27edo: Difference between revisions
Tristanbay (talk | contribs) →Theory: Fixed typo: "roughly" Tags: Mobile edit Mobile web edit |
It's ennealimmal that's out of tune; niner is tuned well. Niner isn't an extension of ennealimmal. "Semiaug" is an older name of hemiaug. Specify the vals used in each temp. Replace _ with proper spaces. |
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* 27et (27eg val) is lower in relative error than any previous equal temperaments in the 13-, 17-, and 19-limit. The next equal temperaments doing better in those subgroups are [[31edo|31]], 31, and [[46edo|46]], respectively. | |||
27et (27eg val) is lower in relative error than any previous equal temperaments in the 13-, 17-, and 19-limit. The next equal temperaments doing better in those subgroups are [[31edo|31]], 31, and [[46edo|46]], respectively. | * 27et is particularly strong in the 2.3.5.7.13.19 subgroup. The next equal temperament that does better in this subgroup is [[53edo|53]]. | ||
27et is particularly strong in the 2.3.5.7.13.19 subgroup. The next equal temperament that does better in this subgroup is [[53edo|53]]. | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
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| 1 | | 1 | ||
| 1\27 | | 1\27 | ||
| [[Quartonic]]/quarto | | [[Quartonic]] / quarto (27e) / quartz (27) | ||
| | | | ||
|- | |- | ||
| 1 | | 1 | ||
| 2\27 | | 2\27 | ||
| [[Octacot]]/octocat | | [[Octacot]] / octocat (27e) | ||
| [[ | | [[1L 12s]], [[13L 1s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 4\27 | | 4\27 | ||
| [[Tetracot]]/modus/wollemia | | [[Tetracot]] (27e) / modus (27e) / wollemia (27e) | ||
| [[ | | [[1L 5s]], [[6L 1s]], [[7L 6s]], [[7L 13s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 5\27 | | 5\27 | ||
| [[Machine]] | | [[Machine]] (27)<br>[[Kumonga]] (27e) | ||
| [[ | | [[1L 4s]], [[5L 1s]], [[5L 6s]], [[11L 5s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 7\27 | | 7\27 | ||
| [[Myna]]/coleto/ | | [[Myna]] (27e) / coleto (27e) / myno (27)<br>[[Oolong]] (27e) | ||
| [[ | | [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], [[4L 19s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 8\27 | | 8\27 | ||
| [[Beatles]]/ringo | | [[Beatles]] (27e) / ringo (27e) / beetle (27) | ||
| [[ | | [[3L 4s]], [[7L 3s]], [[10L 7s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 10\27 | | 10\27 | ||
| [[Sensi]] | | [[Sensi]] | ||
| [[ | | [[3L 2s]], [[3L 5s]], [[8L 3s]], [[8L 11s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 11\27 | | 11\27 | ||
| [[Superpyth]] | | [[Superpyth]] (27e) | ||
| [[ | | [[5L 2s]], [[5L 7s]], [[5L 12s]], [[5L 17s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 13\27 | | 13\27 | ||
| Fervor | | [[Fervor]] (27e) | ||
| [[ | | [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], [[2L 11s]], etc. … [[2L 23s]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 1\27 | | 1\27 | ||
| [[ | | [[Hemiaug]] (27e) | ||
| | | | ||
|- | |- | ||
| 3 | | 3 | ||
| 2\27 | | 2\27 | ||
| | | [[Augene]] (27e) / Eugene (27) | ||
| [[ | | [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 4\27 | | 4\27 | ||
| [[Oodako]] | | [[Oodako]] (27e)<br>[[Terrain]] | ||
| [[ | | [[3L 3s]], [[6L 3s]], [[6L 9s]], [[6L 15s]] | ||
|- | |- | ||
| 9 | | 9 | ||
| 1\27 | | 1\27 | ||
| [[ | | [[Niner]] (27e)<br>[[Ennealimmal]] (out of tune) | ||
| [[ | | [[9L 9s]] | ||
|} | |} | ||
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However, the frets are very close together and playing high up the neck requires careful use of fingernails for fretting. A skip-fretted guitar would have notes only slightly closer together than 12edo and be easier to play, particularly when tuned in the configuration detailed below. | However, the frets are very close together and playing high up the neck requires careful use of fingernails for fretting. A skip-fretted guitar would have notes only slightly closer together than 12edo and be easier to play, particularly when tuned in the configuration detailed below. | ||
*[[Skip fretting system 27 2 9]] | * [[Skip fretting system 27 2 9]] | ||
27edo can also be played on the Lumatone, with various layouts discussed here. | 27edo can also be played on the Lumatone, with various layouts discussed here. | ||
*[[Lumatone mapping for 27edo]] | * [[Lumatone mapping for 27edo]] | ||
== Music == | == Music == | ||
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*[https://youtu.be/R30aRbNtoIY ''Pitchblende''] (2023) | *[https://youtu.be/R30aRbNtoIY ''Pitchblende''] (2023) | ||
;[[Chris Vaisvil]] | ; [[Chris Vaisvil]] | ||
*[http://micro.soonlabel.com/27edo/daily20111202-deep-chasm-zeta-cp-1.mp3 ''Chicago Pile-1''] (2011) | * [http://micro.soonlabel.com/27edo/daily20111202-deep-chasm-zeta-cp-1.mp3 ''Chicago Pile-1''] (2011) | ||
;[[Xotla]] | ; [[Xotla]] | ||
*"Funkrotonal" from ''Microtonal Allsorts'' (2023) [https://open.spotify.com/track/1zjNkbm8kIkuCxtodyFCL0 Spotify] | [https://xotla.bandcamp.com/track/funkrotonal-27edo Bandcamp] | [https://www.youtube.com/watch?v=7gt1BBJuJsE YouTube] | * "Funkrotonal" from ''Microtonal Allsorts'' (2023) [https://open.spotify.com/track/1zjNkbm8kIkuCxtodyFCL0 Spotify] | [https://xotla.bandcamp.com/track/funkrotonal-27edo Bandcamp] | [https://www.youtube.com/watch?v=7gt1BBJuJsE YouTube] | ||
[[Category:Augene]] | [[Category:Augene]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Twentuning]] | [[Category:Twentuning]] | ||