9/5: Difference between revisions

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**Imported revision 300964998 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = just minor seventh, classic(al) minor seventh, ptolemaic minor seventh
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-12 14:29:20 UTC</tt>.<br>
| Color name = g7, gu 7th
: The original revision id was <tt>300964998</tt>.<br>
| Sound = jid_9_5_pluck_adu_dr220.mp3
: The revision comment was: <tt></tt><br>
}}
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
{{Wikipedia|Minor seventh}}
<h4>Original Wikitext content:</h4>
 
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">9/5 is a treated as a consonance in 9-limit just intonation, forming a part of such chords as the supermajor tetrad, 1-9/7-3/2-9/5, and the 1-6/5-3/2-9/5 minor seventh chord.</pre></div>
'''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.
<h4>Original HTML content:</h4>
 
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;9_5&lt;/title&gt;&lt;/head&gt;&lt;body&gt;9/5 is a treated as a consonance in 9-limit just intonation, forming a part of such chords as the supermajor tetrad, 1-9/7-3/2-9/5, and the 1-6/5-3/2-9/5 minor seventh chord.&lt;/body&gt;&lt;/html&gt;</pre></div>
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 ==
* [[10/9]] – its [[octave complement]]
* [[5/3]] – its [[twelfth complement]]
* [[Ed9/5]]
* [[Gallery of just intervals]]
 
== Notes ==
<references/>
 
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Over-5 intervals]]

Latest revision as of 00:00, 27 October 2024

Interval information
Ratio 9/5
Factorization 32 × 5-1
Monzo [0 2 -1
Size in cents 1017.596¢
Names just minor seventh,
classic(al) minor seventh,
ptolemaic 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, 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.

See also

Notes

  1. For reference, see 5-limit.