Historisma: Difference between revisions

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'''257298363/256000000''', the '''historisma''', is a [[5-limit]] comma. It is the difference between a stack of six septimal chromatic semitones ([[25/24]]) and a perfect fourth ([[4/3]]). Tempering it out leads to the 7-limit [[history (temperament)|History]] temperament, which has extensions in the 11- and 13-limit.
'''257298363/256000000''', the '''historisma''', is a [[5-limit]] comma. It is the difference between a stack of six septimal chromatic semitones ([[25/24]]) and a 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 25/24 chromatic semitones and 4/3, can be considered the historisma's [[5-limit]] counterpart. [[43edo]] tempers out both, as it tempers out [[126/125]], which equates 25/24 with 21/20.
The [[hypovishnuzma]], the difference between six 25/24 chromatic semitones and 4/3, can be considered the historisma's [[5-limit]] counterpart. [[43edo]] tempers out both, as it tempers out [[126/125]], which equates 25/24 with 21/20.

Revision as of 14:04, 23 April 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

257298363/256000000, the historisma, is a 5-limit comma. It is the difference between a stack of six septimal chromatic semitones (25/24) 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 25/24 chromatic semitones and 4/3, can be considered the historisma's 5-limit counterpart. 43edo tempers out both, as it tempers out 126/125, which equates 25/24 with 21/20.

See also