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

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$^\circ$

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

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

wikipedia: Scale of harmonics

throat-singing

Tuvan throat singing

V → I progression, “resolution”

IV → I progression, “amen”

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

How can a composer tell a story?