Pontigailimma

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]\text{d1}_{5,5,5,5,5,7,7,13}[/math]
Special properties	reduced
Tenney height (log2 nd)	41.8496
Weil height (log2 max(n, d))	41.8496
Wilson height (sopfr(nd))	93
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.19983 bits
Comma size	unnoticeable
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The pontigailimma is a 13-limit (2.3.5.7.13 subgroup) unnoticeable comma with a ratio of 1990656/1990625 (0.027 ¢). It appears as the difference between several common comma pairs: the schismina 4096/4095 and the ragisma 4375/4374, the kleisma 15625/15552 and the huntma 640/637, the leprechaun comma 4225/4224 and the jacobin comma 6656/6655, the marveltwin comma 325/324 and the porwell comma 6144/6125, and the squbema 729/728 and the horwell comma 65625/65536. 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 7/4s and a stack of 16/13 above five 6/5s. It is tempered out in hemikleismic, vulture, pontiac, abigail, ennealimmal, and trillium 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.

See also

• Unnoticeable comma
• Pontiac
• Abigail
• Ennealimmal
• 13-limit intervals
• Catasma
• Schismina
• Ennealimma