36edo: Difference between revisions

BudjarnLambeth (talk | contribs)
BudjarnLambeth (talk | contribs)
 
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{{Harmonics in cet|33.287|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 11lim TE-tuned 36edo (continued)}}
{{Harmonics in cet|33.287|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 11lim TE-tuned 36edo (continued)}}


Compressing the octave of 36edo by about 2{{c}} results in much improved primes 5 and 11, but much worse primes 7 and 13. This approximates all primes up to 11 within 9.7{{c}}. The 11- and 13-limit TE tunings of 36edo both do this, as do their respective WE tunings.
Compressing the octave of 36edo by about 2{{c}} results in much improved primes 5 and 11, but much worse primes 7 and 13. This approximates all primes up to 16 within 13.4{{c}}. The 11- and 13-limit TE tunings of 36edo both do this, as do their respective WE tunings.


{| class="wikitable sortable center-all mw-collapsible mw-collapsed"
{| class="wikitable sortable center-all mw-collapsible mw-collapsed"
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• 12-tone chord 30:34:35:36:37:38:40:35:47:52:53:56 approximated from [[30afdo]]^: 6 2 1 2 1 3 6 2 6 1 2 4  
• 12-tone chord 30:34:35:36:37:38:40:35:47:52:53:56 approximated from [[30afdo]]^: 6 2 1 2 1 3 6 2 6 1 2 4  


    •  Rotated [[6afdo]]: 6 6 9 8 7
    •  Rotated [[5afdo]]: 6 6 9 8 7


    • Flattened Ionian pentatonic: 11 4 6 11 4
    • Flattened Ionian pentatonic: 11 4 6 11 4
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; [[Herman Klein]]
; [[Herman Klein]]
* [http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3 ''Something''] (2022)
* [http://micro.soonlabel.com/gene_ward_smith/36edo/something.mp3 ''Something''] (2022)
; [[Budjarn Lambeth]]
* [https://youtu.be/XZKafk-PkPc ''Improvisation in zeta-stretched 36edo (catnip24 scale)''] (2025)


; [[Claudi Meneghin]]
; [[Claudi Meneghin]]