4459/4455

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Interval information
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 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.