Xenllium: 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..."

2025-08-09T10:40:51Z

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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{{Infobox interval
| Name = Eratosthenes' major sixth
| Color name = 19og7, nogu 7th
}}

'''76/45''' is a [[19-limit]] interval, 907.3 [[cent]]s 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 [[32768/19683|Pythagorean diminished seventh]], but it may be called the '''Eratosthenes' major sixth''' as it is sharper than the [[27/16|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]]

[[Category:Major sixth]]
[[Category:Sixth]]
[[Category:Eratosthenes]]

76/45 - Revision history