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SOLUTIONS
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MUSIC 程序包 符号
TemperedChromatic
is an interval list corresponding to an equal tempered scale.
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- To use
, you first need to load the Music Package using Needs["Music`"]. - Intervals are measured in cents.
- MusicScale[TemperedChromatic, freq, dur] creates a Sound object that is a sequence of pitches corresponding to an equal-tempered scale.
gives a list of intervals in which the octave is divided into 12 equal parts.- Each part is a tempered semitone (100 cents).
- This is equivalent to making 12 fifths equal to 7 octaves, so an equal-tempered fifth is equal to 700 cents. (The Just Intonation and Pythagorean fifths are 702 cents, and the Mean Tone fifth is 696.6 cents.)
- This process guarantees equivalence between pitches, and allows intervals to be the same in all keys.
- However, except for the octave, none of the intervals are in tune with regard to mathematical ratios and the logic Pythagoras developed from proportional lengths of strings.
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