Fall2009.FYSM117Homework3 History

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Changed lines 25-26 from:
  1. Use Audacity to generate two scales via sine waves: a just scale (based on harmonic overtones, i.e., naturally occurring oscillations), and a equal-temperament scale (based on balanced keyboard tuning, i.e., technology driven).
to:
  1. Use Audacity to generate two scales via sine waves: a just scale (based on harmonic overtones, i.e., naturally occurring oscillations), and an equal-temperament scale (based on balanced keyboard tuning, i.e., technology driven).
Added lines 35-36:
  1. Pick a scale and create a melody. The melody should be constructed with sine waves like the scales above.
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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...

  1. 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
  2. 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.)
  3. Other ideas...
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  1. Describe the two scales. Create a table with frequency ratios for each scale. Repeat for bonus work.
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  1. Three final mixed-down audio file (see Audacity's Export menu). The format should be MP3 or OGG.
to:
  1. Three final mixed-down 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:
  1. Michael Beer (2008). "Mathematics and Music: Relating Science to Arts?" Mathematical Spectrum, 41(1):36-42, 2008.
to:
  1. Michael Beer (2008). "Mathematics and Music: Relating Science to Arts?" Mathematical Spectrum, 41(1):36-42.
Changed lines 60-61 from:
  • _.mp3 (or .ogg). For example, RowRowRowYourBoat_Equal.mp3.
to:
  • melody-name_scale-name.mp3 (or .ogg). For example, RowRowRowYourBoat_Equal.mp3.
Changed lines 21-24 from:
  1. Read the article "Mathematics and Music: Relating Science to Arts?" by Michael Beer [1].
  2. Then use Audacity to generate two scales via sine waves: a just scale (based on harmonic overtones, i.e., naturally occurring oscillations), and a equal-temperament scale (based on balanced keyboard tuning, i.e., technology driven).
to:
  1. Read this article:

    Michael Beer (2008). "Mathematics and Music: Relating Science to Arts?" Mathematical Spectrum, 41(1):36-42.
  2. Use Audacity to generate two scales via sine waves: a just scale (based on harmonic overtones, i.e., naturally occurring oscillations), and a equal-temperament scale (based on balanced keyboard tuning, i.e., technology driven).