140/81: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 140/81 | Monzo = 2 -4 1 1 | Cents = 947.3196 | Name = septimal semidiminished seventh, <br>septimal inframinor seventh | Color name = zy7, zoyo 7t..."
 
Xenwolf (talk | contribs)
m added FJS name
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| Monzo = 2 -4 1 1
| Monzo = 2 -4 1 1
| Cents = 947.3196
| Cents = 947.3196
| Name = septimal semidiminished seventh, <br>septimal inframinor seventh
| Name = septimal semidiminished seventh, <br> septimal inframinor seventh
| Color name = zy7, zoyo 7th
| Color name = zy7, zoyo 7th
| FJS name = m7<sup>35</sup>
| Sound =  
| Sound =  
}}
}}
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== See also ==
== See also ==


* [[81/70]], its octave complement
* [[81/70]] its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]



Revision as of 20:17, 27 September 2020

Interval information
Ratio 140/81
Factorization 22 × 3-4 × 5 × 7
Monzo [2 -4 1 1
Size in cents 947.3196¢
Names septimal semidiminished seventh,
septimal inframinor seventh
Color name zy7, zoyo 7th
FJS name [math]\displaystyle{ \text{m7}^{35} }[/math]
Special properties reduced
Tenney norm (log2 nd) 13.4691
Weil norm (log2 max(n, d)) 14.2586
Wilson norm (sopfr(nd)) 28
Open this interval in xen-calc

140/81, the septimal semidiminished seventh or septimal inframinor seventh is a 7-limit interseptimal ratio of about 947 cents. It is sharp of a supermajor sixth 12/7 by a sensamagic comma 245/243, and flat of a minor seventh 16/9 by a septimal quartertone 36/35.

It is also sharp of a major sixth 5/3 by a subminor second 28/27. For this fact it is useful in the Canovian chord and provides the function of a voice leading down to the major sixth.

The interval is so perfectly approximated by 19-edo, with an error of 0.05 cents. There are a number of edos that do this equally well, 171-edo to name one. The first edo that does this better than 19-edo with patent val is 660-edo.

See also