7/6: Difference between revisions

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Name unified with 9/7
Line 4: Line 4:
| Monzo = -1 -1 0 1
| Monzo = -1 -1 0 1
| Cents = 266.87091
| Cents = 266.87091
| Name = septimal minor third
| Name = subminor third, <br>septimal minor third
| Color name = z3, zo 3rd
| Color name = z3, zo 3rd
| Sound = jid_7_6_pluck_adu_dr220.mp3
| Sound = jid_7_6_pluck_adu_dr220.mp3
Line 15: Line 15:
* [[12/7]] - its [[inverse interval]]
* [[12/7]] - its [[inverse interval]]
* [[7/3]] - the interval plus one [[octave]] sounds even more [[consonant]]
* [[7/3]] - the interval plus one [[octave]] sounds even more [[consonant]]
* [http://en.wikipedia.org/wiki/Septimal_minor_third http://en.wikipedia.org/wiki/Septimal_minor_third]
* [[Wikipedia:Septimal_minor_third|Septimal minor third - Wikipedia]]


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Interval]]
[[Category:Interval ratio]]
[[Category:Just interval]]
[[Category:Just interval]]
[[Category:Third]]
[[Category:Minor third]]
[[Category:Minor third]]
[[Category:Ratio]]
[[Category:Subminor third]]
[[Category:Superparticular]]
[[Category:Superparticular]]
[[Category:Third]]
[[Category:todo:expand]]
[[Category:todo:expand]]

Revision as of 13:48, 14 August 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 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