2057/2048

Interval information

Ratio	2057/2048
Factorization	2-11 × 112 × 17
Monzo	[-11 0 0 0 2 0 1⟩
Size in cents	7.591294¢
Name	Blume comma
Color name	17o1oo1, Sololo 1sn
FJS name	[math]\text{d1}^{11,11,17}[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	22.0063
Weil height (log2 max(n, d))	22.0127
Wilson height (sopfr(nd))	61
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.72098 bits
Comma size	small
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The Blume comma, with a ratio of 2057/2048 is a small 17-limit comma with a size of roughly 7.59 cents. It is the interval separating 121/64 from 32/17, as well as the interval separating 18/17 from 1089/1024. It is separated from the nearby 243/242 by the unnoticeable 248897/248832.