Sidereal comma
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Ratio | 366/365 |
Subgroup monzo | 2.3.5.61.73 [1 1 -1 1 -1⟩ |
Size in cents | 4.7366214¢ |
Name | Sidereal comma |
Color name | 73u61og1 |
FJS name | [math]\text{P1}^{61}_{5,73}[/math] |
Special properties | superparticular, reduced |
Tenney height (log2 nd) | 17.0275 |
Weil height (log2 max(n, d)) | 17.0314 |
Wilson height (sopfr(nd)) | 144 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.40538 bits |
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.