Fall2009.FYSM117Homework3 History
Show minor edits  Show changes to markup
Changed lines 2526 from:
 Use Audacity to generate two scales via sine waves: a just scale (based on harmonic overtones, i.e., naturally occurring oscillations), and a equaltemperament scale (based on balanced keyboard tuning, i.e., technology driven).
to:
 Use Audacity to generate two scales via sine waves: a just scale (based on harmonic overtones, i.e., naturally occurring oscillations), and an equaltemperament scale (based on balanced keyboard tuning, i.e., technology driven).
Added lines 3536:
 Pick a scale and create a melody. The melody should be constructed with sine waves like the scales above.
Changed lines 3738 from:
Create a more interesting melody (use harmony, i.e., two or more voices). (Hint: If you select a song like "Row, row, row your boat", it is easy to add harmony, since you can reuse the same voice  just copy it and shift it in time.)
to:
The more you do, the more bonus points you earn...
 Create more scales. For instance try:
 Pythagorean Tuning. Question: What happens if instead of 3/2 you use the golden ratio (1.61803399 ...)?
 diatonic, Indian scales and others
 Meantone Temperament and others
 anything else you find
 Create a more interesting melody (use harmony, i.e., two or more voices). (Hint: If you select a song like "Row, row, row your boat", it is easy to add harmony, since you can reuse the same voice  just copy it and shift it in time.)
 Other ideas...
Added line 60:
 Describe the two scales. Create a table with frequency ratios for each scale. Repeat for bonus work.
Changed line 68 from:
 Three final mixeddown audio file (see Audacity's Export menu). The format should be MP3 or OGG.
to:
 Three final mixeddown audio file (see Audacity's Export menu). The format should be MP3 or OGG. (For bonus wrok, use meaningful file names accordingly.)
Changed line 72 from:
 Michael Beer (2008). "Mathematics and Music: Relating Science to Arts?" Mathematical Spectrum, 41(1):3642, 2008.
to:
 Michael Beer (2008). "Mathematics and Music: Relating Science to Arts?" Mathematical Spectrum, 41(1):3642.
Changed lines 6061 from:
 _.mp3 (or .ogg). For example, RowRowRowYourBoat_Equal.mp3.
to:
 melodyname_scalename.mp3 (or .ogg). For example, RowRowRowYourBoat_Equal.mp3.
Changed lines 2124 from:
 Read the article "Mathematics and Music: Relating Science to Arts?" by Michael Beer [1].
 Then use Audacity to generate two scales via sine waves: a just scale (based on harmonic overtones, i.e., naturally occurring oscillations), and a equaltemperament scale (based on balanced keyboard tuning, i.e., technology driven).
to:
 Read this article:
Michael Beer (2008). "Mathematics and Music: Relating Science to Arts?" Mathematical Spectrum, 41(1):3642.
 Use Audacity to generate two scales via sine waves: a just scale (based on harmonic overtones, i.e., naturally occurring oscillations), and a equaltemperament scale (based on balanced keyboard tuning, i.e., technology driven).


