34/33

Interval information

Ratio	34/33
Factorization	2 × 3-1 × 11-1 × 17
Monzo	[1 -1 0 0 -1 0 1⟩
Size in cents	51.68247¢
Name	large septendecimal quartertone
Color name	17o1u2, solu 2nd
FJS name	[math]\displaystyle{ \text{m2}^{17}_{11} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	10.1319
Weil height (log2 max(n, d))	10.1749
Wilson height (sopfr(nd))	33
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.45853 bits
Comma size	medium
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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

• 33/17 – its octave complement
• List of superparticular intervals