100/81: Difference between revisions

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'''100/81''', the '''grave major third''', is [[81/80]], a syntonic comma flat of [[5/4]] and [[325/324]] sharp of [[16/13]], as well as being just [[1701/1700]] flat of interval [[21/17]]. It is obtained by stacking two [[10/9]] small whole tones.
'''100/81''', the '''grave major third''', is [[81/80]], a syntonic comma flat of [[5/4]] and [[325/324]] sharp of [[16/13]], as well as being just [[1701/1700]] flat of the interval [[21/17]]. It is obtained by stacking two [[10/9]] small whole tones.


[[Category:5-limit]]
[[Category:5-limit]]

Revision as of 09:07, 7 March 2021

Interval information
Ratio 100/81
Factorization 22 × 3-4 × 52
Monzo [2 -4 2
Size in cents 364.8074¢
Name grave major third
FJS name [math]\displaystyle{ \text{M3}^{25} }[/math]
Special properties reduced
Tenney height (log2 nd) 12.9837
Weil height (log2 max(n, d)) 13.2877
Wilson height (sopfr(nd)) 26
Open this interval in xen-calc

100/81, the grave major third, is 81/80, a syntonic comma flat of 5/4 and 325/324 sharp of 16/13, as well as being just 1701/1700 flat of the interval 21/17. It is obtained by stacking two 10/9 small whole tones.