76/45

Revision as of 10:40, 9 August 2025 by Xenllium (talk | contribs) (Created page with "{{Infobox interval | Name = Eratosthenes' major sixth | Color name = 19og7, nogu 7th }} '''76/45''' is a 19-limit interval, 907.3 cents in size. In the Functional Just System and Helmholtz-Ellis notation, it is a ''diminished seventh'', obtained by adding 81/80 and 513/512 to the Pythagorean diminished seventh, but it may be called the '''Eratosthenes' major sixth''' as it is sharper than the Pythagorean major sixth by t...")
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76/45 is a 19-limit interval, 907.3 cents in size. In the Functional Just System and Helmholtz-Ellis notation, it is a diminished seventh, obtained by adding 81/80 and 513/512 to the Pythagorean diminished seventh, but it may be called the Eratosthenes' major sixth as it is sharper than the Pythagorean major sixth by the password aka Eratosthenes' comma (1216/1215), an unnoticeable comma of about 1.4243 cents.

Interval information
Ratio 76/45
Subgroup monzo 2.3.5.19 [2 -2 -1 1
Size in cents 907.2893¢
Name Eratosthenes' major sixth
Color name 19og7, nogu 7th
FJS name [math]\displaystyle{ \text{d7}^{19}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.7398
Weil norm (log2 max(n, d)) 12.4959
Wilson norm (sopfr(nd)) 34
Open this interval in xen-calc

See also