Literature:Elements of Harmony - Revision history

H. H. P. M. P. Cole: /* Full text (Schlaub) */

2025-01-27T11:57:53Z

Full text (Schlaub)

← Older revision		Revision as of 11:57, 27 January 2025
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	==Full text (Schlaub)==		==Full text (Schlaub)==
	~~''This is a translation (possibly retranslation) of the Classical Windermere text by composer Bag Joh-Än.''~~
	==Full text (Classical Windermere)==		==Full text (Classical Windermere)==

2025-01-10T10:12:31Z

← Older revision		Revision as of 10:12, 10 January 2025
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	Ts-T derives using calculus that the desired function is well-approximated by Taylor polynomials: namely, $log(x+1) = A(x+1) ≈ \sum_{n=1}^{N} (-1)^n \frac{x^n}/{n}$, when $\|x\| < 1$.		Ts-T derives using calculus that the desired function is well-approximated by Taylor polynomials: namely, $log(x+1) = A(x+1) ≈ \sum_{n=1}^{N} (-1)^n \frac{x^n}/{n}$, when $\|x\| < 1$.
	-->		-->
			[[Category:Tricin]]

2025-01-08T07:00:37Z

← Older revision		Revision as of 07:00, 8 January 2025
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	**chord voicings		**chord voicings
	**The tonality diamond is described as a way to "connect" overtone chords/scales over different fundamentals.		**The tonality diamond is described as a way to "connect" overtone chords/scales over different fundamentals.

			Tsăhongtamdi's most influential recommendation was against using fixed-pitch instruments; he argued that they were expressively limited. This recommendation was lasting in influence - most instruments used in traditional Hlou-Shum music are flexible-pitch instruments.

	==Full text (Schlaub)==		==Full text (Schlaub)==

2025-01-08T06:57:45Z

← Older revision		Revision as of 06:57, 8 January 2025
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	'''Elements of Harmony''' ([[Windermere/Classical\|Classical Windermere]]: ''Yămyămał clisăyfäl'') is a textbook on just intonation authored in [[Windermere/Classical\|Classical Windermere]] by physicist, mathematician and composer Tsăhongtamdi covering elementary number theory, acoustics, and just intonation music theory.		'''Elements of Harmony''' ([[Windermere/Classical\|Classical Windermere]]: ''Yămyămał clisăyfäl'') is a textbook on just intonation authored in [[Windermere/Classical\|Classical Windermere]] by physicist, mathematician and composer Tsăhongtamdi covering elementary number theory, acoustics, and just intonation music theory.

			Supporters of [[Verse:Tricin/Plud Schrog-Hahn\|Soha Plu]] believe that the text was written in [[Schlaub]] before it was translated into Classical Windermere, and that Tsăhongtamdi is simply a Windermere pseudonym of a (probably) Hlou composer.

	==Contents==		==Contents==
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	**The tonality diamond is described as a way to "connect" overtone chords/scales over different fundamentals.		**The tonality diamond is described as a way to "connect" overtone chords/scales over different fundamentals.

			==Full text (Schlaub)==
			''This is a translation (possibly retranslation) of the Classical Windermere text by composer Bag Joh-Än.''
	==Full text (Classical Windermere)==		==Full text (Classical Windermere)==

2019-12-09T12:52:30Z

← Older revision		Revision as of 12:52, 9 December 2019
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	==Contents==		==Contents==
	*Book 1 discusses mathematical results:		*Book 1 discusses mathematical results:
	**~~Basically the number theory results in Euclid's Elements plus...~~		**Prime factorization
	**Continued fractions~~<!--~~		**Continued fractions and mediants
	**Calculus
	**log(x)-->
	*Book 2 discusses basic acoustics (don't mention frequencies)		*Book 2 discusses basic acoustics (don't mention frequencies)
	**monochord; building it		**monochord; building it
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	**harmonic series		**harmonic series
	**intervals as rational string length ratios (given equal thickness and tension); these can be written as tuples by unique factorization		**intervals as rational string length ratios (given equal thickness and tension); these can be written as tuples by unique factorization
	*Book 3 discusses ~~harmonic properties of various~~ scales.		*Book 3 discusses just intonation scales built from notes taken from overtone and undertone series.
	**odd- and prime-limit		**odd- and prime-limit
	**chord voicings		**chord voicings

2019-07-07T14:15:30Z

← Older revision		Revision as of 14:15, 7 July 2019
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	'''Elements of Harmony''' ([[Windermere/Classical\|Classical Windermere]]: ''Yămyămał ~~clisăybäl~~'') is a textbook on just intonation authored in [[Windermere/Classical\|Classical Windermere]] by physicist, mathematician and composer Tsăhongtamdi covering elementary number theory, acoustics, and just intonation music theory.		'''Elements of Harmony''' ([[Windermere/Classical\|Classical Windermere]]: ''Yămyămał clisăyfäl'') is a textbook on just intonation authored in [[Windermere/Classical\|Classical Windermere]] by physicist, mathematician and composer Tsăhongtamdi covering elementary number theory, acoustics, and just intonation music theory.

	==Contents==		==Contents==

2019-07-02T05:00:44Z

Contents

← Older revision		Revision as of 05:00, 2 July 2019
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	**Mersenne's Laws?		**Mersenne's Laws?
	**harmonic series		**harmonic series
	**intervals as rational string length ratios (given equal thickness and tension); these can be written as tuples~~/monzos~~ by unique factorization		**intervals as rational string length ratios (given equal thickness and tension); these can be written as tuples by unique factorization
	*Book 3 discusses harmonic properties of various scales.		*Book 3 discusses harmonic properties of various scales.
	**odd- and prime-limit		**odd- and prime-limit

2019-07-02T05:00:20Z

Contents

← Older revision		Revision as of 05:00, 2 July 2019
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	**odd- and prime-limit		**odd- and prime-limit
	**chord voicings		**chord voicings
	**~~otonal and utonal chords~~		**The tonality diamond is described as a way to "connect" overtone chords/scales over different fundamentals.
	**tonality diamond

	==Full text (Classical Windermere)==		==Full text (Classical Windermere)==

2019-06-17T03:58:47Z

Full text (Varrkkún)

← Older revision		Revision as of 03:58, 17 June 2019
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	**tonality diamond		**tonality diamond

	==Full text (~~Varrkkún~~)==		==Full text (Classical Windermere)==

	==Full text (English)==		==Full text (English)==

2019-06-17T03:57:06Z

← Older revision		Revision as of 03:57, 17 June 2019
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	'''Elements of Harmony''' ([[Windermere/Classical\|Classical Windermere]]: ''Yămyămał clisăybäl'') is a ~~primer~~ on just intonation authored in [[Windermere/Classical\|Classical Windermere]] by physicist, mathematician and composer ~~Tsăhong-Tamdi~~ covering elementary number theory, acoustics, and just intonation music theory.		'''Elements of Harmony''' ([[Windermere/Classical\|Classical Windermere]]: ''Yămyămał clisăybäl'') is a textbook on just intonation authored in [[Windermere/Classical\|Classical Windermere]] by physicist, mathematician and composer Tsăhongtamdi covering elementary number theory, acoustics, and just intonation music theory.

	==Contents==		==Contents==