2057/2048
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Ratio | 2057/2048 |
Factorization | 2-11 × 112 × 17 |
Monzo | [-11 0 0 0 2 0 1⟩ |
Size in cents | 7.5912942¢ |
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 |
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.