56/45: Difference between revisions

Line 4:

| Monzo = 3 -2 -1 1

| Cents = 378.60219

| Name = ~~small~~ septimal major third, <br> marvelous major third

| Name = septimal narrow major third, <br> marvelous major third

| Color name =

| Sound = jid_56_45_pluck_adu_dr220.mp3

}}

'''56/45''', the '''~~small~~ septimal 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. [[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.

'''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. [[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.

== See also ==

@@ Line 4: / Line 4: @@
 | Monzo = 3 -2 -1 1
 | Cents = 378.60219
-| Name = small septimal major third, <br> marvelous major third
+| Name = septimal narrow major third, <br> marvelous major third
 | Color name =
 | Sound = jid_56_45_pluck_adu_dr220.mp3
 }}
-'''56/45''', the '''small septimal 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. [[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.
+'''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. [[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.
 == See also ==