4459/4455

Interval information

Ratio	4459/4455
Factorization	3-4 × 5-1 × 73 × 11-1 × 13
Monzo	[0 -4 -1 3 -1 1⟩
Size in cents	1.553721¢
Name	tristanisma
Color name	tholutrizo-agu 3rd, 3o1uz3g3, tholutrizo-agu comma
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~1.22079 bits
Comma size	unnoticeable
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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.