100/81: Difference between revisions

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m +FJS name; better show the ratio instead of "above one cent"
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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 100/81
| Monzo = 2 -4 2
| Cents = 364.80742
| Name = grave major third
| Name = grave major third
| Color Name = yy3, yoyo 3rd
| Color name = yy3, yoyo 3rd
| FJS name = M3<sup>25</sup>
| Sound =
}}
}}


'''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 (classical) '''grave major third''', is a syntonic comma [[81/80]] 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:Interval]]
[[Category:Ratio]]
[[Category:Third]]
[[Category:Third]]
[[Category:Submajor third]]
[[Category:Submajor third]]

Latest revision as of 02:30, 14 April 2025

Interval information
Ratio 100/81
Factorization 22 × 3-4 × 52
Monzo [2 -4 2
Size in cents 364.8074¢
Name grave major third
Color name yy3, yoyo 3rd
FJS name [math]\displaystyle{ \text{M3}^{5,5} }[/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 (classical) grave major third, is a syntonic comma 81/80 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.