Cosmic Harmonics
Cosmic Harmonics
Cosmic Harmonics
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Microtonal & Tempered Notes<br />
• Microtonal: notes are allowed to have any frequency<br />
• Tempered: notes are forced to nearest note on scale<br />
which note, n, corresponds to frequency f ?<br />
f n/f 1 = 2 n/12<br />
log (f n/f 1) = (n/12) log 2<br />
n = 12 log (f n/f 1) / log 2 = 39.8631 × log 10 (f n/f 1)<br />
•egfor 6 th harmonic on a string: f n = 6 × f 1 f n/f 1 = 6<br />
n = 39.8631 × log 10 (6) = 31.0196<br />
which is 7.0196 notes above the 24 th<br />
ie 7.0196 notes into the third octave.<br />
we force this to the 7 th note (G above C in 3 rd octave)<br />
4. <strong>Cosmic</strong> Sound in Musical<br />
Notation<br />
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