Trimyna comma
(Redirected from 50421/50000)
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| Ratio | 50421/50000 |
| Factorization | 2-4 × 3 × 5-5 × 75 |
| Monzo | [-4 1 -5 5⟩ |
| Size in cents | 14.515964¢ |
| Name | Trimyna comma |
| Color name | z5g54, quinzogu 4th |
| FJS name | [math]\text{dddd4}^{7,7,7,7,7}_{5,5,5,5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 31.2314 |
| Weil height (log2 max(n, d)) | 31.2435 |
| Wilson height (sopfr (nd)) | 71 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~2.88009 bits |
| Comma size | small |
| open this interval in xen-calc | |
50421/50000, the trimyna comma, is a small 7-limit comma. It is the amount by which a stack of five 10/7's falls short of 6/1, the sixth harmonic. Equivalently stated, it is the amount by which a stack of three 50/49's falls short of 15/14. Tempering it out leads to the trimyna temperament.