56/45: Difference between revisions

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'''56/45'''
{{Infobox Interval
|3 -2 -1 1>
| Icon =
| Ratio = 56/45
| Monzo = 3 -2 -1 1
| Cents = 378.60219
| Name = marvelous major third (?)
| Color name =
| Sound = jid_56_45_pluck_adu_dr220.mp3
}}


378.6022 cents
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.


[[File:jid_56_45_pluck_adu_dr220.mp3]] [[:File:jid_56_45_pluck_adu_dr220.mp3|sound sample]]
''See also [[Gallery of just intervals]]


According to [[Ozan_Yarman|Ozan Yarman]], the perde segah of Turkish maqam music should range from '''56/45''', which is flatter than [[5/4|5/4]] by the [[septimal_kleisma|septimal kleisma]] of [[225/224|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|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|6/5]] away from the marvelous fifth, [[112/75|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.
[[Category:7-limit]]
[[Category:Just interval]]
[[Category:Third]]
[[Category:19edo]]