1. in Major and Minor Modes Musical Math Moods Arjan Khalsa CEO, Conceptua Math

2. Winter Math Sacramento, CA Daylight : Darkness Dark Daylight Jan Feb Mar Apr May June Jul Aug Sep Oct Nov Dec Temperature Sunset Sunrise

3. Singing Lifts the Spirit...... and connects math to real life.

4. Sleigh bells ring, are you listenin’ In the lane, snow’s a glistenin’ A beautiful sight, we’re happy tonight Walkin’ in a winter wonderland Winter Wonderland

5. Sleigh bells ring, are you listenin’ In the lane, snow’s a glistenin’ A beautiful sight, we’re happy tonight Walkin’ in a winter wonderland

6. Middle C is 262 pulses per second 262 hertz

7. Major Scale Math 262 1/1 295 9/8 328 5/4 350 4/3 392 3/2 437 5/3 490 15/8 524 2/1 Fraction Hertz

8. C Major Chord Math C Note Molecular Pattern C E G 262 1/1 1 328 5/4 3 392 3/2 5 524 2/1 8 0.0000.0050.0100.0150.0200.0250.030 Seconds Chord Structure: 1, 3, 5 and octave

9. All the leaves are brown And the sky is gray I went for a walk On a winter’s day I’d be safe and warmer If I were in LA

10. All the leaves are brown And the sky is gray I went for a walk On a winter’s day I’d be safe and warmer If I were in LA

11. Minor Chord Math 262 1/1 1 392 3/2 5 524 2/1 8 328 5/4 3 262 1/1 1 392 3/2 5 524 2/1 8 314 6/5 flat 3 Major Chord Minor Chord Interval = 66 Interval = 52

12. Minor Chord Molecules 8 Note Molecular Pattern 1 Minor 3 5 262 1/1 1 392 3/2 5 524 2/1 8 Minor Chord 314 6/5 flat 3 A smaller interval means that fewer molecules reach your eardrum. Major 3

13. The Blues = Minor 3 rd + Major 3 rd Major ChordMinor Chord Blues Chord

14. Clap Along! Blues Chord

15. Major 3 rd + Minor 3 rd = HappySad The Blues

16. Gospel: Spiritual Rhythm and Blues Blues chords, “jazz” chords Religious hymns Swing the beat Voices slide around the scale as in the blues

18. Bluesy, Gospel Version Using blues chords, or “jazz” chords F7 G9 C9 Dm7 Encourages vocal sliding between major and minor modes.

19. Sing Along! Amazing grace! How sweet the sound That saved a wretch Like me! I once was lost, But now am found; Was blind, But now I see.

20. Sing Along! Amazing grace! How sweet the sound That saved a wretch Like me! I once was lost, But now am found; Was blind, But now I see.

21. The Moods, the Music, and the Math are One Arjan Khalsa akhalsa@conceptuamath.com @arjankhalsa