Exodia comma

Interval information

Ratio	281484423828125/281474976710656
Factorization	2-48 × 511 × 78
Monzo	[-48 0 11 8⟩
Size in cents	0.05810427¢
Names	exodia comma, exodiasma
Color name	L3z8y111, trila-quadbizo-aleyo unison
FJS name	[math]\displaystyle{ \text{AAAA1}^{5,5,5,5,5,5,5,5,5,5,5,7,7,7,7,7,7,7,7} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	96
Weil norm (log2 max(n, d))	96.0001
Wilson norm (sopfr(nd))	207
Comma size	unnoticeable
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The exodia comma or exodiasma is an unnoticeable 7-limit comma, with a ratio of 281484423828125/281474976710656, and a size of 0.058 cents. It is the amount by which a stack of eleven 5/4s and eight 7/4s exceeds ten octaves.

Temperaments

Tempering out this comma gives the rank-3 exodiasmic temperament in the full 7-limit, and the exodia temperament in its minimal prime subgroup of 2.5.7.

See also

• Unnoticeable comma