49edo: Difference between revisions
→Intervals: Add links to intervals that did not have them (some refer to pages that do not exist yet; some have corresponding pages); add the semisept generator 72/55 and its octave complement 55/36 |
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=== Zeta peaks === | === Zeta peaks === | ||
The strongest [[ | The strongest [[Riemann zeta function|local zeta peak]] around 49edo is its second closest, 49.141 edo. One step is 24.419 cents, and two steps, 48.839 cents, is a good generator for [[Triple BP]]. | ||
== Approximation to irrational intervals == | == Approximation to irrational intervals == | ||
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{{main|List of MOS scales in 49edo}} | {{main|List of MOS scales in 49edo}} | ||
* Bohpier[8]: 6 6 6 6 7 6 6 6 | * [[Bohpier]][8]: 6 6 6 6 7 6 6 6 | ||
* Catalan[7]: 3 10 3 10 3 10 10 (vaugely diminished-like) | * [[Catalan]][7]: 3 10 3 10 3 10 10 (vaugely diminished-like) | ||
* Catalan[11]: 3 7 3 3 7 3 3 7 3 3 7 | * Catalan[11]: 3 7 3 3 7 3 3 7 3 3 7 | ||
* Catalan[19]: 3 3 1 3 3 3 3 1 3 3 3 1 3 3 3 3 1 3 3 | * Catalan[19]: 3 3 1 3 3 3 3 1 3 3 3 1 3 3 3 3 1 3 3 | ||
* Clyde[5]: 5 13 5 13 13 (mysterious, adventurous) | * [[Clyde]][5]: 5 13 5 13 13 (mysterious, adventurous) | ||
* Didacus[6]: 8 8 8 8 8 9 (like the whole tone scale) | * [[Didacus]][6]: 8 8 8 8 8 9 (like the whole tone scale) | ||
* Didacus[13]: 1 7 1 7 1 7 1 7 1 7 1 7 1 | * Didacus[13]: 1 7 1 7 1 7 1 7 1 7 1 7 1 | ||
* Infraorwell[5]: 11 11 5 11 11 | * [[Infraorwell]][5]: 11 11 5 11 11 | ||
* Infraorwell[22]: 1 4 1 4 1 1 4 1 4 1 1 4 1 4 1 4 1 1 4 1 4 1 | * Infraorwell[22]: 1 4 1 4 1 1 4 1 4 1 1 4 1 4 1 4 1 1 4 1 4 1 | ||
* Kleiboh[5]: 12 12 12 12 1 | * [[Kleiboh]][5]: 12 12 12 12 1 | ||
* Kleiboh[13]: 1 10 1 1 10 1 1 1 10 1 1 10 1 | * Kleiboh[13]: 1 10 1 1 10 1 1 1 10 1 1 10 1 | ||
* Magus[7]: 1 15 1 15 1 15 1 (vaguely augmented-like) | * [[Magus]][7]: 1 15 1 15 1 15 1 (vaguely augmented-like) | ||
* Passion[12]: 4 4 4 4 4 4 5 4 4 4 4 4 (like [[12edo]]) | * [[Passion]][12]: 4 4 4 4 4 4 5 4 4 4 4 4 (like [[12edo]]) | ||
* Passion[23]: 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 | * Passion[23]: 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 | ||
* Sevond[21]/Seville[21]: 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 | * [[Sevond]][21]/[[Seville]][21]: 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 | ||
* Superpyth[5]: 11 9 9 11 9 (in between minor pentatonic and [[equipentatonic]]) | * [[Superpyth]][5]: 11 9 9 11 9 (in between minor pentatonic and [[equipentatonic]]) | ||
* Superpyth[7]: 9 2 9 9 9 2 9 (Dorian mode; rotate for other modes) | * Superpyth[7]: 9 2 9 9 9 2 9 (Dorian mode; rotate for other modes) | ||
* Superpyth[12]: 2 7 2 7 2 2 7 2 7 2 7 2 (same melodic shape as [[12edo]] but much more [[xenharmonic]] harmonies) | * Superpyth[12]: 2 7 2 7 2 2 7 2 7 2 7 2 (same melodic shape as [[12edo]] but much more [[xenharmonic]] harmonies) | ||
* Superpyth[27]: 2 2 1 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 1 2 2 | * Superpyth[27]: 2 2 1 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 1 2 2 | ||
* [[6afdo]]: 11 9 9 7 7 6 | |||
=== Other scales === | === Other scales === | ||
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* [https://www.youtube.com/shorts/BcBtD3nuEQs ''49edo groove''] (2026) | * [https://www.youtube.com/shorts/BcBtD3nuEQs ''49edo groove''] (2026) | ||
* [https://www.youtube.com/shorts/VmUIxWb8NCY ''49edo prelude''] (2026) | * [https://www.youtube.com/shorts/VmUIxWb8NCY ''49edo prelude''] (2026) | ||
* [https://www.youtube.com/watch?v=aNswQ1-1nlM&list=WL&index=275 | * ''Prelude in 49edo'' (2026) | ||
** [https://www.youtube.com/watch?v=aNswQ1-1nlM&list=WL&index=275 <nowiki>[short clip]</nowiki>] (2026) (Lumatone view) | |||
** [https://www.youtube.com/watch?v=j1FEWPvHlGo <nowiki>[full version]</nowiki>] (2026) | |||
; [[Mercury Amalgam]] | ; [[Mercury Amalgam]] | ||