TJ Crow

Mathematical Mysteries of Music

Mysteries Part 1
Mysteries Part 2
Mysteries Part 3
Mysteries Part 4

Part 1 is....
Here's an electronic copy Draft Outline.doc (MS Word) of the draft outline below for ease of editing.



Math Mysteries - Part 1


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0:00
Music is Mathy
03:20
Math as Patternology
04:41
Powers of Two and the Contradance
6:48
Hands Four - counting the contradance on your hands
8:44
Jig vs Reel
10:13
Clapping the Numbers, 2 and 3
13:01
Notes are Vibrations
Speed up 100 times
Inside the ear are the people clapping
Shaped properly



Math Mysteries - Part 2


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0:00
Doh A Deer
3:49
Create Melody with Numbers
10:07
Junk
11:05
Perfect Bodies Pure Tones
Saturated Stimulus
Saturated Color - Pure Tone
Pure tone - Frequency
Multiplication more than addition
Melody - addition
Harmony - multiplication
Log Scale Candles in the room
14:44
misspoke, not "twice as bright" but "twice the stimulus"
http://en.wikipedia.org/wiki/Sound
going from one to ten has the same effect as going from ten to one hundred
log scale on guitar (need chart w guitar fret board along the top)
15:29
Example of non pure tone            
BS, probably setting up the string
16:13
The Rope Trick
Purely shaped body like the string
Each one of these formations has a note
vibe twice as fast
19:05
Harmonic Ratio
1 against 2 gives us the octave
Guitar String harmonic (should mention harmonic sequence)
wiggling vocal chords
22:29
Three
22:29
Three w rope
Three w Guitar String
24:56
Pythagoras
26:49
fifth on top of fifth



Math Mysteries - Part 3


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0:00
Generating the Circle of Fifths
F# and Gb don't match 24 cents, explain cents
3:20
Pythagoras was a nut
explain all of music w 1,2,3
Meanwhile Zeno
5:08
Drawing Clocks
Circle of Fifths is a mathemusical device that reveals patterns
White keys, blacks keys
--need a list of patterns that the Circle of Fifths reveals right away (so it even explains major and minor… but we'll see later that there's another pattern that explains it better.)
Harmonic Arrangement rather than melodic,
--Here's where we could be drawing clocks
8:40
At the Heart of Music is a Stunning Mathematical Coincidence
Hearing Space in a Logarithmic Space
--Read up on Temperament, get the book
--Need to play just intonation, need to hear it
--get the formula right, bonehead!
11:30
This is where we culturally threw up our hands and said we want Jazz and Whole Tone Scales and other things that are beautiful because they are evenly spaced.
This is the coincidence that allows us to swing around the circle freely
--Super impose the just intoned circles
15:20
Zeno and the Fifth Harmonic
Higher numbers on the string,
4 is octave above an octave
5 is prime, so not related to any tone before it
A Fifth is based on 3 and a Third is based on 5
18:41
Zeno was playing the 5, Pythagoras was insisting on the 3 since it was "purer" (Although we begin by talking about pure tones, we'll see that the idea of purity can be taken too far -- an idea of purity that's not tied to our senses.)



Math Mysteries - Part 4


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0:00
Zeno says are ears react also to the number 5
Different way to arrange the notes
5 Limit Lattice
Pentamerous
4:08
Overtone vs Reciprocal
Sing against the drone
--- do it !?
Major Minor patterns, church modes
The Well Tempered Donut (uhooh!)
6:46
Recap: -- dev this further
We react emotionally thru the way our ears react to those numbers
Culture vs Materialistic Theory
Math doesn't need to be right, as patternology math is just a way to help you detect patterns to create certain effects
8:56
Church Modes
Harmonic arrangement instead of Melodic arrangement reveals a pattern that creates an effect.
14:48
Questions