350edo: Difference between revisions

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The '''350 equal division''' divides the octave into 350 equal parts of 3.429 cents each. It tempers out 1600000/1594323, the amity comma, in the 5-limit, and 4375/4374, 5120/5103 and 6144/6125 in the 7-limit, and it provides the [[Optimal_patent_val|optimal patent val]] for [[Ragismic_microtemperaments#Amity|amity temperament]]. In the 11-limit it tempers out 3025/3024 and 9801/9800, and provides the optimal patent val for hemiamity temperament.

350 ~~is divisible by~~ 2, 5, 7, 10, 14, 25, 35, 50, 70 and 175.

350edo has a sharp tendency, with [[harmonic]]s 3 to 11 all tuned sharp. The equal temperament [[tempering out|tempers out]] 1600000/1594323, the [[amity comma]], in the 5-limit, and [[4375/4374]], [[5120/5103]] and [[6144/6125]] in the 7-limit, and it provides the [[optimal patent val]] for the 7-limit [[amity]] temperament. In the 11-limit it tempers out [[3025/3024]] and [[9801/9800]], and provides the optimal patent val for 11-limit [[hemiamity]], whereas the 350f [[val]] is an excellent tuning for 13-limit hemiamity.

=== Odd harmonics ===

=== Subsets and supersets ===

Since 350 factors into {{factorization|350}}, 350edo has subset edos {{EDOs| 2, 5, 7, 10, 14, 25, 35, 50, 70 and 175 }}.

~~[[Category:Equal divisions of the octave|###]] ~~

[[Category:Amity]]

[[Category:Hemiamity]]

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-The '''350 equal division''' divides the octave into 350 equal parts of 3.429 cents each. It tempers out 1600000/1594323, the amity comma, in the 5-limit, and 4375/4374, 5120/5103 and 6144/6125 in the 7-limit, and it provides the [[Optimal_patent_val|optimal patent val]] for [[Ragismic_microtemperaments#Amity|amity temperament]]. In the 11-limit it tempers out 3025/3024 and 9801/9800, and provides the optimal patent val for hemiamity temperament.
+{{Infobox ET}}
+{{ED intro}}
-is divisible by 2, 5, 7, 10, 14, 25, 35, 50, 70 and 175.
+edo has a sharp tendency, with [[harmonic]]s 3 to 11 all tuned sharp. The equal temperament [[tempering out|tempers out]] 1600000/1594323, the [[amity comma]], in the 5-limit, and [[4375/4374]], [[5120/5103]] and [[6144/6125]] in the 7-limit, and it provides the [[optimal patent val]] for the 7-limit [[amity]] temperament. In the 11-limit it tempers out [[3025/3024]] and [[9801/9800]], and provides the optimal patent val for 11-limit [[hemiamity]], whereas the 350f [[val]] is an excellent tuning for 13-limit hemiamity.
+=== Odd harmonics ===
+{{Harmonics in equal|350}}
+=== Subsets and supersets ===
+Since 350 factors into {{factorization|350}}, 350edo has subset edos {{EDOs| 2, 5, 7, 10, 14, 25, 35, 50, 70 and 175 }}.
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Amity]]
 [[Category:Hemiamity]]