[softuploader]

TTC Video - How Music and Mathematics Relate | Size 3.56 GB

Gain new perspective on two of the greatest achievements of human culture-music and math-and the fascinating connections that will help you more fully appreciate the intricacies of both.

Great minds have long sought to understand the relationship between music and mathematics. On the surface, they seem very different. Music delights the senses and can express the most profound emotions, while mathematics appeals to the intellect and is the model of pure reasoning.

Yet music and mathematics are connected in fundamental ways. Both involve patterns, structures, and relationships. Both generate ideas of great beauty and elegance. Music is a fertile testing ground for mathematical principles, while mathematics explains the sounds instruments make and how composers put those sounds together. Moreover, the practitioners of both share many qualities, including abstract thinking, creativity, and intense focus.

Understanding the connections between music and mathematics helps you appreciate both, even if you have no special ability in either field-from knowing the mathematics behind tuning an instrument to understanding the features that define your favorite pieces. By exploring the mathematics of music, you also learn why non-Western music sounds so different, gain insight into the technology of modern sound reproduction, and start to hear the world around you in exciting new ways.

Among the insights offered by the study of music and mathematics together are these:
Harmonic series: The very concept of musical harmony comes from mathematics, dating to antiquity and the discovery that notes sounded together on a stringed instrument are most pleasing when the string lengths are simple ratios of each other. Harmonic series show up in many areas of applied mathematics.

"Air on the G String": One of Bach's most-loved pieces was transposed to a single string of the violin-the G string-to give it a more pensive quality. The mathematics of overtones explains why this simple change makes a big difference, even though the intervals between notes remain unchanged.

Auditory illusions: All voices on cell phones should sound female because of the frequency limits of the tiny speakers. But the human brain analyzes the overtone patterns to reconstruct missing information, enabling us to hear frequencies that aren't there. Such auditory illusions are exploited by composers and instrument makers.

Atonal music: Modern concert music is often atonal, deliberately written without a tonal center or key. The composer Arnold Schoenberg used the mathematics of group theory to set up what he called a "pan-tonal" system. Understanding his compositional rules adds a new dimension to the appreciation of this revolutionary music.


In 12 dazzling lectures, How Music and Mathematics Relate gives you a new perspective on two of the greatest achievements of human culture: music and mathematics. At 45 minutes each, these lectures are packed with information and musical examples from Bach, Mozart, and Tchaikovsky to haunting melodies from China, India, and Indonesia. There are lively and surprising insights for everyone, from music lovers to anyone who has ever been intrigued by mathematics. No expertise in either music or higher-level mathematics is required to appreciate this astonishing alliance between art and science.

A Unique Teacher
It is a rare person who has the background to teach both of these subjects. But How Music and Mathematics Relate presents just such an educator: David Kung, Professor of Mathematics at St. Mary's College of Maryland, one of the nation's most prestigious public liberal arts colleges. An award-winning teacher, mathematician, and musician, Professor Kung has studied the violin since age four, and he followed the rigorous track toward a concert career until he had to choose which love-music or mathematics-would become his profession and which his avocation. At St. Mary's College, he combines both, using his violin as a lecture tool to teach a popular course on the mathematical foundations of music. He even has students invent new musical instruments based on mathematical principles.

Lectures
1 Overtones-Symphony in a Single Note
2 Timbre-Why Each Instrument Sounds Different
3 Pitch and Auditory Illusions
4 How Scales Are Constructed
5 How Scale Tunings and Composition Coevolved
6 Dissonance and Piano Tuning
7 Rhythm-From Numbers to Patterns
8 Transformations and Symmetry
9 Self-Reference from Bach to Gödel
10 Composing with Math-Classical to Avant-Garde
11 The Digital Delivery of Music
12 Math, Music, and the Mind

Technical Info (from one representative file):
General
Complete name : 01 Overtones--”Symphony in a Single Note.mp4
Format : MPEG-4
Codec ID : M4V
File size : 315 MiB
Duration : 47mn 56s
Overall bit rate mode : Variable
Overall bit rate : 918 Kbps
Movie name : DVD_1_MUSIC_AND_MATH.Title3.DVDRip
Album : DVD_1_MUSIC_AND_MATH
Writing application : Lavf53.21.0

Video
ID : 1
Format : MPEG-4 Visual
Format profile : Simple@L1
Format settings, BVOP : No
Format settings, QPel : No
Format settings, GMC : No warppoints
Format settings, Matrix : Default (H.263)
Codec ID : 20
Duration : 47mn 56s
Bit rate mode : Constant
Bit rate : 818 Kbps
Width : 426 pixels
Height : 320 pixels
Display aspect ratio : 4:3
Frame rate mode : Constant
Frame rate : 29.970 fps
Color space : YUV
Chroma subsampling : 4:2:0
Bit depth : 8 bits
Scan type : Progressive
Compression mode : Lossy
Bits/(Pixel*Frame) : 0.200
Stream size : 281 MiB (89%)
Writing library : Lavc53.36.0

Audio
ID : 2
Format : AAC
Format/Info : Advanced Audio Codec
Format profile : LC
Codec ID : 40
Duration : 47mn 54s
Bit rate mode : Variable
Bit rate : 96.0 Kbps
Channel(s) : 2 channels
Channel positions : Front: L R
Sampling rate : 48.0 KHz
Compression mode : Lossy

Code:

http://uploaded.net/file/eeg7ujla/TTC%20Video-How%20Music%20and%20Mathematics%20Relate.part1.rar
http://uploaded.net/file/kd5wzik7/TTC%20Video-How%20Music%20and%20Mathematics%20Relate.part2.rar
http://uploaded.net/file/zx3yj0vs/TTC%20Video-How%20Music%20and%20Mathematics%20Relate.part3.rar
http://uploaded.net/file/3cqav2v2/TTC%20Video-How%20Music%20and%20Mathematics%20Relate.part4.rar
http://uploaded.net/file/krld8mdy/TTC%20Video-How%20Music%20and%20Mathematics%20Relate.part5.rar
http://uploaded.net/file/wtx9r4s4/TTC%20Video-How%20Music%20and%20Mathematics%20Relate.part6.rar

For other news, visit my profile! Update daily!

[ginter]

YUP, sorry I didn't read your complete text, because I have an answer.

E=mc2 and Fibonacci it is a way to represent the experience everything.

So enjoy music too. Mathematics represents it in mathematical way, but it is an impression for human and animals.

You can use it in informatics too.

[GoodyGreen]

Interesting.. Thanks for the upload

[GoodyGreen]

Interesting.. Thanks for the upload

[GoodyGreen]

Interesting.. Thanks for the upload