225edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''225edo''' is the [[EDO|equal division of the octave]] into 225 parts of 5.3333 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit:  
{{ED intro}}
* {{val| 225 357 522 632 }} (patent val),  
 
== Theory ==
225edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with rather large errors in [[harmonic]]s [[3/1|3]], [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]]. It has three mappings possible for the 7-limit:  
* {{val| 225 357 522 632 }} ([[patent val]]),  
* {{val| 225 '''356''' 522 '''631''' }} (225bd),  
* {{val| 225 '''356''' 522 '''631''' }} (225bd),  
* {{val| 225 357 '''523''' 632 }} (225c).  
* {{val| 225 357 '''523''' 632 }} (225c).  
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Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.
Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.


== Harmonics ==
=== Odd harmonics ===
{{Harmonics in equal|225}}
{{Harmonics in equal|225}}


== Scales ==
== Scales ==
* [[Bossier8]]
* [[Bossier scales]]
* [[Bossier11]]
* [[Bossier14]]


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Bossier]]