14/11: Difference between revisions
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{{Infobox Interval | |||
|1 0 0 1 -1 | | Icon = | ||
| Ratio = 14/11 | |||
| Monzo = 1 0 0 1 -1 | |||
| Cents = 417.50796 | |||
| Name = undecimal major third | |||
| Color name = | |||
| Sound = jid_14_11_pluck_adu_dr220.mp3 | |||
}} | |||
417. | In [[11-limit]] [[Just intonation]], '''14/11''' is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the [[OverToneSeries|harmonic series]] and appears in chords such as 8:11:14, the principal triad of [[Orgonia|Orgone]] temperament. 14/11 can also function as a [[Neo-Gothic]] major third, as it falls between [[5/4]] and [[9/7]]. Indeed, it is the [[mediant|mediant]] ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) = [[19/15]], about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(11+7) = [[23/18]], about 424.4¢. Also in this region is the Pythagorean ([[3-limit]]) major third of [[81/64]] (about 407.8¢), which can be generated by stacking four [[3/2]] perfect fifths and [[octave-reduce|octave-reducing]]. | ||
[[ | == See also == | ||
* [[Gallery of just intervals]] | |||
* [[gentle chords]] | |||
* [[List of root-3rd-P5 triads in JI]] | |||
* [http://dkeenan.com/Music/NobleMediant.txt The Noble Mediant] | |||
[[Category:Major third]] | |||
[[Category:Supermajor]] | |||
[[Category:Undecimal]] | |||
[[Category: | [[Category:11-limit]] | ||
[[Category: | [[Category:Third]] | ||
[[Category:Interval]] | |||
Revision as of 23:15, 24 October 2018
| Interval information |
[sound info]
In 11-limit Just intonation, 14/11 is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the harmonic series and appears in chords such as 8:11:14, the principal triad of Orgone temperament. 14/11 can also function as a Neo-Gothic major third, as it falls between 5/4 and 9/7. Indeed, it is the mediant ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) = 19/15, about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(11+7) = 23/18, about 424.4¢. Also in this region is the Pythagorean (3-limit) major third of 81/64 (about 407.8¢), which can be generated by stacking four 3/2 perfect fifths and octave-reducing.