27/14: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 27/14
| Name = septimal major seventh, supermajor seventh
| Monzo = -1 3 0 -1
| Cents = 1137.0391
| Name = septimal major seventh, <br>supermajor seventh
| Color name = r7, ru 7th
| Color name = r7, ru 7th
| FJS name = M7<sub>7</sub>
| Sound = jid_27_14_pluck_adu_dr220.mp3
| Sound = jid_27_14_pluck_adu_dr220.mp3
}}
}}


In [[7-limit]] [[just intonation]], '''27/14''' is the '''septimal major seventh''' or '''supermajor seventh'''. At about 1137 cents, it sounds much more tense than its classic counterpart [[15/8]] and thus provides the function of a strong leading tone added to the traditional harmony.  
In [[7-limit]] [[just intonation]], '''27/14''' is the '''septimal (super)major seventh'''. At about 1137 cents, it sounds much more tense than its classic counterpart [[15/8]] and thus provides the function of a strong leading tone added to the traditional harmony.  


It is very accurately approximated by [[19edo]] (18\19), and hence the [[enneadecal]] temperament.  
It is very accurately approximated by [[19edo]] (18\19), and hence the [[enneadecal]] temperament.  
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== See also ==
== See also ==
* [[28/27]] – its [[octave complement]]
* [[28/27]] – its [[octave complement]]
* [[14/9]] – its [[twelfth complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:7-limit]]
[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Supermajor seventh]]
[[Category:Supermajor seventh]]

Latest revision as of 17:00, 14 April 2025

Interval information
Ratio 27/14
Factorization 2-1 × 33 × 7-1
Monzo [-1 3 0 -1
Size in cents 1137.039¢
Names septimal major seventh,
supermajor seventh
Color name r7, ru 7th
FJS name [math]\displaystyle{ \text{M7}_{7} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.56224
Weil height (log2 max(n, d)) 9.50978
Wilson height (sopfr(nd)) 18

[sound info]
Open this interval in xen-calc

In 7-limit just intonation, 27/14 is the septimal (super)major seventh. At about 1137 cents, it sounds much more tense than its classic counterpart 15/8 and thus provides the function of a strong leading tone added to the traditional harmony.

It is very accurately approximated by 19edo (18\19), and hence the enneadecal temperament.

See also