7/6: Difference between revisions

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| Name = subminor third, <br>septimal minor third
| Name = subminor third, <br>septimal minor third
| Color name = z3, zo 3rd
| Color name = z3, zo 3rd
| FJS name = m3<sup>7</sup>
| Sound = jid_7_6_pluck_adu_dr220.mp3
| Sound = jid_7_6_pluck_adu_dr220.mp3
}}
}}


In [[7-limit]] Just Intonation, '''7/6''' is the '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents).
In [[7-limit]] [[Just Intonation]], '''7/6''' is the '''subminor third''' or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents).


== See also ==
== See also ==


* [[Gallery of Just Intervals]]
* [[Gallery of Just Intervals]]
* [[12/7]] - its [[inverse interval]]
* [[12/7]] its [[octave complement]]
* [[9/7]] -- its [[fifth complement]]
* [[9/7]] its [[fifth complement]]
* [[7/3]] - the interval plus one [[octave]] sounds even more [[consonant]]
* [[7/3]] the interval plus one [[octave]] sounds even more [[consonant]]
* [[Wikipedia:Septimal_minor_third|Septimal minor third - Wikipedia]]
* [[Wikipedia:Septimal_minor_third|Septimal minor third - Wikipedia]]



Revision as of 14:02, 19 September 2020

Interval information
Ratio 7/6
Factorization 2-1 × 3-1 × 7
Monzo [-1 -1 0 1
Size in cents 266.8709¢
Names subminor third,
septimal minor third
Color name z3, zo 3rd
FJS name [math]\displaystyle{ \text{m3}^{7} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 5.39232
Weil norm (log2 max(n, d)) 5.61471
Wilson norm (sopfr(nd)) 12

[sound info]
Open this interval in xen-calc

In 7-limit Just Intonation, 7/6 is the subminor third or septimal minor third. At about 267 cents, it is smaller than both the 5-limit minor third (6/5, ~316 cents) and the familiar 12edo minor third (300 cents).

See also