9/5: Difference between revisions

+twelfth complement
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{{Wikipedia|Minor seventh}}
{{Wikipedia|Minor seventh}}


'''9/5''', the '''just''', '''classic(al)''', or '''ptolemaic minor seventh'''<ref>For reference, see [[5/4]]. </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.
'''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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* [[10/9]] – its [[octave complement]]
* [[10/9]] – its [[octave complement]]
* [[5/3]] – its [[twelfth complement]]
* [[5/3]] – its [[twelfth complement]]
* [[Ed9/5]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


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[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Minor seventh]]
[[Category:Over-5]]
[[Category:Over-5 intervals]]
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