85/64

Interval information

Ratio	85/64
Factorization	2-6 × 5 × 17
Monzo	[-6 0 1 0 0 0 1⟩
Size in cents	491.2691¢
Name	septendecimal fourth
FJS name	[math]\displaystyle{ \text{P4}^{5,17} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	12.4094
Weil height (log2 max(n, d))	12.8188
Wilson height (sopfr(nd))	34
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85/64, the septendecimal fourth, is a 17-limit interval that closely approximates 4/3, from which it differs by 256/255. Because it differs from 15/8 by 24/17, this interval is an easy, relatively low-prime substitute for 4/3 in scales where one desires to simultaneously maintain Rothenberg propriety and ensure that all notes in the scale suggest the Tonic as the virtual fundamental when played simultaneously.

See also

• 128/85 – its octave complement
• 96/85 – its fifth complement
• Gallery of just intervals