56/45: Difference between revisions
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| Monzo = 3 -2 -1 1 | | Monzo = 3 -2 -1 1 | ||
| Cents = 378.60219 | | Cents = 378.60219 | ||
| Name = marvelous major third | | Name = small septimal major third, <br> marvelous major third | ||
| Color name = | | Color name = | ||
| Sound = jid_56_45_pluck_adu_dr220.mp3 | | Sound = jid_56_45_pluck_adu_dr220.mp3 | ||
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'''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. | |||
== See also == | |||
* [[45/28]] -- its octave complement | |||
* [[135/112]] -- its fifth complement | |||
* [[Gallery of just intervals]] | |||
[[Category:7-limit]] | [[Category:7-limit]] | ||
Revision as of 03:30, 29 November 2020
| Interval information |
marvelous major third
[sound info]
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 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
- 45/28 -- its octave complement
- 135/112 -- its fifth complement
- Gallery of just intervals