225edo: Difference between revisions

@@ Line 1: / Line 1: @@
-=Scales=
+{{Infobox ET}}
-[[bossier8|bossier8]]
+{{ED intro}}
-[[bossier11|bossier11]]
+== Theory ==
+edo 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| 225 357 '''523''' 632 }} (225c).
-[[bossier14|bossier14]]      [[Category:225edo]]
+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.
-[[Category:edo]]
-[[Category:todo:add_definition]]
+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.
+=== Odd harmonics ===
+{{Harmonics in equal|225}}
+== Scales ==
+* [[Bossier scales]]
+[[Category:Bossier]]