4459/4455

Revision as of 10:35, 7 May 2024 by Tristanbay (talk | contribs) (Added another pair of superparticular factors)

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.

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 norm (log2 nd) 24.2437
Weil norm (log2 max(n, d)) 24.245
Wilson norm (sopfr(nd)) 62
Comma size unnoticeable
Open this interval in xen-calc

Etymology

This comma was named by Tristan Bay in early May 2024 after himself.