Historisma: Difference between revisions

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m Add etymology is redundant since it’s in commas missing etymology
 
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'''257298363/256000000''', the '''historisma''', is a [[7-limit]] comma that is the difference between a stack of six septimal chromatic semitones ([[21/20]]) and a perfect fourth ([[4/3]]). Tempering it out leads to the 7-limit version of the [[history (temperament)|History]] temperament.
The '''historisma''' ([[ratio]]: 257298363/256000000, {{monzo|legend=1| -14 7 -6 6 }}) is a [[small comma|small]] [[7-limit]] comma that is the difference between a stack of six [[21/20|septimal minor semitones (21/20)]] and a [[4/3|perfect fourth (4/3)]]. Tempering it out leads to the 7-limit version of the [[history (temperament)|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 tempers out [[126/125]], which 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.


== See also ==
[[Category:History (temperament)]]
* [[Gallery of just intervals]]
[[Category:Commas with unknown etymology]]
 
{{todo|expand}}

Latest revision as of 23:22, 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.