321edo: Difference between revisions
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→Scales: Added a corresponding temperament for the Blastoff scale. |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
321edo is in[[consistent]] in the [[5-odd-limit]]. The [[patent val]] [[Tempering out|tempers out]] [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the 7-limit, supporting [[hemififths]]. In the 11-limit it tempers out [[385/384]] and 1375/1372, and in the 13-limit [[325/324]], [[352/351]], [[847/845]] | 321edo is in[[consistent]] in the [[5-odd-limit]]. The [[patent val]] [[Tempering out|tempers out]] [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the 7-limit, supporting [[hemififths]]. In the 11-limit it tempers out [[385/384]] and 1375/1372, and in the 13-limit [[325/324]], [[352/351]], [[847/845]], [[2080/2079]] and [[4096/4095]], providing the [[optimal patent val]] for 11- and 13-limit [[akea]] temperament. | ||
=== Prime harmonics === | === Prime harmonics === | ||
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== Interval table == | == Interval table == | ||
{{ | {{main|Table of 321edo intervals}} | ||
== Scales == | |||
[[JUMBLE]]'s Blastoff scale (9L 8s) | |||
* 25\321 | |||
* 37\321 | |||
* 62\321 | |||
* 74\321 | |||
* 99\321 | |||
* 111\321 | |||
* 136\321 | |||
* 148\321 | |||
* 173\321 | |||
* 185\321 | |||
* 210\321 | |||
* 222\321 | |||
* 247\321 | |||
* 259\321 | |||
* 284\321 | |||
* 296\321 | |||
* 321\321 | |||
This scale may be thought of as a tuning of the [[Greenwoodmic temperaments#Secundly|secundly]] (or lower limit secund) temperament. | |||
== Music == | == Music == | ||
; [[JUMBLE]] | ; [[JUMBLE]] | ||
* [https://www.youtube.com/watch?v=4HT5onKQaz0 ''Sun Through The Window''] (2023) | * [https://www.youtube.com/watch?v=4HT5onKQaz0 ''Sun Through The Window''] (2023) – ambient | ||
* [https://www.youtube.com/watch?v=cQoWVBbKnuA ''BLASTOFF!''] (2023) | * [https://www.youtube.com/watch?v=cQoWVBbKnuA ''BLASTOFF!''] (2023) – synthwave, [[9L 8s]] scale | ||
* [https://www.youtube.com/watch?v=e8hhlQSYqVY ''Infinity''] (2023) | |||
* [https://www.youtube.com/watch?v=ZW7JyextZoM ''Greige City''] (2023) – synthwave, [[9L 8s]] scale | |||
* [https://www.youtube.com/watch?v=yIfooPURtYE ''So Long, San Diego''] (2024) | |||
* [https://www.youtube.com/watch?v=xI0HXnrlSlA ''Ten Day Forecast''] (2024) – ambient | |||
; [[No Clue Music]] | |||
* [https://www.youtube.com/watch?v=orjW0qIveqU ''Frozen Star''] (2024) | |||
[[Category:Akea]] | |||
[[Category:Listen]] | |||