248/243: Difference between revisions

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{{Infobox Interval|Comma=yes}}
{{Infobox Interval|Name=tricesimoprimal comma|Color name=s31o1, sathiwo unison|Comma=yes}}
'''248/243''' is a [[31-limit]] medium-sized [[comma]].
'''248/243''' is a [[31-limit]] medium-sized [[comma]]. This interval is significant in the [[Functional Just System]] as the formal comma to translate a Pythagorean interval to a nearby tricesimoprimal (31-limit) interval. Consequently, [[31/16]] is represented as a major seventh. In the [[Helmholtz-Ellis notation]], however, that role is taken by [[32/31]], so 31/16 is represented as an octave.
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Latest revision as of 15:26, 26 April 2025

Interval information
Ratio 248/243
Subgroup monzo 2.3.31 [3 -5 1
Size in cents 35.26057¢
Name tricesimoprimal comma
Color name s31o1, sathiwo unison
FJS name [math]\displaystyle{ \text{P1}^{31} }[/math]
Special properties reduced
Tenney height (log2 nd) 15.879
Weil height (log2 max(n, d)) 15.9084
Wilson height (sopfr(nd)) 52
Comma size medium
Open this interval in xen-calc

248/243 is a 31-limit medium-sized comma. This interval is significant in the Functional Just System as the formal comma to translate a Pythagorean interval to a nearby tricesimoprimal (31-limit) interval. Consequently, 31/16 is represented as a major seventh. In the Helmholtz-Ellis notation, however, that role is taken by 32/31, so 31/16 is represented as an octave.