9/5: Difference between revisions

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| Name = just minor seventh
| Name = just minor seventh
| Color name = g7, gu 7th
| Color name = g7, gu 7th
| FJS name = m7<sub>5</sub>
| Sound = jid_9_5_pluck_adu_dr220.mp3
| Sound = jid_9_5_pluck_adu_dr220.mp3
}}
}}


'''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.


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.


== See also ==
== See also ==
* [[10/9]] – its [[octave complement]]
* [[Gallery of Just Intervals]]
* [[Gallery of Just Intervals]]
* [https://en.wikipedia.org/wiki/Minor_seventh Minor seventh - Wikipedia]
* [[Wikipedia:Minor_seventh|Minor seventh - Wikipedia]]


[[Category:5-limit]]
[[Category:5-limit]]

Revision as of 13:05, 19 September 2020

Interval information
Ratio 9/5
Factorization 32 × 5-1
Monzo [0 2 -1
Size in cents 1017.596¢
Name just 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

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