Historisma: Difference between revisions

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The [[hypovishnuzma]], the difference between six [[25/24|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.
The [[hypovishnuzma]], the difference between six [[25/24|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.


{{todo|expand}}
{{todo|expand|add etymology}}
[[Category:History (temperament)]]
[[Category:History (temperament)]]
[[Category:Commas with unknown etymology]]

Revision as of 12:43, 3 November 2024

Interval information
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]\displaystyle{ \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
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.