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 | '''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 == | == See also == | ||
Revision as of 14:44, 29 November 2020
| Interval information |
marvelous major third
[sound info]
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 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
- 135/112 – its fifth complement
- Gallery of just intervals