Mathematics and Music Monika Apsite ED 205 06 Next Slide Exit Main Page
Main Page <ul><li>Historical </li></ul><ul><li>Definition </li></ul><ul><li>Melody </li></ul><ul><li>Harmony </li></ul><ul...
Historical <ul><li>The ancient Greeks considered mathematics one of the four branches of Mathematics. </li></ul><ul><li>On...
Music definition <ul><li>Music, simply defined, is an  </li></ul><ul><li>ordered pattern of sounds.  </li></ul><ul><li>It ...
Melody <ul><li>Melody: patterns with successive tones, is what is recognized.  </li></ul><ul><li>The organization of melod...
Harmony <ul><li>Harmony:  The vertical dimension of music, simultaneously sounded notes. </li></ul><ul><li>Pythagoras inve...
Rhythm <ul><li>Rhythm:  the timing aspect of music, of long and short  </li></ul><ul><li>Most like fractions, a measure co...
The Media <ul><li>The media of music and  </li></ul><ul><li>mathematics is both the  </li></ul><ul><li>organized realm and...
Creative Process <ul><li>Creation in math and music  </li></ul><ul><li>begins with new ideas, once  </li></ul><ul><li>they...
Demonstration <ul><li>Music is based on succession, requires memory of previous melody, harmony, and rhythm.  </li></ul><u...
Conclusions <ul><li>Though many people tie math and music together, there may never be any real evidence for it.  </li></u...
Resources <ul><li>Boettcher, Wendy; Hahn, Sabrina; Shaw, Gordon.  “Mathematics and Music: A Search for Insight into Higher...
Author’s Bio <ul><li>My name is Monika Apsite.  I attend Grand Valley State University where I am working on a music educa...
Concept Map Next Slide Exit Main Page
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  1. 1. Mathematics and Music Monika Apsite ED 205 06 Next Slide Exit Main Page
  2. 2. Main Page <ul><li>Historical </li></ul><ul><li>Definition </li></ul><ul><li>Melody </li></ul><ul><li>Harmony </li></ul><ul><li>Rhythm </li></ul><ul><li>Media </li></ul><ul><li>Creative Process </li></ul><ul><li>Demonstration </li></ul><ul><li>Conclusions </li></ul><ul><li>Resources </li></ul><ul><li>Author’s Bio </li></ul><ul><li>Concept Map </li></ul>Next Slide Exit Main Page
  3. 3. Historical <ul><li>The ancient Greeks considered mathematics one of the four branches of Mathematics. </li></ul><ul><li>One suggestion is that music leads to short term spatial reasoning performance. </li></ul><ul><li>This is an interview with musician Anthony Braxton, who discusses the correlation between chess, math, and music. </li></ul><ul><li>Interview with Anthony Braxton </li></ul>Next Slide Exit Main Page
  4. 4. Music definition <ul><li>Music, simply defined, is an </li></ul><ul><li>ordered pattern of sounds. </li></ul><ul><li>It can be analyzed three ways, by melody , harmony , and rhythm . </li></ul><ul><li>Each of these structures has its own types of patterns. </li></ul><ul><li>Every musical culture has these three aspects in different degrees. </li></ul>Next Slide Exit Main Page
  5. 5. Melody <ul><li>Melody: patterns with successive tones, is what is recognized. </li></ul><ul><li>The organization of melody can be related to a formula, of how there is a call and answer, or how it resolves. </li></ul>Next Slide Exit Main Page
  6. 6. Harmony <ul><li>Harmony: The vertical dimension of music, simultaneously sounded notes. </li></ul><ul><li>Pythagoras investigated the ratio frequency of notes, his findings involve the overtones series, and why things vibrate, and how vibrations pass on. </li></ul>Next Slide Exit Main Page
  7. 7. Rhythm <ul><li>Rhythm: the timing aspect of music, of long and short </li></ul><ul><li>Most like fractions, a measure containes a certain number of beats. </li></ul><ul><li>Each beat can then be divided again, into smaller segments. But, each measure will always add up to the same number of beats. </li></ul>Next Slide Exit Main Page
  8. 8. The Media <ul><li>The media of music and </li></ul><ul><li>mathematics is both the </li></ul><ul><li>organized realm and the eccentric. </li></ul><ul><li>Music is frequency waves as math is paper and pencil. </li></ul><ul><li>Yet music is regarded as eccentric, as math involves the heights of abstraction. </li></ul><ul><li>Both are systems of symbols referring only to themselves. </li></ul>Next Slide Exit Main Page
  9. 9. Creative Process <ul><li>Creation in math and music </li></ul><ul><li>begins with new ideas, once </li></ul><ul><li>they are worked with, they become logical. </li></ul><ul><li>The Musician uses his craft to make sense of what he wants to communicate </li></ul><ul><li>The Mathematician starts with any two consistent points, and can work out different consequences from there. </li></ul>Next Slide Exit Main Page
  10. 10. Demonstration <ul><li>Music is based on succession, requires memory of previous melody, harmony, and rhythm. </li></ul><ul><li>Math is about what is placed in a certain order. Each proposition follows from preceding axioms. </li></ul>Next Slide Exit Main Page
  11. 11. Conclusions <ul><li>Though many people tie math and music together, there may never be any real evidence for it. </li></ul><ul><li>Most of this information is theory, ideas, thoughts, and interviews. </li></ul><ul><li>The one way to know this information is to try it. </li></ul><ul><li>Mathematicians somehow can identify with music, whether it is relaxing so that they can focus on other things, or that it does reach an inner part of the brain. </li></ul><ul><li>Musicians also can understand music if they understand math principles. </li></ul>Next Slide Exit Main Page
  12. 12. Resources <ul><li>Boettcher, Wendy; Hahn, Sabrina; Shaw, Gordon. “Mathematics and Music: A Search for Insight into Higher Brain Function”. Leonardo Music Journal , Vol 4. (1994). </li></ul><ul><li>Cohen, Joel. “Some Relationshipe between Music and Mathematics”. Music Educator’s Journal , Vol 48, No. 1 (1961). </li></ul>Next Slide Exit Main Page
  13. 13. Author’s Bio <ul><li>My name is Monika Apsite. I attend Grand Valley State University where I am working on a music education major and a mathematics minor. My major instrument is the violin, though I like to play piano, viola, guitar, and sing also. </li></ul><ul><li>I love to be outside. My hobbies including hiking, walking, biking, swimming, or sightseeing. I love to travel. </li></ul><ul><li>My travels have taken me to Cape Town, South Africa, and also to Europe several times- including a semester studied abroad in Vienna, Austria. </li></ul><ul><li>Email me at mailto:msapsite@yahoo.com </li></ul>Next Slide Exit Main Page
  14. 14. Concept Map Next Slide Exit Main Page

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