14/11: Difference between revisions
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| Name = undecimal major third | | Name = undecimal major third | ||
| Color name = 1uz4, luzo 4th | | Color name = 1uz4, luzo 4th | ||
| FJS name = P4<sup>7</sup><sub>11</sub> | |||
| Sound = jid_14_11_pluck_adu_dr220.mp3 | | Sound = jid_14_11_pluck_adu_dr220.mp3 | ||
}} | }} | ||
In [[11-limit]] [[just intonation]], '''14/11''' is the '''undecimal major third''' 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 [[Orgonia| | In [[11-limit]] [[just intonation]], '''14/11''' is the '''undecimal major third''', 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 [[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]] 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 == | == See also == | ||
* [[11/7]] – its [[octave complement]] | |||
* [[33/28]] – its [[fifth complement]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[ | * [[Gentle chords]] | ||
* [[List of root-3rd-P5 triads in JI]] | * [[List of root-3rd-P5 triads in JI]] | ||
* [http://dkeenan.com/Music/NobleMediant.txt The Noble Mediant] | * [http://dkeenan.com/Music/NobleMediant.txt ''The Noble Mediant'' by Margo Schulter and David Keenan] | ||
[[Category:11-limit]] | [[Category:11-limit]] | ||
Revision as of 08:53, 20 September 2020
| Interval information |
[sound info]
In 11-limit just intonation, 14/11 is the undecimal major third, 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.