The E Flat 5, 3 Lydian Scale. As the first 5-limit, just intonation tuning of a diatonic scale this is the most anticipated scale since the "Scale of the Day" began. With the addition of the prime-factor of 5 it is possible to tune 5/4 major thirds - which is qualitatively more consonant than the 81/64 third afforded by the 3-limit Pythagorean system. 5-limit just intonation is - to my ears - the kind of tuning that brings out the most from classical tertiary harmony. That 1/1, 5/4, 3/2 major triad fuses into a single sound as the interval relationships line up with the 4th, 5th and 6th partials of the harmonic series resulting in a consonance equal temperament only approximates. 5-limit just intonation is a good place to begin exploring just temperaments, and it's a good way to teach the ears about harmony.
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