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 norm (log2 nd)	10.1319
Weil norm (log2 max(n, d))	10.1749
Wilson norm (sopfr(nd))	33
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.

Approximation

Edo approximations for 34/33 (51.68 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
2	0\2	0.00	-51.68	-8.61
21	1\21	57.14	+5.46	+9.56
22	1\22	54.55	+2.86	+5.25
23	1\23	52.17	+0.49	+0.94
24	1\24	50.00	-1.68	-3.36
25	1\25	48.00	-3.68	-7.67
45	2\45	53.33	+1.65	+6.19
46	2\46	52.17	+0.49	+1.88
47	2\47	51.06	-0.62	-2.42
48	2\48	50.00	-1.68	-6.73
68	3\68	52.94	+1.26	+7.13
69	3\69	52.17	+0.49	+2.83
70	3\70	51.43	-0.25	-1.48
71	3\71	50.70	-0.98	-5.79

See also

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