80/63: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Name = hemifamity major third, 5/7-kleismic major third
| Ratio = 80/63
| Color name = ry3, ruyo 3rd
| Monzo = 4 -2 1 -1
| Cents = 413.577806
| Name =
| Color name =  
| FJS name =
| Sound =
}}
}}


'''80/63''', which is 441/440 (3.9 cents) flat of [[14/11]] and 5120/5103 (5.76 cents) sharp of [[81/64]] 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.
'''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.  


[[Category:Interval]]
== 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 [https://www.huygens-fokker.org/docs/intervals.html Scala].
 
== See also ==
* [[Gallery of just intervals]]
 
[[Category:Third]]
[[Category:Major third]]
[[Category:Hemifamity]]

Latest revision as of 17:00, 25 October 2022

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 height (log2 nd) 12.2992
Weil height (log2 max(n, d)) 12.6439
Wilson height (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