225edo: Difference between revisions
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'''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: | '''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: | ||
=Scales= | * {{val| 225 357 522 632 }} (patent val), | ||
*[[Bossier8]] | * {{val| 225 '''356''' 522 '''631''' }} (225bd), | ||
*[[Bossier11]] | * {{val| 225 357 '''523''' 632 }} (225c). | ||
*[[Bossier14]] | |||
Using the patent val, it tempers out 20000/19683 and 2109375/2097152 in the 5-limit; 3125/3087, 10976/10935, and 589824/588245 in the 7-limit. | |||
Using the 225bd val, it tempers out 78732/78125 (sensipent comma) and {{monzo| -52 27 4 }} in the 5-limit; 225/224, 177147/175000, and 40353607/40000000 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. | |||
== Scales == | |||
* [[Bossier8]] | |||
* [[Bossier11]] | |||
* [[Bossier14]] | |||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
Revision as of 05:03, 26 January 2021
225edo is the equal division of the octave into 225 parts of 5.3333 cents each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit:
- ⟨225 357 522 632] (patent val),
- ⟨225 356 522 631] (225bd),
- ⟨225 357 523 632] (225c).
Using the patent val, it tempers out 20000/19683 and 2109375/2097152 in the 5-limit; 3125/3087, 10976/10935, and 589824/588245 in the 7-limit.
Using the 225bd val, it tempers out 78732/78125 (sensipent comma) and [-52 27 4⟩ in the 5-limit; 225/224, 177147/175000, and 40353607/40000000 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.