2057/2048: Difference between revisions

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The '''Blume comma''', with a ratio of '''2057/2048''' is a [[small comma|small]] [[17-limit]] comma with a size of roughly 7.59 [[cent]]s.  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 comma|unnoticeable]] [[248897/248832]].
The '''Blume comma''', with a ratio of '''2057/2048''' is a [[small comma|small]] [[17-limit]] comma with a size of roughly 7.59 [[cent]]s.  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 comma|unnoticeable]] [[248897/248832]].


[[Category:Commas with unknown etymology]]
[[Category:Commas named after composers]]
[[Category:Commas named after music theorists]]

Revision as of 04:21, 16 November 2024

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]\displaystyle{ \text{d1}^{11,11,17} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 22.0063
Weil norm (log2 max(n, d)) 22.0127
Wilson norm (sopfr(nd)) 61
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.