4459/4455
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| Ratio | 4459/4455 |
| Factorization | 3-4 × 5-1 × 73 × 11-1 × 13 |
| Monzo | [0 -4 -1 3 -1 1⟩ |
| Size in cents | 1.5537215¢ |
| Name | tristanisma |
| Color name | tholutrizo-agu 3rd, 3o1uz3g3, tholutrizo-agu comma |
| FJS name | [math]\text{dd3}^{7,7,7,13}_{5,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 24.2437 |
| Weil height (log2 max(n, d)) | 24.245 |
| Wilson height (sopfr (nd)) | 62 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.22079 bits |
| Comma size | unnoticeable |
| open this interval in xen-calc | |
4459/4455, the tristanisma, is 13-limit no-twos unnoticeable comma measuring roughly a cent and a half. It is the difference between the Odd-particulars 245/243 and 275/273. It factors into the superparticular ratio pairs (2080/2079)(2401/2400) or (1001/1000)(9801/9800). Tempering it out and adding the octave back in yields the rank-5 tristanismic temperament, which is supported by edos including 9, 12, 22, 27, 41, 72, 130, 190, 198, 270, and 311.
Etymology
This comma was named by Tristan Bay in early May 2024 after himself.