35edo: Difference between revisions
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35edo can also represent the 2.3.5.7.11.17 [[subgroup]] and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of the higher primes ([[7/5]] and [[17/11]] stand out, having less than 1 cent error). Therefore among [[whitewood]] tunings it is very versatile; you can switch between these different subgroups if you don't mind having to use two different 3/2s to reach the inconsistent 9 (a characteristic of whitewood tunings). | 35edo can also represent the 2.3.5.7.11.17 [[subgroup]] and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of the higher primes ([[7/5]] and [[17/11]] stand out, having less than 1 cent error). Therefore among [[whitewood]] tunings it is very versatile; you can switch between these different subgroups if you don't mind having to use two different 3/2s to reach the inconsistent 9 (a characteristic of whitewood tunings). | ||
35edo has the | 35edo has the [[optimal patent val]] for the [[greenwood]] temperament, as well as 11-limit [[muggles]], and the 35f val is an excellent tuning for 13-limit muggles. 35edo is the largest edo with a lack of a [[diatonic scale]] (unless 7edo is considered a diatonic scale). | ||
=== Odd harmonics === | === Odd harmonics === | ||
| Line 645: | Line 645: | ||
| 1 | | 1 | ||
| 4\35 | | 4\35 | ||
| [[Secund]] | | [[Secund]] (35f) | ||
| | | | ||
| [[1L 7s]], [[8L 1s]], [[9L 8s]], [[9L 17s]] | | [[1L 7s]], [[8L 1s]], [[9L 8s]], [[9L 17s]] | ||
| Line 1,019: | Line 1,019: | ||
=== Modern renderings === | === Modern renderings === | ||
; {{W|Frederick Chopin}} | ; {{W|Frederick Chopin}} | ||
* [https://www.youtube.com/watch?v=1odAmqiQaz0 ''CHOPIN Waltz op 64 #2''] (1847 | * [https://www.youtube.com/watch?v=1odAmqiQaz0 ''CHOPIN Waltz op 64 #2''] (1847) – rendered in 35-edo with alternating sharp and flat fifths by [[Claudi Meneghin]] (2025) | ||
; {{W|Gesualdo}} | ; {{W|Carlo Gesualdo}} | ||
* [https:// | * [https://www.youtube.com/watch?v=idUG-x8kT3o&t=305 ''Dolcissima mia vita''] – in three comparative tunings including 35edo (5:05–10:05), rendered by [[Chris Vaisvil]] (2025) | ||
=== 21st century === | === 21st century === | ||
; [[Bryan Deister]] | ; [[Bryan Deister]] | ||
* [https://www.youtube.com/shorts/6X1-692axAk ''35edo''] (2025) | * [https://www.youtube.com/shorts/6X1-692axAk ''35edo''] (2025) | ||
* ''Whistling Like An Oberon - 35edo'' (2026) [https://www.youtube.com/shorts/rTkr2YHDvZM <nowiki>[short 1]</nowiki>] | * ''Whistling Like An Oberon - 35edo'' (2026) | ||
** [https://www.youtube.com/shorts/rTkr2YHDvZM <nowiki>[short 1]</nowiki>] | |||
** [https://www.youtube.com/shorts/AvIGI8TG9_8 <nowiki>[short 2]</nowiki>] | |||
** [https://m.youtube.com/watch?v=zPRYktfbJj8 <nowiki>[full piece]</nowiki>] | |||
* [https://www.youtube.com/watch?v=x8doWEgXMCY ''35edo improv''] (2026) | |||
; [[dotuXil]] | ; [[dotuXil]] | ||
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; [[Francium]] | ; [[Francium]] | ||
* "What Kind Of Things" from ''TOTMC 2025'' (2025) – [https://francium223.bandcamp.com/track/what-kind-of-things Bandcamp] | [https://www.youtube.com/watch?v=WaRm0dlUqQU YouTube] | * "What Kind Of Things" from ''TOTMC 2025'' (2025) – [https://francium223.bandcamp.com/track/what-kind-of-things Bandcamp] | [https://www.youtube.com/watch?v=WaRm0dlUqQU YouTube] | ||
; [[groundfault]] | |||
* "Sakura Blade Minivan", from ''Souvenirs of the Affliction'' (2025) – [https://groundfco.bandcamp.com/track/sakura-blade-minivan-27-35edo-2 Bandcamp] | [https://www.youtube.com/watch?v=rrjuGmmodn0&t=1436 YouTube (23:56–27:58)] – in part, the rest being in 27edo | |||
; [[JUMBLE]] | ; [[JUMBLE]] | ||
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; [[Budjarn Lambeth]] | ; [[Budjarn Lambeth]] | ||
* [https://www.youtube.com/watch?v=ZPXaMTdTSgw ''Lighting the Jack-o'-lanterns''] (2025, uses meta-monsoon scale{{idio}} from 6/5-[[ | * [https://www.youtube.com/watch?v=ZPXaMTdTSgw ''Lighting the Jack-o'-lanterns''] (2025, uses meta-monsoon scale{{idio}} from 6/5-[[Blackwood]][20]) | ||
; [[Chuckles McGee]] | ; [[Chuckles McGee]] | ||
* [https://www.archive.org/download/Transcendissonance/05Self-destructingMechanicalForest-CityOfTheAsleep.mp3 Self-Destructing Mechanical Forest] | * [https://www.archive.org/download/Transcendissonance/05Self-destructingMechanicalForest-CityOfTheAsleep.mp3 ''Self-Destructing Mechanical Forest''] – in Secund[9], 35edo tuning | ||
; [[Claudi Meneghin]] | ; [[Claudi Meneghin]] | ||
* [https://web.archive.org/web/20190412163316/http://soonlabel.com/xenharmonic/archives/2348'' Little Prelude & | * [https://web.archive.org/web/20190412163316/http://soonlabel.com/xenharmonic/archives/2348'' Little Prelude & Fugue, "The Bijingle"''] (2014) | ||
* [https://www.youtube.com/watch?v=JPie2YDwA8I ''MicroFugue on Happy Birthday for Baroque Ensemble''] (2023) | * [https://www.youtube.com/watch?v=JPie2YDwA8I ''MicroFugue on Happy Birthday for Baroque Ensemble''] (2023) | ||
* [https://www.youtube.com/shorts/c9rCrQwF1HI ''NEOBAROQUE CANON, 3-in-1 without Bass in 35-edo for Baroque Consort: Oboe, Recorder, Violin''] (2025) | * [https://www.youtube.com/shorts/c9rCrQwF1HI ''NEOBAROQUE CANON, 3-in-1 without Bass in 35-edo for Baroque Consort: Oboe, Recorder, Violin''] (2025) | ||