1331/1024: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 1331/1024 | Monzo = -10 0 0 0 3 | Cents = 453.95383 | Name = Axirabian ultramajor third | Color name = | FJS name = | Sound = }} '''1331/1024''..."
 
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{{Infobox Interval
{{Infobox Interval
| Ratio = 1331/1024
| Monzo = -10 0 0 0 3
| Cents = 453.95383
| Name = Axirabian ultramajor third
| Name = Axirabian ultramajor third
| Color name =  
| Color name = 1o<sup>3</sup>3, trilo 3rd
| FJS name =
| Sound =
}}
}}


'''1331/1024''', the '''Axirabian ultramajor third''', or '''octave-reduced 1331st harmonic''', is an [[11-limit]] interval that results from stacking three [[11/8]] fourths and [[Octave reduction|octave reducing]].  It is extremely close in size to both [[13/10]] and a stack of four [[apotome]]s, differing from the former by the [[6656/6655|jacobin comma]] and differing from the latter by the [[frameshift comma]].
'''1331/1024''', the '''Axirabian ultramajor third''', or '''octave-reduced 1331st harmonic''', is an [[11-limit]] interval that results from stacking three [[11/8]] fourths and [[Octave reduction|octave reducing]].  It is extremely close in size to both [[13/10]] and a stack of four [[apotome]]s, differing from the former by the [[6656/6655|jacobin comma]] and differing from the latter by the [[frameshift comma]].
== See also ==
* [[2048/1331]] – its [[octave complement]]
* [[4096/3993]] – its [[fourth complement]]
* [[Gallery of just intervals]]

Latest revision as of 02:15, 29 December 2022

Interval information
Ratio 1331/1024
Factorization 2-10 × 113
Monzo [-10 0 0 0 3
Size in cents 453.9538¢
Name Axirabian ultramajor third
Color name 1o33, trilo 3rd
FJS name [math]\displaystyle{ \text{m3}^{11,11,11} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 20.3783
Weil height (log2 max(n, d)) 20.7566
Wilson height (sopfr(nd)) 53
Open this interval in xen-calc

1331/1024, the Axirabian ultramajor third, or octave-reduced 1331st harmonic, is an 11-limit interval that results from stacking three 11/8 fourths and octave reducing. It is extremely close in size to both 13/10 and a stack of four apotomes, differing from the former by the jacobin comma and differing from the latter by the frameshift comma.

See also