1331/1024

Revision as of 15:00, 6 July 2022 by Aura (talk | contribs) (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''...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Interval information
Ratio 1331/1024
Factorization 2-10 × 113
Monzo [-10 0 0 0 3
Size in cents 453.9538¢
Name Axirabian ultramajor third
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.