34/21

Interval information

Ratio	34/21
Factorization	2 × 3-1 × 7-1 × 17
Monzo	[1 -1 0 -1 0 0 1⟩
Size in cents	834.1745¢
Name	septendecimal supraminor sixth
Color name	17or6, soru 6th
FJS name	[math]\displaystyle{ \text{m6}^{17}_{7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.47978
Weil height (log2 max(n, d))	10.1749
Wilson height (sopfr(nd))	29
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.22852 bits
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34/21 is the septendecimal supraminor sixth.

This interval is a ratio of two consecutive Fibonacci numbers, therefore it approximates the golden ratio. In this case, 34/21 is ~1.1 ¢ sharp of the golden ratio. Two fall short of 21/8 and three of them fall short of 17/4 by 9261/9248, which becomes particularly significant in Sephiroth temperament.

See also

• 21/17 – its octave complement
• Gallery of just intervals