8788/8575

The axshainisma or axshainic comma is an unnoticeable comma of the 13-limit with a ratio of 8788/8575 and a value of approximately 42.478 cents. It forms the difference by which a stack of two tridecimal wide fourths 35/26 falls short of the tridecimal submajor seventh 13/7.

Interval information

Ratio	8788/8575
Factorization	22 × 5-2 × 7-3 × 133
Monzo	[2 0 -2 -3 0 3⟩
Size in cents	42.47784 ¢
Names	axshainisma, axshainic comma
Color name	3o3r3gg1, trithoru-agugu unison
FJS name	[math]\displaystyle{ \text{dd1}^{13,13,13}_{5,5,7,7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	26.1672
Weil norm (log2 max(n, d))	26.2026
Wilson norm (sopfr(nd))	74
Comma size	medium
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Temperaments

Tempering out this comma leads to the rank-5 axshainic temperament.

Etymology

From axšaina which is Old Iranian name for the blue-black color and the Black Sea.