5491/5488

Interval information

Ratio	5491/5488
Factorization	2-4 × 7-3 × 172 × 19
Monzo	[-4 0 0 -3 0 0 2 1⟩
Size in cents	0.9461157¢
Name	Supraminisma
FJS name	[math]\displaystyle{ \text{d1}^{17,17,19}_{7,7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	24.8449
Weil norm (log2 max(n, d))	24.8457
Wilson norm (sopfr(nd))	82
Comma size	unnoticeable
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5491/5488, the supraminisma, is a 19-limit unnoticeable comma measuring about 0.95 cents in size. It is the difference between two 17/14 supraminor thirds and a 28/19 narrow fifth. In terms of other commas, it is the difference between 323/322 and 392/391.

Temperaments

Tempering out this comma in the full 19-limit leads to the rank-7 supraminismic temperament, and tempering out in the 2.7.17.19-subgroup leads to the supraminic temperament. The most notable temperament tempering out this comma is the 2.17/7.19/7-subgroup supramin temperament, which approximates the 14:17:19 triad with low complexity and high accuracy, and is tuned well by 25edo.

Etymology

This comma was named by Overthink in 2026 together with the supramin temperament, referring to the fact that supramin is generated by a supraminor third.