Hemfiness comma
Jump to navigation
Jump to search
| Ratio | 4096000/4084101 |
| Factorization | 215 × 3-5 × 53 × 7-5 |
| Monzo | [15 -5 3 -5⟩ |
| Size in cents | 5.0366049¢ |
| Name | Hemfiness comma |
| Color name | sr5y3-3, saquinru atriyo negative 3rd |
| FJS name | [math]\text{dd}{-3}^{5,5,5}_{7,7,7,7,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 43.9274 |
| Weil height (log2 max(n, d)) | 43.9316 |
| Wilson height (sopfr(nd)) | 95 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.43372 bits |
| Comma size | small |
| open this interval in xen-calc | |
4096000/4084101, the hemfiness comma, is a 7-limit small comma measuring about 5 cents. It is the amount by which three 5/4s and five 32/21s exceed four octaves. It was named by Xenllium in 2021. Tempering this comma out leads to the hemfiness temperaments.