56/45: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 56/45

| Monzo = 3 -2 -1 1

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| Sound = jid_56_45_pluck_adu_dr220.mp3

}}

'''56/45''', the '''septimal narrow major third''', or '''marvelous major third''', 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- with it also being [[6/5]] away from the marvelous fifth, [[112/75]]. [[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]]. It is a third of a cent flatter than the 6\19 major third of [[19edo]], however, it functionally doubles as a type of diminished fourth. According to [[Ozan Yarman]], the perde segah of [[Arabic, Turkish, Persian|Turkish maqam music]] should range from 56/45.  {{todo|clarify}}

'''56/45''', the '''septimal narrow major third''', or '''marvelous major third''', 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- with it also being [[6/5]] away from the marvelous fifth, [[112/75]]. [[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]]. It is a third of a cent flatter than the 6\19 major third of [[19edo]], however, it functionally doubles as a type of diminished fourth. According to [[Ozan Yarman]], the perde segah of ~~Turkish~~ [[maqam music]] should range from 56/45.

== See also ==

* [[45/28]] – its [[octave complement]]

* [[45/28]] – its octave complement

* [[135/112]] – its [[fifth complement]]

* [[135/112]] – its fifth complement

* [[Gallery of just intervals]]

[[Category:7-limit]]

~~[[Category:Just interval]]~~

[[Category:Third]]

[[Category:Major third]]

~~[[Category:19edo]]~~

[[Category:Marvel]]

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 {{Infobox Interval
-| Icon =
 | Ratio = 56/45
 | Monzo = 3 -2 -1 1
@@ Line 9: / Line 8: @@
 | Sound = jid_56_45_pluck_adu_dr220.mp3
 }}
+'''56/45''', the '''septimal narrow major third''', or '''marvelous major third''', 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- with it also being [[6/5]] away from the marvelous fifth, [[112/75]].  [[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]]. It is a third of a cent flatter than the 6\19 major third of [[19edo]], however, it functionally doubles as a type of diminished fourth.  According to [[Ozan Yarman]], the perde segah of [[Arabic, Turkish, Persian|Turkish maqam music]] should range from 56/45. <!-- from 56/45 to...? --> {{todo|clarify}}
-'''56/45''', the '''septimal narrow major third''', or '''marvelous major third''', 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- with it also being [[6/5]] away from the marvelous fifth, [[112/75]].  [[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]]. It is a third of a cent flatter than the 6\19 major third of [[19edo]], however, it functionally doubles as a type of diminished fourth.  According to [[Ozan Yarman]], the perde segah of Turkish [[maqam music]] should range from 56/45.
 == See also ==
+* [[45/28]] – its [[octave complement]]
-* [[45/28]] – its octave complement
+* [[135/112]] – its [[fifth complement]]
-* [[135/112]] – its fifth complement
 * [[Gallery of just intervals]]
 [[Category:7-limit]]
-[[Category:Just interval]]
 [[Category:Third]]
 [[Category:Major third]]
-[[Category:19edo]]
 [[Category:Marvel]]