Pontigailimma

The pontigailimma is an unnoticeable 13-limit (2.3.5.7.13 subgroup) comma with a ratio of 1990656/1990625 (0.027 ¢). It appears as the difference between several comma pairs:

• 4096/4095 and 4375/4374
• 15625/15552 and 640/637
• 325/324 and 6144/6125
• 729/728 and 65625/65536
• 3125/3072 and 648/637
• Amity comma and 4194304/4179357

Interval information

Ratio	1990656/1990625
Factorization	213 × 35 × 5-5 × 7-2 × 13-1
Monzo	[13 5 -5 -2 0 -1⟩
Size in cents	0.0269603¢
Names	pontigailimma, 55⋅72⋅13 atom
Color name	3urrg51, thururuquingu comma
FJS name	[math]\displaystyle{ \text{d1}_{5,5,5,5,5,7,7,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	41.8496
Weil norm (log2 max(n, d))	41.8496
Wilson norm (sopfr(nd))	93
Comma size	unnoticeable
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Alternatively, it is the amount by which 27/25 exceeds a stack of 25/24, 49/48, and 65/64, or the difference between two 7/4's and a stack of 16/13 above five 6/5s. It is tempered out in hemikleismic, vulture, pontiac, abigail, ennealimmal, and alphatrillium temperaments, as well as by 46, 50, 53, 68, 103, 121, 171, 217, 224, 270, 441, 494, 643, 814, 935, 3125, 3395, 6079, 8539, 11664, and 16808edo.

Its name potentially comes from ponti [pontiac] + gai [abigail] + limma [from Greek λεῖμμα, the remnant]. Thus, it is the tiny remnant that is tempered out in pontiac and abigail.