80/63: Difference between revisions

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Arseniiv (talk | contribs)
m infoboxified
Nolovoto (talk | contribs)
m added 7-limit to the categories. Added Interval name given by the list of just intervals to the interval information.
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| Monzo = 4 -2 1 -1
| Monzo = 4 -2 1 -1
| Cents = 413.577806
| Cents = 413.577806
| Name =  
| Name =werckismic sharp major third
| Color name =  
| Color name =  
| FJS name =  
| FJS name =  
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[[Category:Interval]]
[[Category:Interval]]
[[Category:7-limit]]

Revision as of 16:16, 6 March 2021

Interval information
Ratio 80/63
Factorization 24 × 3-2 × 5 × 7-1
Monzo [4 -2 1 -1
Size in cents 413.5778¢
Name werckismic sharp major third
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, 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.