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--- musicwiki:concepts [2021/05/27 17:25] – [A multi Ratio Approach] shining
+++ musicwiki:concepts [2021/05/27 17:52] – [Music and Math] ying
@@ Line 4: / Line 4: @@
     * interactive circle: https://pianolit.com/tools/circle-of-fifths
     * cn topic (音乐、音律与数学): https://www.youtube.com/watch?v=wdHyPtchVPQ
+    * cn topic (science in music): https://www.youtube.com/watch?v=v5QlocAclXY
@@ Line 47: / Line 48: @@
     * as you see, there is 2 way to get D4 ([[https://en.wikipedia.org/wiki/Major_second|major 2nd]]), so are some other notes
     * the half step of each next note, like from E to Eb, are not the same, half step difference range from 104.1% to 108%
+===== Temperament Approach (no ratio) =====
+  * **well temperament**: 1/2 maintain ratio, a set of defined frequency of each note
+  * **equal temperament**: 1/2 maintain ratio, half step is x, solving x^12 = 1/2
+===== Conclusion on Music Note Tuning =====
+  * different music to math definition means different music tuning system
+  * different time, different culture, different history, different instrument means their default sounding may be slightly different, based on their choice of taste of sound.
+  * modern equal temperament tuning is a balance of all for flexibility of sound adapting