56/45: Difference between revisions

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'''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 [[Arabic, Turkish, Persian|Turkish maqam music]] should range from 56/45 to 5/4.

== See also ==

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-'''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 [[Arabic, Turkish, Persian|Turkish maqam music]] should range from 56/45 to 5/4.
 == See also ==