2057/2048
(Redirected from Blume comma)
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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.