736/729
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| Ratio | 736/729 |
| Subgroup monzo | 2.3.23 [5 -6 1⟩ |
| Size in cents | 16.544342¢ |
| Name | 23-limit Tenney/Cage comma (HEJI) |
| Color name | s23o2, satwetho 2nd |
| FJS name | [math]\text{P1}^{23}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 19.0333 |
| Weil height (log2 max(n, d)) | 19.0471 |
| Wilson height (sopfr (nd)) | 51 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.36804 bits |
| Comma size | small |
| open this interval in xen-calc | |
736/729, the 23-limit Tenney/Cage comma, is a 2.3.23 subgroup comma. It is the amount by which 23/16 (the 23rd harmonic) exceeds the Pythagorean augemented fourth (729/512). It is significant in Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby 23-limit (vicesimotertial) interval.