Sidereal comma: Difference between revisions

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Frostburn (talk | contribs)
Relate the comma to 6/5.
Frostburn (talk | contribs)
m Frostburn moved page User:Frostburn/Sidereal comma to Sidereal comma: Another person agreed on Discord that this a comma worth naming.
(No difference)

Revision as of 09:10, 10 January 2024

Interval information
Ratio 366/365
Subgroup monzo 2.3.5.61.73 [1 1 -1 1 -1
Size in cents 4.736621¢
Name Sidereal comma
FJS name [math]\displaystyle{ \text{P1}^{61}_{5,73} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 17.0275
Weil norm (log2 max(n, d)) 17.0314
Wilson norm (sopfr(nd)) 144
Comma size small
Open this interval in xen-calc

The sidereal comma (ratio: 366/365, monzo: [1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1) is a small 73-limit comma. It is the difference between 73/61 and 6/5.

Etymology

This comma was named by Frostburn in 2024 in reference to the year lasting (roughly) 366 sidereal days but only 365 solar days. Taking leap years and associated effects into account the ratio is actually closer to 9156/9131, but 366/365 is more recognizable numerically.