9/5: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = just minor seventh, classic(al) minor seventh, ptolemaic minor seventh | |||
| Name = just minor seventh, | |||
| Color name = g7, gu 7th | | Color name = g7, gu 7th | ||
| Sound = jid_9_5_pluck_adu_dr220.mp3 | | Sound = jid_9_5_pluck_adu_dr220.mp3 | ||
}} | }} | ||
{{Wikipedia|Minor seventh}} | {{Wikipedia|Minor seventh}} | ||
'''9/5''' is | '''9/5''', the '''just''', '''classic(al)''', or '''ptolemaic minor seventh'''<ref>For reference, see [[5-limit]]. </ref> is often treated as a consonance in [[5-limit]] [[just intonation]], forming a part of such chords such as the 1-6/5-3/2-9/5 minor seventh chord, and the supermajor tetrad, 1-9/7-3/2-9/5 in the 7-limit. | ||
Coincidentally, the ratio between a common "alternative" tuning frequency (A432) and the most common AC electrical frequency (60hz) is exactly 36/5, two octaves above 9/5. This is notably a more consonant interval than the 11/6 formed by the more common tuning frequency of A440, which may lead to a noticeable improvement in consonance when electrically powered instruments or amplifiers are interfered with by AC power. | Coincidentally, the ratio between a common "alternative" tuning frequency (A432) and the most common AC electrical frequency (60hz) is exactly 36/5, two octaves above 9/5. This is notably a more consonant interval than the 11/6 formed by the more common tuning frequency of A440, which may lead to a noticeable improvement in consonance when electrically powered instruments or amplifiers are interfered with by AC power. | ||
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== See also == | == See also == | ||
* [[10/9]] – its [[octave complement]] | * [[10/9]] – its [[octave complement]] | ||
* [[5/3]] – its [[twelfth complement]] | |||
* [[Ed9/5]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
== Notes == | |||
<references/> | |||
[[Category:Seventh]] | [[Category:Seventh]] | ||
[[Category:Minor seventh]] | [[Category:Minor seventh]] | ||
[[Category:Over-5]] | [[Category:Over-5 intervals]] | ||
Latest revision as of 00:00, 27 October 2024
| Interval information |
classic(al) minor seventh,
ptolemaic minor seventh
[sound info]
9/5, the just, classic(al), or ptolemaic minor seventh[1] is often treated as a consonance in 5-limit just intonation, forming a part of such chords such as the 1-6/5-3/2-9/5 minor seventh chord, and the supermajor tetrad, 1-9/7-3/2-9/5 in the 7-limit.
Coincidentally, the ratio between a common "alternative" tuning frequency (A432) and the most common AC electrical frequency (60hz) is exactly 36/5, two octaves above 9/5. This is notably a more consonant interval than the 11/6 formed by the more common tuning frequency of A440, which may lead to a noticeable improvement in consonance when electrically powered instruments or amplifiers are interfered with by AC power.