206edo: Difference between revisions

BudjarnLambeth (talk | contribs)
Removed novelty tag for now. We can add it back later, but I think we should start with the biggest edos: 6000000, 4191814, 2901533… and work our way down. We should add the tag to bigger ones first.
Rework (1/2)
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{{Infobox ET}}
{{Infobox ET}}
'''206edo''' is the [[EDO|equal division of the octave]] into 206 parts of 5.8252 [[cent]]s each. It is closely related to [[103edo]], but the patent vals differ on the mapping for 3, 11, and 19.  
{{EDO intro|206}}
{{Primes in edo|206}}
 
== Theory ==
206edo is closely related to [[103edo]], but the [[patent val]]s differ on the mapping for 3, 11, and 19.  


== Mappings ==
It is in[[consistent]] to the 5-limit and higher limit, with four mappings possible for the 19-limit:
It is in[[consistent]] to the 5-limit and higher limit, with four mappings possible for the 19-limit:
* {{val| 206 327 478 578 713 762 842 875 }} ([[patent val]])
* {{val| 206 327 478 578 713 762 842 875 }} ([[patent val]])
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* 136/135, 256/255, 561/560, and 1275/1274 in the 17-limit
* 136/135, 256/255, 561/560, and 1275/1274 in the 17-limit
* 190/189, 476/475, 608/605, 836/833, and 969/968 in the 19-limit
* 190/189, 476/475, 608/605, 836/833, and 969/968 in the 19-limit
=== Odd harmonics ===
{{Harmonics in equal|206}}
=== Subsets and supersets ===
206edo contains 2edo and 103edo as subsets. 412edo, which doubles it, provides an excellent correction to the approximation of harmonic 3.


== Scales ==
== Scales ==
* [[skwares8]]
* [[skwares8]]
* [[skwares11]]
* [[skwares11]]
* [[skwares14]]
* [[skwares14]]
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->