Curriculum

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======Music======
scale - different meanings, math, music scale, major, minor, 12-tone, pentatonic

Bobby McFerrin demonstrates the pentatonic scale, and says its universal in all people
https://youtu.be/ne6tB2KiZuk

well-tempered clavier


note	Hz	cm

A4	440.00	78.41
A#4 	466.16	74.01
B4	493.88	69.85
C5	523.25	65.93
C#5 	554.37	62.23

D5	587.33	58.74
D#5 	622.25	55.44
E5	659.25	52.33
F5	698.46	49.39
F#5 	739.99	46.62
G5	783.99	44.01
G#5 	830.61	41.54
A5	880.00	39.20

minor second:   A A# : 466.16 - 440 =  26.16
major second:   A B  : 493.88 - 440 =  53.88 
major third:    A C# : 554.37 - 440 = 114.37
perfect fourth: A D  : 587.33 - 440 = 147.33
perfect fifth:  A E  : 659.25 - 440 = 219.25

Frequencies and wavelengths of the well-tempered scale
https://pages.mtu.edu/~suits/notefreqs.html

Throat singing demo, at 2:40, overtones pentatonic scale
https://www.youtube.com/watch?v=Q3K3RimjsnQ

Throat singing, overtones, demo
https://youtu.be/LCgzLdCWJrE

====Melody====
frequencies - measured in degrees, one frequency for each note

angles - intervals between notes, subtract the frequencies of notes in a chord

"More angular" interval, more dissonance

half-step = 30$^\circ$


====Harmony====

notes that go together, melody in thirds, underlying chord progression

the harmonic series (sequence) - measure and diagram the notes in the chord

[[https://en.wikipedia.org/wiki/Scale_of_harmonics|wikipedia: Scale of harmonics]]

throat-singing

Tuvan throat singing

V -> I progression, "resolution"

IV -> I progression, "amen"


====Rythym====

====Lyric====


====Emotional Content====

How do the patterns in music connect to emotional feelings in the body?

How can a composer tell a story?

==== Songs ====

[[First Circle]]