2057/2048
Jump to navigation
Jump to search
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
open this interval in xen-calc
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.