76ed7/3: Difference between revisions
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{{ED intro}} | |||
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; however, 76ed7/3 should also be noted for the exceptional quality of its approximation to [[11/9]], inherited from [[38ed7/3]], which is a mere 0.0088 cents off from just. 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}} | |||
==Intervals== | |||
{{Interval table}} | |||