1331/1024

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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.24302 bits
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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

• 2048/1331 – its octave complement
• 4096/3993 – its fourth complement
• Gallery of just intervals