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
| Interval information |
tholutrizo-agu comma
(Shannon, [math]\sqrt{nd}[/math])
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.