80/63: Difference between revisions

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Consolidate interval name
m Text replacement - "Category:Hemifamity" to "Category:Aberschismic"
 
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{{Infobox Interval
{{Infobox Interval
| Ratio = 80/63
| Name = hemifamity major third, 5/7-kleismic major third
| Monzo = 4 -2 1 -1
| Cents = 413.577806
| Name = hemifamity major third<br>5/7-kleismic major third
| Color name = ry3, ruyo 3rd
| Color name = ry3, ruyo 3rd
| FJS name = M3<sup>5</sup><sub>7</sub>
| Sound =
}}
}}


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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:7-limit]]
[[Category:Third]]
[[Category:Third]]
[[Category:Major third]]
[[Category:Major third]]
[[Category:Hemifamity]]
[[Category:Aberschismic]]

Latest revision as of 12:39, 6 June 2026

Interval information
Ratio 80/63
Factorization 24 × 3-2 × 5 × 7-1
Monzo [4 -2 1 -1
Size in cents 413.5778¢
Names hemifamity major third,
5/7-kleismic major third
Color name ry3, ruyo 3rd
FJS name [math]\displaystyle{ \text{M3}^{5}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 12.2992
Weil norm (log2 max(n, d)) 12.6439
Wilson norm (sopfr(nd)) 26
Open this interval in xen-calc

80/63, the hemifamity major third or the 5/7-kleismic major third, which is 5120/5103 (5.76 cents) sharp of 81/64 and 441/440 (3.9 cents) flat of 14/11 is the interval between 9/8 and 10/7, as well as 7/5 and 16/9. It is one of the ways approximate 11-limit harmony can appear in 7-limit scales.

Terminology

It could also be called werckismic major third if viewed as fudging from 14/11 instead. Wide major third, a less unique name, is attested in Scala.

See also