512/495

Interval information

Ratio	512/495
Factorization	29 × 3-2 × 5-1 × 11-1
Monzo	[9 -2 -1 0 -1⟩
Size in cents	58.45834¢
Name	undecimal subminor second
Color name	s1ug2, salugu 2nd
FJS name	[math]\text{m2}_{5,11}[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	17.9513
Weil height (log2 max(n, d))	18
Wilson height (sopfr(nd))	40
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.40349 bits
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512/495, the undecimal subminor second, is an interval that can potentially be regarded as a type of relatively complex 11-limit quartertone on one hand, as it arises not only as the difference between 64/45 and 11/8, and the difference between 16/11 and 45/32, but also as the difference between 33/32 and 16/15 and as the difference between 64/33 and 15/8 – on the other hand, however, it only differs from 28/27 by 385/384. Unlike 33/32, which has functions more akin to a chroma, 512/495 has functions more akin to a diatonic interval.

See also

• 495/256 – its octave complement