49/46: Difference between revisions

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Created page with "49/46 is a 23-limit (2.7.23 subgroup) interval of about 109 cents. This interval is very near 1 step of 11edo. A stack of 11 49/46s exceeds the octave by the comma {{Monzo|-12 22 -11}} (2.7.23 subgroup), about 3.2 cents. {{Infobox interval}}"
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Infobox to the top. Expand on its relation to Pyth intervals
 
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49/46 is a [[23-limit]] (2.7.23 subgroup) interval of about 109 cents.
{{Mathematical interest}}
{{Infobox interval}}


This interval is very near 1 step of [[11edo]]. A stack of 11 49/46s exceeds the octave by the comma {{Monzo|-12 22 -11}} (2.7.23 subgroup), about 3.2 cents.
'''49/46''' is a [[23-limit]] (2.7.23 subgroup) interval of about 109 [[cent]]s. It is considered a diminished third in both [[FJS]] and [[HEJI]].  


{{Infobox interval}}
This interval is very near one step of [[11edo]]. A stack of eleven 49/46's exceeds the octave by the comma 2.7.23 {{monzo| -12 22 -11 }}, about 3.2 cents.

Latest revision as of 10:02, 29 July 2026

This page presents a topic of primarily mathematical interest.

While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

Interval information
Ratio 49/46
Subgroup monzo 2.7.23 [-1 2 -1
Size in cents 109.3775¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{d3}^{7,7}_{23} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.1383
Weil norm (log2 max(n, d)) 11.2294
Wilson norm (sopfr(nd)) 39
Open this interval in xen-calc

49/46 is a 23-limit (2.7.23 subgroup) interval of about 109 cents. It is considered a diminished third in both FJS and HEJI.

This interval is very near one step of 11edo. A stack of eleven 49/46's exceeds the octave by the comma 2.7.23 [-12 22 -11, about 3.2 cents.