UCI Introduction to Pitch Systems in Tonal Music

UCI Introduction to Pitch Systems in Tonal Music

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 00. Pitch Systems in Tonal Music — Introduction —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA

License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu

Description: This presentation is a course overview of what topics will be covered for this series. This series will introduce basic concepts such as pitch systems, frequency, triads, tonal harmony, and Pythagorean sets.

Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 01. Pitch Systems in Tonal Music — Basic Concepts —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA
License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu
Description: This presentation defines basic terms and compares the range of audible sound to the visual spectrum. The fundamental principles of sound waves are illustrated and the simplified waves (sine waves) used throughout the series are explained.
Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 02. Pitch Systems in Tonal Music — The Octave and Just Intervals —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA

License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu

Description: This presentation explains the octave, a 2:1 ratio of frequencies, and octave equivalence, the core concept in tonal systems. An oscilloscope is used to visualize various musical ratios including the perfect fifth and perfect fourth. The connection is made between musical intervals and simple whole number ratios.

Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 03. Pitch Systems in Tonal Music — Octave equivalence, circular pitch systems, and the major triad —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA

License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu

Description: This presentation will expand the concept of octaves as a spectrum to incorporate the circle of fifths, a common diagram for study of music theory. Understanding the circle of fifths leads to a larger realization; tonal pitch systems are circular. The 5:4 major third will be added to the set of simple number ratio intervals we’ve studied, 2:1, 3:2, and 4:3. This new interval will allow us to form a major triad and open a new avenue for exploration of tonal pitch systems.

Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 04. Pitch Systems in Tonal Music — Circular Pitch Systems and the Triad —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA

License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu

Description: This presentation will demonstrate how the 4:5:6 ratio known as a major triad works within the circular pitch system of tonal music. The concept of I, IV, and V (1, 4, and 5) harmonic functions will be explained using the basic mathematical structures already demonstrated.

Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 05. Pitch Systems in Tonal Music — Building a Diatonic Set with 3:2 Ratios —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA

License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu

Description: This presentation shows how 3:2 frequency ratios can be stacked to form a major scale (also known as a diatonic scale, diatonic collection, or diatonic set). Now we’ve progressed to the point of generating functional sets of frequencies–scales–using simple math and an understanding of how tonal pitch systems work. This kind of approach to creating a scale is known as Pythagorean tuning.

Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 06. Pitch Systems in Tonal Music — Pythagorean Tuning and the Pure Triad —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA

License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu

Description: This presentation explores how the major triads formed by the Pythagorean tuning system sound when compared with pure 4:5:6 major triads. The differences are subtle, but easy to hear and see using an oscilloscope, and begin to complicate the apparently simple system of using 3:2 and 4:5:6 ratios to form a tonal pitch system.

Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 07. Pitch Systems in Tonal Music — The Minor Triad and a Circular System of Thirds —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA

License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu

Description: This presentation introduces the 6:5 minor third and 10:12:15 minor triad. The tonal pitch system uses major and minor triads, and the pitch system in use has to accommodate this. These sounds and ratios lead to the construction of a diatonic circle of thirds and a further goal; tune a diatonic set so that all I IV V major and i iv v minor triads are pure whole number ratios.

Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 08. Pitch Systems in Tonal Music — Tuning with Pure Major and Minor Triads —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA

License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu

Description: This presentation uses 3:2 ratios to create a 12-tone set very much like the twelve tone chromatic system in common use today. Despite its out-of-tune triads, this scale seems very functional but suffers from a gap in its frequencies, another comma, meaning it is not circular. Since the tonal pitch system relies on circularity (the ability to modulate from any key center to another without adjusting the tuning system), it becomes clear that although fifths and triads sound best when tuned to simple ratios some adjustment will have to be made to these pure ratios to make a truly circular pitch system.

Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).

UCI Introduction to Pitch Systems in Tonal Music (Fall 2012)
Lec 09. Pitch Systems in Tonal Music — A 12-Tone Pythagorean Set —
View the complete course: http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html
Instructor: John Crooks, MFA
License: Creative Commons BY-NC-SA
Terms of Use: http://ocw.uci.edu/info.
More courses at http://ocw.uci.edu
Description: This presentation uses 3:2 ratios to create a 12-tone set very much like the twelve tone chromatic system in common use today. Despite its out-of-tune triads, this scale seems very functional but suffers from a gap in its frequencies, another comma, meaning it is not circular. Since the tonal pitch system relies on circularity (the ability to modulate from any key center to another without adjusting the tuning system), it becomes clear that although fifths and triads sound best when tuned to simple ratios some adjustment will have to be made to these pure ratios to make a truly circular pitch system.
Required attribution: Crooks, John. Introduction to Pitch Systems in Tonal Music (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/introduction_to_pitch_systems_in_tonal_music.html [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/deed.en_US).