Rainy comma
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Ratio | 2100875/2097152 |
Factorization | 2^{-21} × 5^{3} × 7^{5} |
Monzo | [-21 0 3 5⟩ |
Size in cents | 3.0706739¢ |
Name | rainy comma |
Color name | Quinzotriyo comma |
FJS name | [math]\text{M2}^{5,5,5,7,7,7,7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 42.0026 |
Weil height (log_{2} max(n, d)) | 42.0051 |
Wilson height (sopfr (nd)) | 92 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.2858 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
2100875/2097152, the rainy comma, is a 7-limit unnoticeable comma of about 3.07 ¢. It is the amount by which three 5/4s fall short of five 8/7s, i.e. the amount by which 16807/16384 exceeds 128/125. It is tempered out by 31edo and 171edo. It factors into (2401/2400)(65625/65536).
Temperaments
See rainy.