Exodia comma

Revision as of 10:58, 12 January 2026 by Xenllium (talk | contribs) (Created page with "{{Infobox interval | Ratio = 281484423828125/281474976710656 | Name = exodia comma, exodiasma | Color name = L<sup>3</sup>z<sup>8</sup>y<sup>11</sup>1, trila-quadbizo-aleyo unison | Comma = yes }} 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 oc...")
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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.

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
Open this interval in xen-calc

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