227edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
227et [[tempering out|tempers out]] 15625/15552 ([[15625/15552|kleisma]]) and {{monzo| 61 -37 -1 }} in the [[5-limit]]; [[5120/5103]], [[65625/65536]], and 117649/116640 in the [[7-limit]], so that it [[support]]s [[countercata]]. In the [[11-limit]], it tempers out [[385/384]], [[2200/2187]], [[3388/3375]], and [[12005/11979]], so that it provides the [[optimal patent val]] for 11-limit countercata. In the [[13-limit]], it tempers out [[325/324]], [[352/351]], [[625/624]], [[676/675]], and [[847/845]], and again supplies a good tuning for 13-limit countercata, although [[140edo]] tunes it better in this case. | |||
227edo is accurate for the [[13/1|13th harmonic]], as the denominator of a convergent to log<sub>2</sub>13, after [[10edo|10]] and before [[5231edo|5231]]. | 227edo is accurate for the [[13/1|13th harmonic]], as the denominator of a convergent to log<sub>2</sub>13, after [[10edo|10]] and before [[5231edo|5231]]. | ||
| Line 31: | Line 31: | ||
| {{monzo| 360 -227 }} | | {{monzo| 360 -227 }} | ||
| {{mapping| 227 360 }} | | {{mapping| 227 360 }} | ||
| | | −0.3561 | ||
| 0.3560 | | 0.3560 | ||
| 6.73 | | 6.73 | ||
| Line 38: | Line 38: | ||
| 15625/15552, {{monzo| 61 -37 -1 }} | | 15625/15552, {{monzo| 61 -37 -1 }} | ||
| {{mapping| 227 360 527 }} | | {{mapping| 227 360 527 }} | ||
| | | −0.1785 | ||
| 0.3842 | | 0.3842 | ||
| 7.27 | | 7.27 | ||
| Line 45: | Line 45: | ||
| 5120/5103, 15625/15552, 117649/116640 | | 5120/5103, 15625/15552, 117649/116640 | ||
| {{mapping| 227 360 527 637 }} | | {{mapping| 227 360 527 637 }} | ||
| | | −0.0071 | ||
| 0.4461 | | 0.4461 | ||
| 8.44 | | 8.44 | ||
| Line 99: | Line 99: | ||
| [[Undecental]] | | [[Undecental]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "little hope" from ''hope in dark times'' (2024) | * "little hope" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/1J6VKSGTkTRFs75WlEb6GP Spotify] | [https://francium223.bandcamp.com/track/little-hope Bandcamp] | [https://www.youtube.com/watch?v=juMfOpUu25I YouTube] | ||
* "Cuckoo Cucumber" from ''Cursed Cuckoo Creations'' (2024) | * "Cuckoo Cucumber" from ''Cursed Cuckoo Creations'' (2024) – [https://open.spotify.com/track/4WSc7cTf1ctWIiOXjTSAmc Spotify] | [https://francium223.bandcamp.com/track/cuckoo-cucumber Bandcamp] | [https://www.youtube.com/watch?v=po7hrgzSeb8 YouTube] | ||
* "Did You Put Resistors In My Brain?" from ''Questions'' (2024) | * "Did You Put Resistors In My Brain?" from ''Questions'' (2024) – [https://open.spotify.com/track/3QS6mj3GAMSmfJuQSsOE7Y Spotify] | [https://francium223.bandcamp.com/track/did-you-put-resistors-in-my-brain Bandcamp] | [https://www.youtube.com/watch?v=-FzOGzpxPv4 YouTube] | ||
* "Too Bad Homeboy" from ''Abbreviations Gone Wrong'' (2024) | * "Too Bad Homeboy" from ''Abbreviations Gone Wrong'' (2024) – [https://open.spotify.com/track/6VPup7pwSC10c0VzsBU4PG Spotify] | [https://francium223.bandcamp.com/track/too-bad-homeboy Bandcamp] | [https://www.youtube.com/watch?v=Y246sdIRbwQ YouTube] | ||
[[Category:Countercata]] | [[Category:Countercata]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||