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 | [math]\text{d2}^{13}_{5,5}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 9.3443 |
Weil height (log_{2} max(n, d)) | 9.40088 |
Wilson height (sopfr (nd)) | 25 |
Harmonic entropy (Shannon, [math]\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, being only 0.024 ¢ flat of 3\53.
See also
- 25/13 - its octave complement
- 27/26 - the small tridecimal third tone
- Gallery of just intervals
- List of superparticular intervals