Historisma
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Ratio | 257298363/256000000 |
Factorization | 2-14 × 37 × 5-6 × 76 |
Monzo | [-14 7 -6 6⟩ |
Size in cents | 8.7581617¢ |
Name | historisma |
Color name | latribizogu 4th, Lz6g64 |
FJS name | [math]\text{dddd4}^{7,7,7,7,7,7}_{5,5,5,5,5,5}[/math] |
Special properties | reduced |
Tenney height (log2 nd) | 55.8704 |
Weil height (log2 max(n, d)) | 55.8777 |
Wilson height (sopfr (nd)) | 121 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.71472 bits |
Comma size | small |
open this interval in xen-calc |
The historisma (ratio: 257298363/256000000, monzo: [-14 7 -6 6⟩) is a small 7-limit comma that is the difference between a stack of six septimal minor semitones (21/20) and a perfect fourth (4/3). Tempering it out leads to the 7-limit version of the history temperament.
The hypovishnuzma, the difference between six classic chromatic semitones (25/24) and 4/3, can be considered the historisma's 5-limit counterpart. 43edo tempers out both, as it equates 21/20 and 25/24.