Tonal Harmony Chapter 1 Elements of Pitch
... Measurement of the distance in pitch between two notes A harmonic interval results when the notes are performed at the same time A melodic interval occurs when the notes are played successively The method of measuring for both type of intervals are the same Two parts to any interval name: ...
... Measurement of the distance in pitch between two notes A harmonic interval results when the notes are performed at the same time A melodic interval occurs when the notes are played successively The method of measuring for both type of intervals are the same Two parts to any interval name: ...
Harvard
... intervals and chords, however, is unmistakable. The simple-ratio intervals upon which Just Intonation is based are the fundamental constituents of melody and harmony. They are what the human auditory system recognizes as consonance, if it ever has the opportunity to hear them in a musical context. T ...
... intervals and chords, however, is unmistakable. The simple-ratio intervals upon which Just Intonation is based are the fundamental constituents of melody and harmony. They are what the human auditory system recognizes as consonance, if it ever has the opportunity to hear them in a musical context. T ...
Popular Music Theory - The Academy Of Popular Music
... You can also beam 4 semiquavers together that start on a beat but you should not beam together semiquavers that belong to 2 different beats. ...
... You can also beam 4 semiquavers together that start on a beat but you should not beam together semiquavers that belong to 2 different beats. ...
Music, Cognition, and Computerized Sound: Chap14
... than a minor third and greater than a whole tone. For lower frequencies the critical bandwidth is larger. It is about 100 Hz at the bottom of the piano keyboard (A0, 27.5 Hz). If two notes closer than a minor third are played at the same time, we may expect some harshness or dissonance from interact ...
... than a minor third and greater than a whole tone. For lower frequencies the critical bandwidth is larger. It is about 100 Hz at the bottom of the piano keyboard (A0, 27.5 Hz). If two notes closer than a minor third are played at the same time, we may expect some harshness or dissonance from interact ...
Stiff-string theory: Richard Feynman on piano tuning
... to get, say, to G7 (I mean by what beats) and what the wire gauges are (or better what their diameters are) I can get a better figure for how far it will be off. I haven’t tried to figure it for the bass strings. Another effect that might alter things is the “give” of the sounding board. The end pin ...
... to get, say, to G7 (I mean by what beats) and what the wire gauges are (or better what their diameters are) I can get a better figure for how far it will be off. I haven’t tried to figure it for the bass strings. Another effect that might alter things is the “give” of the sounding board. The end pin ...
Physics 193 Physics of Music
... 10. Go up a 5th from F#. This is the note B#, with frequency 3/2 • 729/512 f = 2187/1024 f. > 2f (= high C)! This key doesn’t exist on the piano! B# is the enharmonic equivalent to C, but it is not the note C in the Pythagorean musical scale! We have more problems – start with F and use the circle o ...
... 10. Go up a 5th from F#. This is the note B#, with frequency 3/2 • 729/512 f = 2187/1024 f. > 2f (= high C)! This key doesn’t exist on the piano! B# is the enharmonic equivalent to C, but it is not the note C in the Pythagorean musical scale! We have more problems – start with F and use the circle o ...
Major (our most common scale)
... Nadia Boulanger. He also participated in seminars at the Sorbonne in Paris and at the University of Oxford in England. Danza was first performed in April 1971. This piece has three contrasting sections: Adagio, Allegro, and Vivo. Nelhybel’s affinity for Renaissance and Baroque period music is eviden ...
... Nadia Boulanger. He also participated in seminars at the Sorbonne in Paris and at the University of Oxford in England. Danza was first performed in April 1971. This piece has three contrasting sections: Adagio, Allegro, and Vivo. Nelhybel’s affinity for Renaissance and Baroque period music is eviden ...
VAN TECH MUSIC MUSIC THEORY LEARNING GUIDE Level IIA
... The Level IIA program is intended for students in Senior Concert Band, Senior Orchestra and members of Concert Choir, Chamber Choir and Vocal Jazz. The program focuses on simple skills of reading, notation and the language of music. Activities are noted in each section of this program guide and will ...
... The Level IIA program is intended for students in Senior Concert Band, Senior Orchestra and members of Concert Choir, Chamber Choir and Vocal Jazz. The program focuses on simple skills of reading, notation and the language of music. Activities are noted in each section of this program guide and will ...
Chapter 8 Intervals - G Major Music Theory
... • A perfect interval is a 4th, 5th or 8ve in which the top note is in the scale (or key) of the bottom note. Compared to a perfect interval with the same letter names... • an augmented interval is a half-step larger than the perfect interval • a diminished interval is a half-steps smaller than the p ...
... • A perfect interval is a 4th, 5th or 8ve in which the top note is in the scale (or key) of the bottom note. Compared to a perfect interval with the same letter names... • an augmented interval is a half-step larger than the perfect interval • a diminished interval is a half-steps smaller than the p ...
Musical Harmony, Mathematics, and Esotericism
... The basic building block of music is the note. A note has several characteristics, including pitch, duration, volume (“loudness”), and timbre. In modern western music, notes are discrete frequencies that lie on a scale. The seven white notes on a piano are designated A through G, whereupon the next ...
... The basic building block of music is the note. A note has several characteristics, including pitch, duration, volume (“loudness”), and timbre. In modern western music, notes are discrete frequencies that lie on a scale. The seven white notes on a piano are designated A through G, whereupon the next ...
Math 403 SOLUTIONS FOR HWK #4 RATIONAL, ALGEBRAIC
... Provide a straightforward proof of the statement: a union of disjoint open intervals is an open set. Solution. If x belongs to a union of intervals, it is contained in some interval (a, b). According the statement in Problem D2, this interval is open so it contains a ball (x − r, x + r) centered at ...
... Provide a straightforward proof of the statement: a union of disjoint open intervals is an open set. Solution. If x belongs to a union of intervals, it is contained in some interval (a, b). According the statement in Problem D2, this interval is open so it contains a ball (x − r, x + r) centered at ...
1 Basic Tuning for the Autoharp Introduction Setting The Foundation
... fifths of the chromatic scale in a circle. The sequence would be equivalent to C-G-D-A-E-B-F#-Db-Ab-Eb-Bb-F- and back to C, with, in this format, the fifth interval represented by a dash. Key - one of twelve possible unique diatonic major scales, each customarily named for the starting note (do) fro ...
... fifths of the chromatic scale in a circle. The sequence would be equivalent to C-G-D-A-E-B-F#-Db-Ab-Eb-Bb-F- and back to C, with, in this format, the fifth interval represented by a dash. Key - one of twelve possible unique diatonic major scales, each customarily named for the starting note (do) fro ...
Scales in Music
... Notice carefully that frequency-differences per se are musically irrelevant; only frequency-ratios matter. Another way to describe this is that a musical scale is a logarithmic scale, which is a special kind of interval scale. For example, if we take base-2 logarithms of the various ratios above, we ...
... Notice carefully that frequency-differences per se are musically irrelevant; only frequency-ratios matter. Another way to describe this is that a musical scale is a logarithmic scale, which is a special kind of interval scale. For example, if we take base-2 logarithms of the various ratios above, we ...
Unit 4 - Intervals
... More Things to Keep In Mind… IF an interval is perfect, THEN BOTH the top and bottom pitch is in the other’s major key. IF the same accidental is added to both the upper and lower pitch, THEN the interval remains the same. IF an accidental is added only to the bottom pitch, THEN the accidental h ...
... More Things to Keep In Mind… IF an interval is perfect, THEN BOTH the top and bottom pitch is in the other’s major key. IF the same accidental is added to both the upper and lower pitch, THEN the interval remains the same. IF an accidental is added only to the bottom pitch, THEN the accidental h ...
Lec2
... – The interval between any two consecutive notes of the chromatic scale – On a keyboard, the distance between any note and the note nearest to it, black or white ...
... – The interval between any two consecutive notes of the chromatic scale – On a keyboard, the distance between any note and the note nearest to it, black or white ...
ASSESSING THE TUNING OF SUNG INDIAN CLASSICAL MUSIC
... study the shrutis in Hindustani music. Among other results, they report a slightly better fit for 12 interval scales compared to 22 shruti scales in [2]. However, no substantial differences were found between the considered scales (including the 12-interval equal-tempered one). In subsequent papers ...
... study the shrutis in Hindustani music. Among other results, they report a slightly better fit for 12 interval scales compared to 22 shruti scales in [2]. However, no substantial differences were found between the considered scales (including the 12-interval equal-tempered one). In subsequent papers ...
Introduction - Dartmouth Math Home
... scale (Loy 69). The goal of this scale is to have a scale that has intervals that are close to the just ratios but to also be easily transposable (69). The major thirds create irrational ratios for semitones, which makes transposition difficult. The thirds also slightly compromise the 3:2 ratio of t ...
... scale (Loy 69). The goal of this scale is to have a scale that has intervals that are close to the just ratios but to also be easily transposable (69). The major thirds create irrational ratios for semitones, which makes transposition difficult. The thirds also slightly compromise the 3:2 ratio of t ...
ZCHS Performing Arts Department 2015-2016
... Tie: two notes of the same pitch joined by a curved line over or under the note. Each note joined by a tie is held for it's full value but only the first note is played or sing Time signature appears at beginning of music, too number tells how many beats per measure, lower number indicates what type ...
... Tie: two notes of the same pitch joined by a curved line over or under the note. Each note joined by a tie is held for it's full value but only the first note is played or sing Time signature appears at beginning of music, too number tells how many beats per measure, lower number indicates what type ...
Advanced Ensemble Exams – Semester II (50 questions)
... Tie: two notes of the same pitch joined by a curved line over or under the note. Each note joined by a tie is held for it's full value but only the first note is played or sing Time signature appears at beginning of music, too number tells how many beats per measure, lower number indicates what type ...
... Tie: two notes of the same pitch joined by a curved line over or under the note. Each note joined by a tie is held for it's full value but only the first note is played or sing Time signature appears at beginning of music, too number tells how many beats per measure, lower number indicates what type ...
non-serial criteria in the pitch organization of webern`s twelve
... Interval analysis of this kind can only be applied to works that do not give harmonic functions to any of their chords or notes. Functional harmony gives a collective identity to harmonic fields in which each note has its hierarchically defined function. Since tonality is based on a scale that repro ...
... Interval analysis of this kind can only be applied to works that do not give harmonic functions to any of their chords or notes. Functional harmony gives a collective identity to harmonic fields in which each note has its hierarchically defined function. Since tonality is based on a scale that repro ...
paper - Personal Web Pages
... Musicians can match, play or sing in concert with pitchadjusted musical tones that do not conform to 12Tet; however, the standard music notation they read and the ways they read it assume 12Tet. There is no standard for indicating the exact measurements in cents of pitch adjustments that deviate fro ...
... Musicians can match, play or sing in concert with pitchadjusted musical tones that do not conform to 12Tet; however, the standard music notation they read and the ways they read it assume 12Tet. There is no standard for indicating the exact measurements in cents of pitch adjustments that deviate fro ...
Intervals - cshchoir.org
... More Things to Keep In Mind… IF an interval is perfect, THEN BOTH the top and bottom pitch is in the other’s major key. IF the same accidental is added to both the upper and lower pitch, THEN the interval remains the same. IF an accidental is added only to the bottom pitch, THEN the accidental h ...
... More Things to Keep In Mind… IF an interval is perfect, THEN BOTH the top and bottom pitch is in the other’s major key. IF the same accidental is added to both the upper and lower pitch, THEN the interval remains the same. IF an accidental is added only to the bottom pitch, THEN the accidental h ...
Music, Mathematics and Bach --------~--------
... going up successive fifths (that is, multiplying its frequency by 3/2 and dividing when necessary by 2 to keep it within the octave). This is called the Pythagorean scale; the reader can program a computer to generate sounds of these frequencies, and it is essentially the scale most commonly used in ...
... going up successive fifths (that is, multiplying its frequency by 3/2 and dividing when necessary by 2 to keep it within the octave). This is called the Pythagorean scale; the reader can program a computer to generate sounds of these frequencies, and it is essentially the scale most commonly used in ...
Pythagoras to Secor - Joint Mathematics Meetings
... arises as a consequence of the unique factorization property of integers, applied to the pitches of musical notes. In this talk, we briefly review historically significant temperaments such as Pythagorean tuning and 12-tone equal temperament. We then introduce George Secor’s ”miracle temperament.” D ...
... arises as a consequence of the unique factorization property of integers, applied to the pitches of musical notes. In this talk, we briefly review historically significant temperaments such as Pythagorean tuning and 12-tone equal temperament. We then introduce George Secor’s ”miracle temperament.” D ...