9/5: Difference between revisions

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Xenwolf (talk | contribs)
+cat seventh
Xenwolf (talk | contribs)
replaced cat: Ji -> Just interval; slightly reworked
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| Cents = 1017.5963
| Cents = 1017.5963
| Name = just minor seventh
| Name = just minor seventh
| Color name = g7, gu 7th
| Sound = jid_9_5_pluck_adu_dr220.mp3
| Sound = jid_9_5_pluck_adu_dr220.mp3
| Color name = g7, gu 7th
}}
}}


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* [https://en.wikipedia.org/wiki/Minor_seventh Minor seventh - Wikipedia]
* [https://en.wikipedia.org/wiki/Minor_seventh Minor seventh - Wikipedia]


[[Category:5-limit]]
[[Category:Interval]]
[[Category:Interval]]
[[Category:ji]]
[[Category:Ratio]]
[[Category:ratio]]
[[Category:Just interval]]
[[Category:Seventh]]
 
[[Category:todo:expand]]
[[Category:todo:expand]]
[[Category:todo:review interval name]]
[[Category:todo:review interval name]]
[[Category:5-limit]]
[[Category:Just]]
[[Category:Seventh]]

Revision as of 17:58, 29 October 2018

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 norm (log2 nd) 5.49185
Weil norm (log2 max(n, d)) 6.33985
Wilson norm (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