harmonics and the term ''septimal'' refers to the fact that it utilizes the seventh harmonic.〔 It can also be thought of as the octave inversion of the 7/4 interval, the harmonic seventh.
No close approximation to this interval exists in the standard 12 equal temperament used in most modern western music.
26 equal temperament matches this interval almost perfectly with an error of only 0.4 cents, but at the cost of the significant flatness of its major thirds and fifths. 31 equal temperament, which has much more accurate fifths and major thirds, approximates 8/7 with a slightly higher error of 1.1 cents.
==Sources==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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