# 26/25

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 Ratio 26/25 Factorization 2 × 5-2 × 13 Monzo [1 0 -2 0 0 1⟩ Size in cents 67.900234¢ Name large tridecimal third tone Color name 3ogg2, thogugu 2nd FJS name $\text{d2}^{13}_{5,5}$ Special properties superparticular,reduced Tenney height (log2 nd) 9.3443 Weil height (log2 max(n, d)) 9.40088 Wilson height (sopfr (nd)) 25 Harmonic entropy(Shannon, $\sqrt{nd}$) ~4.36071 bits Comma size medium https://en.xen.wiki/w/File:Jid_26_25_pluck_adu_dr220.mp3[sound info] open this interval in xen-calc

In 13-limit just intonation, 26/25, the large tridecimal third tone appears as the difference between the 26th and 25th harmonics. Thus it makes the difference between 13/8 and 25/16 (a stack of two 5/4's). If it is treated as a comma, then 5/4 and 13/10 both collapse to a Neogothic-flavored major third in between them representing half of 13/8. It measures about 67.9¢.

## Approximation

26/25 is very well approximated in 53edo, being only 0.024 ¢ flat of 3\53.