9/5: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 9/5
| Ratio = 9/5
| Monzo = 0 2 -1
| Monzo = 0 2 -1
| Cents = 1017.5963
| Cents = 1017.5963
| Name = just minor seventh
| Name = just minor seventh, <br>classic minor seventh
| Color name = g7, gu 7th
| Color name = g7, gu 7th
| FJS name = m7<sub>5</sub>
| FJS name = m7<sub>5</sub>
| Sound = jid_9_5_pluck_adu_dr220.mp3
| Sound = jid_9_5_pluck_adu_dr220.mp3
}}
}}
{{Wikipedia|Minor seventh}}


'''9/5''' is a 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''' is a 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.
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== See also ==
== See also ==
* [[10/9]] – its [[octave complement]]
* [[10/9]] – its [[octave complement]]
* [[Gallery of Just Intervals]]
* [[Gallery of just intervals]]
* [[Wikipedia:Minor_seventh|Minor seventh - Wikipedia]]


[[Category:5-limit]]
[[Category:5-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Just interval]]
[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Minor seventh]]
[[Category:Over-5]]
[[Category:Over-5]]


[[Category:todo:expand]]
{{todo|expand|review interval name}}
[[Category:todo:review interval name]]

Revision as of 04:59, 22 January 2022

Interval information
Ratio 9/5
Factorization 32 × 5-1
Monzo [0 2 -1
Size in cents 1017.596¢
Names just minor seventh,
classic minor seventh
Color name g7, gu 7th
FJS name [math]\displaystyle{ \text{m7}_{5} }[/math]
Special properties reduced
Tenney height (log2 nd) 5.49185
Weil height (log2 max(n, d)) 6.33985
Wilson height (sopfr(nd)) 11

[sound info]
Open this interval in xen-calc
English Wikipedia has an article on:

9/5 is a 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.

See also