5767168/5767125

Interval information

Ratio	5767168/5767125
Factorization	219 × 3-1 × 5-3 × 7-1 × 11 × 13-3
Monzo	[19 -1 -3 -1 1 -3⟩
Size in cents	0.01290813¢
Name	insanisma
Color name	satrithu-alorutriguma, s3u^31org^3M
FJS name	[math]\displaystyle{ \text{P1}^{11}_{5,5,5,7,13,13,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	44.9189
Weil norm (log2 max(n, d))	44.9189
Wilson norm (sopfr(nd))	113
Comma size	unnoticeable
S-expression	S64/S65
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5767168/5767125, the insanisma is a 13-limit interval, one of the smallest 13-limit commas. It is an ultraparticular, the difference between 4096/4095 and 4225/4224, or S64/S65 S-expressed.

As an ultraparticular, it is the difference between 66/63 = 22/21 and (65/64)^3. It also splits the olympia in three and the ibnsinma in two 4096/4095~4225/4224.

Temperaments

It is trivially tempered out in olympic, as 4096/4095 and 4225/4224 are also tempered out there. Thus, any temperament of olympic also tempers it out. See here for a compendium of temperaments and edos that temper out this comma due to being olympian.

Other non-olympian edos that temper out the insanisma by patent val, but not either of S64 and S65 include 35, 40, 49, and some hyperfine edos like 3395 and 8539.