34/33

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Interval information
Ratio 34/33
Factorization 2 × 3-1 × 11-1 × 17
Monzo [1 -1 0 0 -1 0 1
Size in cents 51.682466¢
Name large septendecimal quartertone
Color name 17o1u2, solu 2nd
FJS name [math]\text{m2}^{17}_{11}[/math]
Special properties superparticular,
reduced
Tenney height (log2 n⋅d) 10.1319
Weil height (max(n, d)) 34
Benedetti height (n⋅d) 1122
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.77843 bits
open this interval in xen-calc

34/33, the large septendecimal quartertone, is a 17-limit superparticular ratio. It arises as the difference between 17/16 and 33/32. In temperaments, it may be seen tempered together with 33/32 through 1089/1088, or with 35/34 through 1156/1155.

See also