35/33: Difference between revisions

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'''35/33''' is an 11-limit semitone. As the difference between [[3/2]] and [[99/70]], both of which are approximated well by [[12edo]], it is very close to the 12edo semitone. It can also be found between [[35/32]] and [[33/32]], and is the mediant of [[18/17]] and [[17/16]].
'''35/33''' is an [[11-limit]] semitone. As the difference between [[3/2]] and [[99/70]], both of which are approximated well by [[12edo]], it is very close to the 12edo semitone. It can also be found between [[35/32]] and [[33/32]], and is the [[mediant]] of [[18/17]] and [[17/16]].


[[Category:Second]]
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]
{{todo|expand}}

Latest revision as of 07:53, 3 January 2025

Interval information
Ratio 35/33
Factorization 3-1 × 5 × 7 × 11-1
Monzo [0 -1 1 1 -1
Size in cents 101.8667¢
Name undecimal semitone
Color name 1uzy2, luzoyo 2nd
FJS name [math]\displaystyle{ \text{M2}^{5,7}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.1737
Weil height (log2 max(n, d)) 10.2586
Wilson height (sopfr(nd)) 26
Open this interval in xen-calc

35/33 is an 11-limit semitone. As the difference between 3/2 and 99/70, both of which are approximated well by 12edo, it is very close to the 12edo semitone. It can also be found between 35/32 and 33/32, and is the mediant of 18/17 and 17/16.