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musicwiki:concepts [2021/05/27 17:24] – [A multi Ratio Approach] shining | musicwiki:concepts [2021/05/27 18:06] (current) – [Music Notation] ying | ||
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* interactive circle: https:// | * interactive circle: https:// | ||
* cn topic (音乐、音律与数学): | * cn topic (音乐、音律与数学): | ||
+ | * cn topic (science in music): https:// | ||
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* other simple ratio ranking as: 1/2 > 2/3 > 3/4 > 4/5 | * other simple ratio ranking as: 1/2 > 2/3 > 3/4 > 4/5 | ||
* compared to above definition, G4 is 2/3 from C4 | * compared to above definition, G4 is 2/3 from C4 | ||
- | * compared to above definition, E4 (64/81) is mostly near 4/5 (x17 up/down = 68/85) | + | * compared to above definition, E4 (64/81) is mostly near 4/5 (x16 up/down = 64/80) |
* **using 2/3 and 4/5 way of pushing** (Pure intonation) | * **using 2/3 and 4/5 way of pushing** (Pure intonation) | ||
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* as you see, there is 2 way to get D4 ([[https:// | * as you see, there is 2 way to get D4 ([[https:// | ||
* 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% | * 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**: | ||
+ | * **equal temperament**: | ||
+ | |||
+ | ===== 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 | ||
+ | |||
+ | ====== Music and Physics ====== | ||
+ | |||
+ | * string frequency: | ||
+ | * longer string, lower frequency | ||
+ | * shorter string, higher frequency | ||
+ | * more tense string tightens, higher frequency | ||
+ | * more loose string tightens, lower frequency | ||
+ | * heavier string, lower frequency | ||
+ | * lighter string, higher frequency | ||
+ | |||
+ | ====== Music Notation ====== | ||
+ | |||
+ | * ref: | ||
+ | * cn topic (五線譜): | ||
+ | |||
+ | ====== Music Theory ====== | ||
+ | |||
+ | * ref: | ||
+ | * cn topic (basics): https:// | ||
+ | * cn topic (Circle of Fifths): https:// | ||
+ | * cn topic (major scale, minor scale): https:// | ||
+ |