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In music, septimal meantone temperament, also called ''standard septimal meantone'' or simply ''septimal meantone'', refers to the tempering of 7-limit musical intervals by a meantone temperament tuning in the range from fifths flattened by the amount of fifths for 12 equal temperament to those as flat as 19 equal temperament, with 31 equal temperament being a more or less optimal tuning for both the 5- and 7-limits. Meantone temperament represents a frequency ratio of approximately 5 by means of four fifths, so that the major third, for instance C-E, is obtained from two tones in succession. Septimal meantone represents the frequency ratio of 56 by ten fifths, so that the interval 7/4 is reached by five successive tones. Hence C-A, not C-B, represents a 7/4 interval in septimal meantone. : *A B *C G D A E B F G D A *C G D A E B F G D =B The meantone tuning with pure 5/4 intervals (quarter-comma meantone) has a fifth of size 696.58 cents . Similarly, the tuning with pure 7/4 intervals has a fifth of size 696.88 cents . 31 equal temperament has a fifth of size 696.77 cents , which does excellently for both of them, having the harmonic seventh only 1.1 cent lower, and the major third 1.2 cent higher than pure (while the fifth is 5.2 cent lower than pure). However, the difference is so small that it is mainly academic. == Theoretical properties == Septimal meantone tempers out not only the syntonic comma of 81/80, but also the septimal semicomma of 126/125, and the septimal kleisma of 225/224. Because the septimal semicomma is tempered out, a chord with intervals 6/5-6/5-6/5-7/6, spanning the octave, is a part of the septimal meantone tuning system. This chord might be called the ''septimal semicomma diminished seventh''. Similarly, because the septimal kleisma is tempered out, a chord with intervals of size 5/4-5/4-9/7 spans the octave; this might be called the ''septimal kleisma augmented triad'', and is likewise a characteristic feature of septimal meantone. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「septimal meantone temperament」の詳細全文を読む スポンサード リンク
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