Math Rock Guitar Riffs: Writing Techniques Explained

Sixteenth notes receive one-quarter of a beat each. In 4/4 time, each beat is divided into four parts. The counting pattern is 1 e & a 2 e & a 3 e & a 4 e & a, where 'e' represents the first eighth of the beat, '&' represents the second eighth, and 'a' represents the third eighth.

Sixteenth notes divide each quarter note into four parts, resulting in 16 notes per measure. The counting pattern becomes '1 e & a 2 e & a 3 e & a 4 e & a' (one-e-and-a-two-e-and-a-three-e-and-a-four-e-and-a). This creates an even faster subdivision of the tempo. The instructor notes that counting methods can vary, with some people using English counting ('one-and-two-and') while others use Spanish counting.

Sixteenth notes (semi-quavers) are created by dividing a quarter note beat into four equal subdivisions, resulting in sixteen notes per bar in 4/4 time. The verbal counting system is '1 e and a 2 e and a 3 e and a 4 e and a'. There are only six main rhythmic cells for a single beat: four sixteenth notes in a row, three different three-note combinations, and two different two-note combinations. Each rhythm should be practiced in isolation, learning how to count, play, and feel them. Practice involves tapping the foot to the quarter note pulse while counting sixteenth notes, then shifting between quarter note, eighth note, and sixteenth note counting. The key is to see a single beat and recognize these patterns rather than thinking of hundreds of different combinations.

An eighth and sixteenth note combo rhythm contains both note types within one beat. Since they are beamed together, they equal one beat. When subdividing by sixteenths, an eighth note takes up two sixteenth note subdivisions. The counting pattern is '1 e and uh', where the 'e' represents the first sixteenth note and the 'uh' represents the second sixteenth note. Internalizing this rhythm with sounds like 'babba' helps develop muscle memory.

This section teaches the essential skill of counting rhythm to maintain accurate tempo. Verbal counting (counting aloud) helps synchronize hand movements with the underlying pulse. For quarter notes, count '1, 2, 3, 4'. For eighth notes, count '1 and 2 and 3 and 4 and' to add subdivisions between beats. For sixteenth notes, count '1 e & a 2 e & a 3 e & a 4 e & a' with four subdivisions per beat. For 32nd notes, count '1 2 3 4 5 6 7 8' for eight subdivisions per beat. This counting method allows drummers to practice patterns at any subdivision level by coordinating hand movements with the verbal count.

In music theory, consonant intervals (unison, third, fifth, octave) create stable sounds that can resolve phrases, while dissonant intervals (second, seventh, fourth) create tension requiring resolution; consonance is directly connected to triad membership, where notes in root position triads are consonant, first inversion triads are somewhat consonant, and second inversion triads are dissonant.

Consonant intervals are those that sound stable and pleasant: major and minor thirds, major and minor sixths, perfect fourths, perfect fifths, and octaves. These intervals are consonant because their harmonic frequencies align well with each other. Dissonant intervals are those that sound unstable and create tension: seconds, sevenths, and the perfect fourth when it occurs in the bass. These intervals are dissonant because their harmonic frequencies clash.

Intervals are classified as consonant (pleasant, stable) or dissonant (unpleasant, unstable). Consonant intervals include: unison, octave, perfect fourth, perfect fifth, major and minor thirds, and major and minor sixths. Dissonant intervals include: seconds, sevenths, and the tritone. Historically, the perfect fourth was considered dissonant and required resolution, but in modern theory it is classified as consonant. The classification affects how intervals are used in harmony and composition, with consonant intervals providing stability and dissonant intervals creating tension.

Consonance and dissonance are fundamental concepts in music theory describing how harmonic intervals sound. Consonant intervals create smooth, stable sounds while dissonant intervals produce tense, unstable sounds. Consonant intervals include perfect intervals (unison, octave, fourth, fifth) and imperfect intervals (major/minor thirds, major/minor sixths). Dissonant intervals are categorized as neutral (augmented/diminished), soft (minor second, major seventh), and strong (major second, minor seventh). Understanding this distinction is essential for analyzing and composing music, as composers use consonant intervals for resolution and dissonant intervals to create dramatic tension and forward motion.

Intervals are classified into consonant and dissonant categories based on their acoustic compatibility. Consonant intervals have greater affinity between sounds, with a stronger relationship of 'love' between the notes. Dissonant intervals combine with more beating and friction between the vibrations of sound waves. Consonant intervals are those that sound more stable and harmonious when played together, while dissonant intervals create tension and instability.

This video teaches four universal chord shapes that allow guitarists to play any major or minor chord anywhere on the fretboard: (1) Major chords with root on the 6th string, starting from E major and sliding the hand to reach F, G, A, and other major chords; (2) Minor chords with root on the 5th string, created by moving the major chord shape one string down; (3) Major chords with root on the 5th string, requiring three fingers on the same fret; (4) Minor chords with root on the 6th string, using a simpler two-finger shape. The instructor explains that understanding musical intervals (half steps between E-F and B-C, full steps elsewhere) and memorizing key fret positions (3rd and 7th frets on 5th and 6th strings) makes learning these shapes much easier.

For the A major shape, the major scale pattern is: Starting from the root note (tônica), use fingers 2-4 on the 5th string, 1-2-4 on the 4th string, 1-3-4 on the 3rd string, then on the 2nd string, move up a half tone and use 1-3-4, and finally 1-3 on the 1st string. The root note (tônica) is always on the 2nd finger of the 5th string. By learning the major scale patterns within the E major and A major chord shapes, you can play the major scale in any position on the guitar fretboard. The major scale is the sovereign scale of guitar because 99% of song melodies use notes from this scale. When playing a song, the vocal melody notes will almost always be found within the major scale of that song's key.

The major scale is the single most important scale for understanding music, consisting of seven notes with a specific interval pattern: whole step, whole step, half step, whole step, whole step, whole step, half step. On guitar, a whole step equals two frets and a half step equals one fret. The scale follows the pattern: 1, 2, 3, 4, 5, 6, 7, then back to 1. Triads follow a consistent pattern: 1=major, 2=minor, 3=minor, 4=major, 5=major, 6=minor, 7=diminished. Seventh chords follow: 1=major 7, 2=minor 7, 3=minor 7, 4=major 7, 5=dominant 7, 6=minor 7, 7=half diminished. These patterns remain consistent across all keys and can be played in the same shape on the fretboard.

The fretboard serves as the fundamental language of guitar, containing 12 chromatic notes (A-G with sharps/flats) that repeat on every string. One fret equals a half step, two frets equal a whole step. Unisons are located using the '54 determinator' (move back 5 or 4 frets depending on the string), while octaves follow specific shapes. The major scale formula (whole-whole-half-whole-whole-whole-half) creates seven notes following alphabetical order, determining whether notes become sharps or flats. It establishes definitive intervals from the root: major second, major third, perfect fourth, perfect fifth, major sixth, major seventh, and octave. The scale can be mapped into seven fretboard patterns spanning three to five frets, each named after the scale tone it begins with. These patterns are interchangeable across all 12 keys and should be practiced with alternate picking and metronome guidance.

The guitar fretboard contains all 12 notes of the chromatic scale (C, C#, D, D#, E, F, F#, G, G#, A, A#, B). The major scale follows a skip pattern: play, skip, skip, play, skip, skip, skip. Chords (triads) are formed by the 1st, 3rd, and 5th notes of a scale. The CAGED system provides five chord shapes (C, A, G, E, D) that can be moved across the fretboard to play any chord in any position. This foundational knowledge enables guitarists to understand the entire fretboard and play any chord or scale.