14/13: Difference between revisions

Aura (talk | contribs)
Split off most of the information about the cantonisma onto its own page
m I remember people talking about possible names for this interval months back and multiple people agreed on the "coffee interval" so I wanted it to catch on. I hope this edit is ok, considering that's the first agreed-upon nickname for this interval to my knowledge.
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| Monzo = 1 0 0 1 0 -1
| Monzo = 1 0 0 1 0 -1
| Cents = 128.29824
| Cents = 128.29824
| Name = tridecimal 2/3-tone, <br>trienthird
| Name = tridecimal 2/3-tone, <br>trienthird, <br>coffee interval
| Color name =  
| Color name =  
| FJS name = M2<sup>7</sup><sub>13</sub>
| FJS name = M2<sup>7</sup><sub>13</sub>
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}}
}}


'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third), is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976|cantonisma]].
'''14/13''', the '''2/3-tone''' or '''trienthird''' (one-third third), nicknamed the '''coffee interval''', is a somewhat exotic 13-limit interval measuring about 128.3¢, which is almost exactly 1/3 of a [[5/4]] major third- a stack of three trienthirds falling short of a 5/4 major third by a [[10985/10976|cantonisma]].


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).