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{nd}[/math]) |
~3.23528 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.
Sagittal notation
In the Sagittal system, this comma (possibly tempered) is represented by the sagittal and is called the 23 comma, or 23C for short, because the simplest interval it notates is 23/1 (equiv. 23/16), as for example in F-B . The downward version is called 1/23C or 23C down and is represented by .