26/25

Interval information

Ratio	26/25
Factorization	2 × 5-2 × 13
Monzo	[1 0 -2 0 0 1⟩
Size in cents	67.90023¢
Name	large tridecimal third tone
Color name	3ogg2, thogugu 2nd
FJS name	[math]\displaystyle{ \text{d2}^{13}_{5,5} }[/math]
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, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.36071 bits
Comma size	medium
[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 as 3\53 (+0.024 ¢), and in 28edt as 1\28edt (+0.027 ¢). Its equal multiplication - 1ed26/25 - is effectively the same thing as 28edt.

See also

• 25/13 - its octave complement
• 27/26 - the small tridecimal third tone
• Gallery of just intervals
• List of superparticular intervals