88/63: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 88/63
| Ratio = 88/63
| Monzo = 3 -2 0 -1 1
| Monzo = 3 -2 0 -1 1
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'''88/63''', the werckismic diminished fourth, is 441/440 (3.9 cents) below [[7/5]]. It is 0.01 cent sharp of the [[56edo]] diminished fourth of 27\56. It can arise in 11-limit scales as the interval from [[9/8]] to [[11/7]], or [[14/11]] to [[16/9]].
'''88/63''', the werckismic diminished fourth, is 441/440 (3.9 cents) below [[7/5]]. It is 0.01 cent sharp of the [[56edo]] diminished fourth of 27\56. It can arise in 11-limit scales as the interval from [[9/8]] to [[11/7]], or [[14/11]] to [[16/9]].


[[Category:Interval]]
[[Category:11-limit]]
 
{{todo|review interval name}}

Revision as of 05:10, 22 January 2022

Interval information
Ratio 88/63
Factorization 23 × 3-2 × 7-1 × 11
Monzo [3 -2 0 -1 1
Size in cents 578.582¢
Name werckismic diminished fourth
FJS name [math]\displaystyle{ \text{P4}^{11}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 12.4367
Weil norm (log2 max(n, d)) 12.9189
Wilson norm (sopfr(nd)) 30
Open this interval in xen-calc

88/63, the werckismic diminished fourth, is 441/440 (3.9 cents) below 7/5. It is 0.01 cent sharp of the 56edo diminished fourth of 27\56. It can arise in 11-limit scales as the interval from 9/8 to 11/7, or 14/11 to 16/9.