16/13: Difference between revisions
Add the info about the difference from 81/64 and 27/22 |
About its proximity to 10edo |
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In [[13-limit]] [[just intonation]], '''16/13''' is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of [[13/8]], the 13th harmonic. It differs from [[81/64]] by [[1053/1024]], about 48¢, from [[5/4]] by [[65/64]], about 27¢, from the undecimal neutral third [[11/9]] by [[144/143]], about 12¢, and from the rastmic neutral third [[27/22]] by [[352/351]], about 4.9¢. A [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39/32]], which measures about 342.5¢. The interval between these two intervals is [[512/507]], about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[harmonic series]]. | In [[13-limit]] [[just intonation]], '''16/13''' is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of [[13/8]], the 13th harmonic. It differs from [[81/64]] by [[1053/1024]], about 48¢, from [[5/4]] by [[65/64]], about 27¢, from the undecimal neutral third [[11/9]] by [[144/143]], about 12¢, and from the rastmic neutral third [[27/22]] by [[352/351]], about 4.9¢. A [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39/32]], which measures about 342.5¢. The interval between these two intervals is [[512/507]], about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[harmonic series]]. | ||
16/13 is a fraction of a cent away from the neutral third found in the 10''n'' family of edos. | |||
== See also == | == See also == | ||