16/9: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Pythagorean minor seventh | | Name = Pythagorean minor seventh | ||
| Color name = w7, wa 7th | | Color name = w7, wa 7th | ||
| Sound = jid_16_9_pluck_adu_dr220.mp3 | | Sound = jid_16_9_pluck_adu_dr220.mp3 | ||
}} | }} | ||
{{Wikipedia|Minor seventh}} | {{Wikipedia|Minor seventh}} | ||
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). | In [[3-limit]] [[just intonation]], '''16/9''' is the '''Pythagorean minor seventh''', at about 996.1 cents. It is equal to two [[4/3|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 == | ||
* [[9/8]] – its [[octave complement]] | * [[9/8]] – its [[octave complement]] | ||
* [[Ed16/9]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Seventh]] | [[Category:Seventh]] | ||
[[Category:Minor seventh]] | [[Category:Minor seventh]] | ||
Latest revision as of 18:50, 30 June 2025
| 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).