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{{Infobox ET}} | {{Infobox ET}} | ||
'''[[Edt|Division of the third harmonic]] into 30 equal parts''' (30edt) is related to [[19edo|19 edo]], but with the [[3/1]] rather than the [[2/1]] being [[just]]. The octave is [[octave stretch|stretched]] by about 4.5715 [[cents]] and the step size is about 63.3985 cents. It is consistent to the 10-[[integer-limit]]. | '''[[Edt|Division of the third harmonic]] into 30 equal parts''' (30edt) is related to [[19edo|19 edo]], but with the [[3/1]] rather than the [[2/1]] being [[just]]. The octave is [[octave stretch|stretched]] by about 4.5715 [[cents]] and the step size is about 63.3985 cents. It is [[consistent]] to the 10-[[integer-limit]]. | ||
Because [[19edo]] has the 3rd, 5th, 7th, and 13th [[harmonic]]s all flat (the latter two very flat), it benefits greatly from octave stretching. 30edt is one possible alternative; at the cost of sharpening the octave, it achieves much better matches to the odd harmonics; the 3 (tritave) is by definition just, the 5 slightly sharp, and the 7 and 13 slightly flat. | Because [[19edo]] has the 3rd, 5th, 7th, and 13th [[harmonic]]s all flat (the latter two very flat), it benefits greatly from octave stretching. 30edt is one possible alternative; at the cost of sharpening the octave, it achieves much better matches to the odd harmonics; the 3 (tritave) is by definition just, the 5 slightly sharp, and the 7 and 13 slightly flat. | ||