16/13: Difference between revisions
fixed error 39th harmonic, not "overtone" |
added the color name |
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| Line 4: | Line 4: | ||
| Cents = 359.47234 | | Cents = 359.47234 | ||
| Name = (greater) tridecimal neutral third, <br>octave-reduced 13th subharmonic | | Name = (greater) tridecimal neutral third, <br>octave-reduced 13th subharmonic | ||
| Color name = 3u3, thu 3rd | |||
| FJS name = M3<sub>13</sub> | | FJS name = M3<sub>13</sub> | ||
| Sound = jid_16_13_pluck_adu_dr220.mp3 | | Sound = jid_16_13_pluck_adu_dr220.mp3 | ||
Revision as of 05:06, 13 February 2022
| Interval information |
octave-reduced 13th subharmonic
reduced subharmonic
[sound info]
In 13-limit just intonation, 16/13, the (greater) tridecimal neutral third, is a 13-limit-based interval measuring about 359.5¢. It is the inversion of 13/8, the 13th harmonic.
16/13 differs from the Pythagorean major third 81/64 by 1053/1024, about 48¢, from the classic major third 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 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 harmonic of the harmonic series.
16/13 is a fraction of a cent away from the neutral third found in the 10n family of edos.