56/45: Difference between revisions

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According to [[Ozan Yarman]], the perde segah of Turkish [[maqam music]] should range from '''56/45''', which is flatter than [[5/4]] by the [[septimal kleisma]] (225/224), to 5/4. 56/45 is the interval between various 9-limit consonances: 5/4 and 14/9, 9/7 and 8/5, 9/8 and 7/5, and 10/7 and 16/9. [[Marvel]] tempering makes all of these intervals into major thirds like any other, and turns chords like 1-5/4-8/5 or 1-5/4-14/9 into [[Dyadic_chord|essentially tempered dyadic chords]]. The 56/45 third is [[6/5]] away from the marvelous fifth, [[112/75]], and may also be called the marvelous major third. It is a third of a cent flatter than the 6\19 major third of 19et.
According to [[Ozan Yarman]], the perde segah of Turkish [[maqam music]] should range from '''56/45''', which is flatter than [[5/4]] by the [[septimal kleisma]] (225/224), to 5/4. 56/45 is the interval between various 9-limit consonances: 5/4 and 14/9, 9/7 and 8/5, 9/8 and 7/5, and 10/7 and 16/9. [[Marvel]] tempering makes all of these intervals into major thirds like any other, and turns chords like 1-5/4-8/5 or 1-5/4-14/9 into [[Dyadic_chord|essentially tempered dyadic chords]]. The 56/45 third is [[6/5]] away from the marvelous fifth, [[112/75]], and may also be called the marvelous major third. It is a third of a cent flatter than the 6\19 major third of [[19et]].


''See also [[Gallery of just intervals]]
''See also [[Gallery of just intervals]]