Bronzisma

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]\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
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~2.26813 bits
Comma size	small
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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.