128/85

Interval information

Ratio	128/85
Factorization	27 × 5-1 × 17-1
Monzo	[7 0 -1 0 0 0 -1⟩
Size in cents	708.7309¢
Names	septendecimal subharmonic fifth, archagall fifth
Color name	17ug5, sugu 5th
FJS name	[math]\displaystyle{ \text{P5}_{5,17} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	13.4094
Weil height (log2 max(n, d))	14
Wilson height (sopfr(nd))	36
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~3.58692 bits
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128/85, the septendecimal subharmonic fifth or archagall fifth, is a 17-limit uprooted interval that comes rather close to 3/2, from which it differs by 256/255. Notably, 128/85 is one of two relatively simple intervals that can be used to generate a just version of something resembling a superpyth diatonic scale, the other being 85/64.

See also

• 85/64 – its octave complement
• Gallery of just intervals