Historisma
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Ratio
257298363/256000000
Factorization
2-14 × 37 × 5-6 × 76
Monzo
[-14 7 -6 6⟩
Size in cents
8.758162¢
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{nd}[/math])
~1.88488 bits
Comma size
small
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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.