16/9: Difference between revisions
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Added information about this interval's connections to the subharmonic series. |
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In [[3-limit]] [[just intonation]], '''16/9''' is the '''Pythagorean minor seventh''', at about 996.1 cents. It is equal to two [[perfect fourth]]s, or (4/3)×(4/3). It differs from the nearby [[5-limit]] minor seventh [[9/5]] (~1017.6 cents) by the syntonic comma of [[81/80]] (~21.5 cents), and the [[7-limit]] minor seventh [[7/4]] (~968.8 cents) by the septimal comma of [[64/63]] (~27.3 cents). | In [[3-limit]] [[just intonation]], '''16/9''' is the '''Pythagorean minor seventh''', at about 996.1 cents. It is equal to two [[perfect fourth]]s, or (4/3)×(4/3), and is thus the [[octave reduced]] form of the ninth [[subharmonic]]. It differs from the nearby [[5-limit]] minor seventh [[9/5]] (~1017.6 cents) by the syntonic comma of [[81/80]] (~21.5 cents), and the [[7-limit]] minor seventh [[7/4]] (~968.8 cents) by the septimal comma of [[64/63]] (~27.3 cents). | ||
== See also == | == See also == | ||
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[[Category:Minor seventh]] | [[Category:Minor seventh]] | ||
[[Category:Pythagorean]] | [[Category:Pythagorean]] | ||
[[Category:Subharmonic]] | |||
[[Category:Pages with internal sound examples]] | [[Category:Pages with internal sound examples]] | ||
Revision as of 22:35, 21 November 2021
| Interval information |
reduced subharmonic
[sound info]
In 3-limit just intonation, 16/9 is the Pythagorean minor seventh, at about 996.1 cents. It is equal to two perfect fourths, or (4/3)×(4/3), and is thus the octave reduced form of the ninth subharmonic. It differs from the nearby 5-limit minor seventh 9/5 (~1017.6 cents) by the syntonic comma of 81/80 (~21.5 cents), and the 7-limit minor seventh 7/4 (~968.8 cents) by the septimal comma of 64/63 (~27.3 cents).