76/45

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 height (log2 nd)	11.7398
Weil height (log2 max(n, d))	12.4959
Wilson height (sopfr(nd))	34
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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.

See also

• 45/38 – its octave complement
• Gallery of just intervals