Tuning Systems & Interval Ratios - Revision history

TobyRush: 15 revisions imported

2024-12-21T19:04:41Z

15 revisions imported

← Older revision	Revision as of 19:04, 21 December 2024
(No difference)

TobyRush: /* Objectives */

2021-11-05T15:43:56Z

Objectives

← Older revision		Revision as of 15:43, 5 November 2021
Line 9:		Line 9:
	*Student will have a basic understanding of tuning discrepancies based on harmonics and interval ratios		*Student will have a basic understanding of tuning discrepancies based on harmonics and interval ratios
	*Student will understand the concept of beats and how they are used to tune an instrument		*Student will understand the concept of beats and how they are used to tune an instrument
	*Student will be exposed to tuning variations in Indian Raga, Javanese Gamelan, and Maqam		*Student will be exposed to tuning variations and fluidity in Indian Raga, Javanese Gamelan, Mariachi, Tuva Throat Singing, and Maqam
	*Student will understand the relationship between diatonic intervals and frequency ratios		*Student will understand the relationship between diatonic intervals and frequency ratios
	*Student will be able to derive intervals from frequency calculations		*Student will be able to derive intervals from frequency calculations

Stefacev: /* Readings */

2020-11-16T02:25:07Z

Readings

← Older revision		Revision as of 02:25, 16 November 2020
Line 17:		Line 17:
	====Readings====		====Readings====

	*[https://drive.google.com/~~drive~~/u/0/~~folders/10W7zTPwCO6gKmBoFYSRYdVdscSgKSFzD~~ Handout on Simple Intervals and the Harmonic Series]		*[https://drive.google.com/file/d/1YX8hD26kSaUAQXP4VbYRuwUqggBNoisd/view?usp=sharing Handout on Simple Intervals and the Harmonic Series]
	*[https://www.kylegann.com/microtonality.html Gann, "Information on Alternate Tunings"]		*[https://www.kylegann.com/microtonality.html Gann, "Information on Alternate Tunings"]
	*''Music Crash Courses'': [http://www.musiccrashcourses.com/lessons/tuning_systems.html Tuning Systems]		*''Music Crash Courses'': [http://www.musiccrashcourses.com/lessons/tuning_systems.html Tuning Systems]
Line 66:		Line 66:

	*Demonstration of different tuning systems and temperaments		*Demonstration of different tuning systems and temperaments
	*Demonstration of interval ratios using a monochord.		*Demonstration of interval ratios using a monochord.
	*Calculation of intervals using just intonation ratios - discussion of tuning discrepancies		*Calculation of intervals using just intonation ratios - discussion of tuning discrepancies
	*Demonstration of beats		*Demonstration of beats

Stefacev: /* Class Activities */

2020-11-16T02:23:43Z

Class Activities

← Older revision		Revision as of 02:23, 16 November 2020
Line 66:		Line 66:

	*Demonstration of different tuning systems and temperaments		*Demonstration of different tuning systems and temperaments
			*Demonstration of interval ratios using a monochord.
	*Calculation of intervals using just intonation ratios - discussion of tuning discrepancies		*Calculation of intervals using just intonation ratios - discussion of tuning discrepancies
	*Demonstration of beats		*Demonstration of beats

Stefacev: /* Readings */

2020-07-30T20:33:17Z

Readings

← Older revision		Revision as of 20:33, 30 July 2020
Line 25:		Line 25:
	**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2C_Consonance-Dissonance.html Chapter 2C: Consonance and Dissonance]		**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2C_Consonance-Dissonance.html Chapter 2C: Consonance and Dissonance]
	**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2E_JustIntonation.html Chapter 2E: Just Intonation]		**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2E_JustIntonation.html Chapter 2E: Just Intonation]
			**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2M_HarmonicSeries.html Chapter 2M: Harmonic Series]
	**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2D_Pythagorean-Intonation.html Chapter 2D: Pythagorean Intonation]		**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2D_Pythagorean-Intonation.html Chapter 2D: Pythagorean Intonation]
	**Optional Material on Commas - [http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH1/1N_Pythagorean_Comma.html Chapter 1N: The Pythagorean Comma], [http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2F_SyntonicComma.html 3E: The Other Commas]		**Optional Material on Commas - [http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH1/1N_Pythagorean_Comma.html Chapter 1N: The Pythagorean Comma], [http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2F_SyntonicComma.html 3E: The Other Commas]

	====te'''Instructor References'''====		====te'''Instructor References'''====

Stefacev at 20:32, 30 July 2020

2020-07-30T20:32:02Z

← Older revision		Revision as of 20:32, 30 July 2020
Line 15:		Line 15:
	==Resources==		==Resources==

	==== Readings ====		====Readings====

	*[https://drive.google.com/drive/u/0/folders/10W7zTPwCO6gKmBoFYSRYdVdscSgKSFzD Handout on Simple Intervals and the Harmonic Series]		*[https://drive.google.com/drive/u/0/folders/10W7zTPwCO6gKmBoFYSRYdVdscSgKSFzD Handout on Simple Intervals and the Harmonic Series]
Line 21:		Line 21:
	*''Music Crash Courses'': [http://www.musiccrashcourses.com/lessons/tuning_systems.html Tuning Systems]		*''Music Crash Courses'': [http://www.musiccrashcourses.com/lessons/tuning_systems.html Tuning Systems]
	*Lewis, [http://leware.net/temper/temper.htm "Understanding Temperaments"]		*Lewis, [http://leware.net/temper/temper.htm "Understanding Temperaments"]
			*Tobey, ''A Feeling for Harmony'':
			**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH1/1M_RatiosCommas1.html Chapter 1M: Music Math Ratios Part 1]
			**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2C_Consonance-Dissonance.html Chapter 2C: Consonance and Dissonance]
			**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2E_JustIntonation.html Chapter 2E: Just Intonation]
			**[http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2D_Pythagorean-Intonation.html Chapter 2D: Pythagorean Intonation]
			**Optional Material on Commas - [http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH1/1N_Pythagorean_Comma.html Chapter 1N: The Pythagorean Comma], [http://legacy.earlham.edu/~tobeyfo/musictheory/Book1/FFH1_CH2/2F_SyntonicComma.html 3E: The Other Commas]

	==== '''Instructor References''' ====		====te'''Instructor References'''====

	* Wolfe, ''Physclips'': [https://www.animations.physics.unsw.edu.au/jw/Tartini-tones-temperament.html Tartini Tones, Consonance, Temperament, Harmony, And Scales]		*Wolfe, ''Physclips'': [https://www.animations.physics.unsw.edu.au/jw/Tartini-tones-temperament.html Tartini Tones, Consonance, Temperament, Harmony, And Scales]
	* Forster, Excerpts from ''Musical Mathematics:''		*Forster, Excerpts from ''Musical Mathematics:''
	** [https://www.chrysalis-foundation.org/musical-mathematics-pages/just-intonation/ Just Intonation]		**[https://www.chrysalis-foundation.org/musical-mathematics-pages/just-intonation/ Just Intonation]
	** [https://www.chrysalis-foundation.org/musical-mathematics-pages/origins-of-length-ratios/ Origin of Length Ratios]		**[https://www.chrysalis-foundation.org/musical-mathematics-pages/origins-of-length-ratios/ Origin of Length Ratios]
	** [https://www.chrysalis-foundation.org/musical-mathematics-pages/philolaus-and-euclid/ Greek Classification of Ratios, Tetrachords, Scales, and Modes]		**[https://www.chrysalis-foundation.org/musical-mathematics-pages/philolaus-and-euclid/ Greek Classification of Ratios, Tetrachords, Scales, and Modes]
	* Rubinstein, "[https://www.math.uwaterloo.ca/~mrubinst/tuning/tuning.html Well vs. Equal Temperament"]		*Rubinstein, "[https://www.math.uwaterloo.ca/~mrubinst/tuning/tuning.html Well vs. Equal Temperament"]

	==== '''Listening and Videos''' ====		===='''Listening and Videos'''====

	* Cris Forsters Instruments and Music:		*Cris Forsters Instruments and Music:
	** [https://www.chrysalis-foundation.org/instruments-and-music/chrysalis-i/ Chrysalis (Just Intonation)]		**[https://www.chrysalis-foundation.org/instruments-and-music/chrysalis-i/ Chrysalis (Just Intonation)]
	** [https://www.chrysalis-foundation.org/instruments-and-music/just-keys/ Just Keys (Just Intonation Keyboard)]		**[https://www.chrysalis-foundation.org/instruments-and-music/just-keys/ Just Keys (Just Intonation Keyboard)]
	* The Rasa: [https://www.youtube.com/watch?v=t24geQfXTyA "Microtonal Star Wars Cantina Band"]		*The Rasa: [https://www.youtube.com/watch?v=t24geQfXTyA "Microtonal Star Wars Cantina Band"]
	* 12Tone:		*12Tone:
	** [https://www.youtube.com/watch?v=bWG6CGKMnNA How Many Notes Are There?]		**[https://www.youtube.com/watch?v=bWG6CGKMnNA How Many Notes Are There?]
	** [https://www.youtube.com/watch?v=8syA7S_5E3A Can You Tell These Notes Apart? (The Syntonic Comma)]		**[https://www.youtube.com/watch?v=8syA7S_5E3A Can You Tell These Notes Apart? (The Syntonic Comma)]
	* MinutePhysics: [https://www.youtube.com/watch?v=1Hqm0dYKUx4 Why It's Impossible to Tune a Piano]		*MinutePhysics: [https://www.youtube.com/watch?v=1Hqm0dYKUx4 Why It's Impossible to Tune a Piano]
	* Huykens-Foker Foundation: [http://www.huygens-fokker.org/microtonality/temperament.html Temperament Examples]		*Huykens-Foker Foundation: [http://www.huygens-fokker.org/microtonality/temperament.html Temperament Examples]

	==== Tools ====		====Tools====

	* [https://offtonic.com/synth/index.html Offtonic: Microtonal Synthesizer]		*[https://offtonic.com/synth/index.html Offtonic: Microtonal Synthesizer]
	* Academo: [https://academo.org/demos/19-tet-keyboard/ 19TET Keyboard]		*Academo: [https://academo.org/demos/19-tet-keyboard/ 19TET Keyboard]
	* Sevish: [https://sevish.com/scaleworkshop/ Scale Workshop]		*Sevish: [https://sevish.com/scaleworkshop/ Scale Workshop]
	* Apple Logic Pro Manual: [https://support.apple.com/guide/logicpro/tuning-settings-lgcp452f2693/mac Tuning Settings]		*Apple Logic Pro Manual: [https://support.apple.com/guide/logicpro/tuning-settings-lgcp452f2693/mac Tuning Settings]
	* Norris:		*Norris:
	** [http://www.michaelnorris.info/theory/harmonicseriescalculator Harmonic Series Calculator]		**[http://www.michaelnorris.info/theory/harmonicseriescalculator Harmonic Series Calculator]
	** [http://www.michaelnorris.info/theory/frequencytonoteconverter Frequency to Note Converter]		**[http://www.michaelnorris.info/theory/frequencytonoteconverter Frequency to Note Converter]
	* Wolfram: [https://demonstrations.wolfram.com/PythagoreanMeantoneAndEqualTemperamentMusicalScales/ Pythagorean, Meantone, and Equal Temperament Scales]		*Wolfram: [https://demonstrations.wolfram.com/PythagoreanMeantoneAndEqualTemperamentMusicalScales/ Pythagorean, Meantone, and Equal Temperament Scales]
	* Thompson, [http://micro.soonlabel.com/Scott_Thompson/edjiruler.html Just Intonation Interval Calculator]		*Thompson, [http://micro.soonlabel.com/Scott_Thompson/edjiruler.html Just Intonation Interval Calculator]
	* [http://www.huygens-fokker.org/scala/ Scala] (software)		*[http://www.huygens-fokker.org/scala/ Scala] (software)

	==Class Activities==		==Class Activities==

Stefacev: /* Resources */

2020-07-29T21:37:51Z

Resources

@@ Line 15: / Line 15: @@
 ==Resources==
-*[https://www.kylegann.com/microtonality.html Kyle Gann, "Information on Alternate Tunings"]
+==== Readings ====
 ==Class Activities==

TobyRush: /* Notes */

2020-07-29T19:35:20Z

Notes

← Older revision		Revision as of 19:35, 29 July 2020
Line 29:		Line 29:
	{{FundamentalsSoundMusicNavbox}}		{{FundamentalsSoundMusicNavbox}}
	{{MelodyNavbox}}		{{MelodyNavbox}}
			{{Theory1Navbox}}

	[[Category:Theory 1]]		[[Category:Theory 1]]

TobyRush: /* Notes */

2020-07-29T18:25:51Z

Notes

← Older revision		Revision as of 18:25, 29 July 2020
Line 28:		Line 28:
	==Notes==		==Notes==
	{{FundamentalsSoundMusicNavbox}}		{{FundamentalsSoundMusicNavbox}}
			{{MelodyNavbox}}

	[[Category:Theory 1]]		[[Category:Theory 1]]

TobyRush: /* Notes */

2020-07-29T18:12:57Z

Notes

← Older revision		Revision as of 18:12, 29 July 2020
Line 27:		Line 27:

	==Notes==		==Notes==
			{{FundamentalsSoundMusicNavbox}}

	[[Category:Theory 1]]		[[Category:Theory 1]]
	[[Category:Fundamentals of Sound & Music]]		[[Category:Fundamentals of Sound & Music]]
	[[Category:Acoustics]]		[[Category:Acoustics]]
	[[Category:Harmony]]		[[Category:Harmony]]