Literature:Elements of Harmony: Difference between revisions

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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.

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==

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**chord voicings

**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 (Classical Windermere)==

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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 $|x| < 1$.

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[[Category:Tricin]]

@@ Line 1: / Line 1: @@
 '''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==
@@ Line 14: / Line 16: @@
 **chord voicings
 **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 (Classical Windermere)==
@@ Line 33: / Line 39: @@
 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 $|x| < 1$.
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+[[Category:Tricin]]