26-comma
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| Ratio | 2541865828329/2199023255552 |
| Factorization | 2-41 × 326 |
| Monzo | [-41 26⟩ |
| Size in cents | 250.83002¢ |
| Names | 26-comma, Pythagorean inverse triple-diminished second |
| Color name | Wa-26, L4w-2 |
| FJS name | [math]\text{ddd}{-2}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 82.209 |
| Weil height (log2 max(n, d)) | 82.4181 |
| Wilson height (sopfr(nd)) | 160 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.22806 bits |
| Comma size | large |
| open this interval in xen-calc | |
The 26-comma is a 3-limit semifourth that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two Pythagorean commas sharp of 9/8.
While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small 53-comma), it is tempered out in 26edo, because of that temperament's narrow fifths.
Used as an interval in its own right, it is the Pythagorean inverse triple-diminished second. It approximates intervals like 15/13, and is the simplest Pythagorean interval of this size. As such, it could also be known as the Pythagorean semifourth.