Bronzisma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Francium (talk | contribs)
m Added color name
ArrowHead294 (talk | contribs)
No edit summary
Line 6: Line 6:
}}
}}


The '''bronzisma''', 2097152/2083725, is a 7-limit comma.  
The '''bronzisma''', 2097152/2083725, is a 7-limit comma. It is the difference between a classic chromatic semitone of [[25/24]] and three [[septimal comma]]s.


== Temperaments ==
== Temperaments ==

Revision as of 19:13, 30 March 2024

Interval information
Ratio 2097152/2083725
Factorization 221 × 3-5 × 5-2 × 7-3
Monzo [21 -5 -2 -3
Size in cents 11.11985¢
Name bronzisma
Color name sr3gg1, satriru-agugu unison
FJS name [math]\displaystyle{ \text{d1}_{5,5,7,7,7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 41.9907
Weil height (log2 max(n, d)) 42
Wilson height (sopfr(nd)) 88
Comma size small
Open this interval in xen-calc

The bronzisma, 2097152/2083725, is a 7-limit comma. It is the difference between a classic chromatic semitone of 25/24 and three septimal commas.

Temperaments

Tempering out this comma results in the rank-3 bronzismic temperament in the 7-limit. Together with the septimal semicomma it produces amigo temperament, and together with 3136/3125 it produces decipentic temperament.

It is also tempered to one step of 118edo in the 7-limit temperament oganesson, although it is not the most precise mapping (compared to 13-limit 169/168 and 17-limit 170/169), as there are directly roughly 108 bronzismas in the octave.

Etymology

This comma was named by Xenllium in 2021.