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 (log2 nd) | 9.3443 |
| Weil height (log2 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
- 1ed26/25 - its equal multiplication
- Gallery of just intervals
- List of superparticular intervals