Hypovishnuzma
| Ratio | 254803968/244140625 |
| Factorization | 220 × 35 × 5-12 |
| Monzo | [20 5 -12⟩ |
| Size in cents | 74.010438¢ |
| Name | hypovishnuzma |
| Color name | saquadtrigu 4th, sg124 |
| FJS name | [math]\text{6d4}_{5,5,5,5,5,5,5,5,5,5,5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 55.7879 |
| Weil height (log2 max(n, d)) | 55.8496 |
| Wilson height (sopfr (nd)) | 115 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.70632 bits |
| Comma size | medium |
| open this interval in xen-calc | |
The hypovishnuzma (ratio: 254803968/244140625, monzo: [20 5 -12⟩) is a medium 5-limit comma, which is the difference between a stack of six classic chromatic semitones (25/24) and a perfect fourth (4/3), that is, (4/3)/(25/24)6, or simply the octave-reduced difference between five 3/2 perfect fifths and twelve 5/4 major thirds. This comma is larger than 25/24 itself, but if one more 25/24 is removed from the hypovishnuzma, we get the regular vishnuzma.
Notable edos that temper the hypovishnuzma include 15, 28, 43, 58, 73, and 101. These are the only edos that temper out this comma whose patent vals are unenfactored. Although 129edo inherits its patent val from 43edo (thus enfactored), 129 is the last integer patent val to temper out the hypovishnuzma, and curiously, also the last integer patent val to temper out 81/80, the syntonic comma.