76ed7/3: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}


76ed7/3 is a tuning system dividing the subminor tenth, [[7/3]], into 76 equal parts. While it fails to accurately represent the 3rd, 5th, or 7th harmonics, it inherits great approximations of the 11th, 13th, 17th, and 19th harmonics from its cousin [[197edt]], notable for its strong representation of the no-twos, no-fives JI subgroup. 76ed7/3 additionally provides an equave stretch appropriate for producing, at the cost of a flat tendency for most well-represented prime harmonics as well as the 9th harmonic, a passable approximation to [[5/3]] and interesting approximations to many higher primes. Its natural subgroup in the [[19-limit]] is 7/3.9.11.13.15.17.19, but this can extend to include higher primes, especially 29 and 31.
{{Harmonics in equal|76|7|3|prec=2|columns=15|intervals=prime}}
{{Harmonics in equal|76|7|3|prec=2|columns=15|intervals=odd}}
{{Harmonics in equal|76|7|3|prec=2|columns=15|intervals=odd}}