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'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of [[5/4]]. The cantonisma – (5/4)/(14/13)<sup>3</sup> = 10985/10976 – is tempered out in such notable [[EDO|EDO]]s as {{EDOs|46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764}}, leading to a variety of temperaments in which three trienthirds make up a major third. | '''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of [[5/4]]. The [[cantonisma]] – (5/4)/(14/13)<sup>3</sup> = 10985/10976 – is tempered out in such notable [[EDO|EDO]]s as {{EDOs|46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764}}, leading to a variety of temperaments in which three trienthirds make up a major third. | ||
The trienthird was a favorite interval of [[Wikipedia:Avicenna|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). | The trienthird was a favorite interval of [[Wikipedia:Avicenna|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor). | ||