1525edo: Difference between revisions

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 {{Infobox ET}}
-The '''1525 equal divisions of the octave''', or the 1525-tone equal temperament (1525tet), 1525 equal temperament (1525et) when viewed from a regular temperament perspective, divides the octave into 1525 equal parts of about 0.787 cents each.
+{{ED intro}}
-== Theory ==
+edo is consistent to the [[9-odd-limit]], though its approcimation for [[7/4|7]] is worse than for the 5-limit. In higher limits, it is a good 2.3.5.7.13.19.31 system, and an excellent 2.3.5.19 system with an optional addition of [[29/23]].
-This system apparently is at its best in the 2.3.5.19 subgroup.
+In the 5-limit, it tempers out the [[dipromethia]], mapping [[2048/2025]] into [[61edo|1\61]] as well as the [[astro]] comma, {{monzo|91 -12 -31}} and the 25th-octave [[manganese]] comma, {{monzo|211 50 -125}}. In the 7-limit, it tunes [[osiris]], and in the 2.5.7.11.13 subgroup, [[french decimal]].
+=== Prime harmonics ===
 {{Harmonics in equal|1525}}
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+=== Subsets and supersets ===
+Since 1525 factors as {{Factorization|1525}}, 1525edo has subset edos {{EDOs|1, 5, 25, 61, 305}}.