# 105/104

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 Ratio 105/104 Factorization 2-3 × 3 × 5 × 7 × 13-1 Monzo [-3 1 1 1 0 -1⟩ Size in cents 16.566959¢ Names animist comma,small tridecimal comma Color name 3uzy1, thuzoyo unison,Thuzoyo comma FJS name $\text{A1}^{5,7}_{13}$ Special properties superparticular,reduced Tenney height (log2 nd) 13.4147 Weil height (log2 max(n, d)) 13.4285 Wilson height (sopfr (nd)) 34 Harmonic entropy(Shannon, $\sqrt{nd}$) ~3.23913 bits Comma size small S-expression S14 × S15 open this interval in xen-calc

105/104, the animist comma, is a 13-limit small comma. It arises in several places in 13-limit just intonation, most notably as the difference between 15/8 and 13/7, between 8/5 and 21/13, between 8/7 and 15/13, and between 21/16 and 13/10 (and their octave complements, i.e. between 16/15 and 14/13, between 5/4 and 26/21, between 7/4 and 26/15, and between 32/21 and 20/13).

Being a triangle superparticular, it factors neatly into (196/195)(225/224).

## Temperaments

Tempering out this comma leads to a form of animist temperament. An obvious further temperament is to temper out 196/195 and/or 225/224, equating 15/14 with 14/13~16/15. This in the 2.3.5.7.13 subgroup is an extension of marvel and a restriction of tripod.