Orwell tetrad: Difference between revisions
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The orwell tetrad can in a natural way be extended to the [[11-limit]] as 1-7/6-11/8-8/5 by tempering out 99/98, a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out 176/175 and so also 540/539 allows it to be seen as the [[Orwellismic family#Guanyin|guanyin]] tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include 22, 31, 53, 58, 80 and 111. In orwell temperament, where 121/120 is tempered out, the guanyin and orwell tetrads are the same. | The orwell tetrad can in a natural way be extended to the [[11-limit]] as 1-7/6-11/8-8/5 by tempering out 99/98, a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out 176/175 and so also 540/539 allows it to be seen as the [[Orwellismic family#Guanyin|guanyin]] tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include 22, 31, 53, 58, 80 and 111. In orwell temperament, where 121/120 is tempered out, the guanyin and orwell tetrads are the same. | ||
The tetrad can be extended to a 15-limit nonad, the orwell-tempered version of 1-11/10-7/6-9/7-11/8-3/2-8/5-7/4-15/8, with steps of size 11/10-15/14-11/10-15/14-11/10-15/14-11/10-15/14-15/14. The orwell nonad is the same as the Orwell[9] MOS, considered as a chord. Since it can be considered to be a chord, it is possible to retune music from 12edo to Orwell[9] by using [[orwell9-12 | The tetrad can be extended to a 15-limit nonad, the orwell-tempered version of 1-11/10-7/6-9/7-11/8-3/2-8/5-7/4-15/8, with steps of size 11/10-15/14-11/10-15/14-11/10-15/14-11/10-15/14-15/14. The orwell nonad is the same as the Orwell[9] MOS, considered as a chord. Since it can be considered to be a chord, it is possible to retune music from 12edo to Orwell[9] by using the [[orwell9-12]] scale. Examples of music retuned in this way are given below: | ||
== | == Sound examples == | ||
[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/reger135b-fantasie-orwell9.mp3 Reger Fantasie op135b] | * [http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/k404-orwell9.mp3 Scarlatti K404] | ||
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/reger135b-fantasie-orwell9.mp3 Reger Fantasie op135b] | |||
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3 Swing, Swing, Swing] | |||
== See also == | |||
* [[Chords of orwell]] | |||
[[Category:11-limit]] | |||
[[Category:15-limit]] | [[Category:15-limit]] | ||
[[Category:Dyadic]] | [[Category:Dyadic]] | ||
[[Category:Guanyin]] | [[Category:Guanyin]] | ||
[[Category:Orwell]] | [[Category:Orwell]] | ||
[[Category:Tetrad]] | [[Category:Tetrad]] | ||