16/13: Difference between revisions
reworked |
m Fix ttypo |
||
| (16 intermediate revisions by 10 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = (greater) tridecimal neutral third, octave-reduced 13th subharmonic | |||
| Color name = 3u3, thu 3rd | |||
| Name = neutral | |||
| Color name = | |||
| Sound = jid_16_13_pluck_adu_dr220.mp3 | | Sound = jid_16_13_pluck_adu_dr220.mp3 | ||
}} | }} | ||
In [[13-limit]] [[just intonation]], '''16/13''' is a | 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 [[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 harmonic 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. | ||
[[ | |||
[[Category: | 16/13 is near the border-region between neutral thirds and submajor thirds, so it has a bright edge to it compared to narrower neutral thirds, while still sounding slightly darker than a major third like [[5/4]]. | ||
== See also == | |||
* [[13/8]] – its [[octave complement]] | |||
* [[39/32]] – its [[fifth complement]] | |||
* [[Gallery of Just Intervals]] | |||
[[Category:Third]] | |||
[[Category:Neutral third]] | [[Category:Neutral third]] | ||