Equal temperament vs instrument harmonics in music

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Discussion Overview

The discussion revolves around the comparison between equal temperament tuning and harmonically related tuning systems in music, particularly focusing on the major scale and its representation in a web-based application. Participants explore the implications of these tuning systems on musical perception and the accuracy of frequency representations.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Exploratory

Main Points Raised

  • Some participants propose that equal temperament tuning allows for a systematic approach to note frequencies, while others argue that it may not accurately reflect natural harmonics.
  • One participant claims that the app's major scale includes an additional note (the dominant 7th), which some argue does not belong in a traditional major scale.
  • Concerns are raised about the accuracy of the frequencies represented in the app, with some participants providing corrections to the expected frequencies of the notes.
  • There is a discussion about the perception of dissonance in equal temperament chords compared to harmonically related chords, with some noting that the "beat frequencies" contribute to a less pleasant sound.
  • Participants mention the complexity of tuning instruments like pianos, highlighting the challenges of achieving accurate intonation across different octaves.
  • Some participants reference historical and theoretical contexts, such as just intonation and spectralism, to critique the approaches taken in the app.

Areas of Agreement / Disagreement

Participants express disagreement regarding the accuracy of the major scale presented in the app, with multiple competing views on the correct frequencies and the inclusion of certain notes. The discussion remains unresolved, with no consensus on the validity of the app's representations.

Contextual Notes

Limitations include potential inaccuracies in frequency representation due to rounding and the app's dependency on specific tuning methods. The discussion also highlights the subjective nature of musical perception and the challenges of comparing different tuning systems.

  • #31
Laughner said:
It's so cool to hear of these. So if today's processor speeds were applied, there is no reason not to have every chord sound as good on a keyboard as it does on a string quartet or sung by barbershoppers or a cappela groups. I'd buy one.
 
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  • #32
Laughner said:
It's so cool to hear of these. So if today's processor speeds were applied, there is no reason not to have every chord sound as good on a keyboard as it does on a string
Don’t see how that would work for traditional classical music - the processor would need to keep track of the key and harmonic context - for example a Gr A6 chord in C major is different than a G#7 chord in C# minor, but the keys on a piano are the same.
 
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  • #33
BWV said:
Don’t see how that would work for traditional classical music
Or for any music. For instance imagine the intro. to Pinball Wizard with microtonal adjustments to the F# drone bass note.

Edit: it's tempting to demonstrate it, but it's also bedtime here.
 
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  • #34
BWV said:
Don’t see how that would work for traditional classical music - the processor would need to keep track of the key and harmonic context - for example a Gr A6 chord in C major is different than a G#7 chord in C# minor, but the keys on a piano are the same.
Well, I do not know that classical music will suffer too much - I have analyzed and transcribed a lot of jazz music (mainly "big band") and a lot of the harmonies there sound terrible in any kind of temperament. Examples: Cmaj7 when the arranger adds the octave, Cmi9 when the arranger drops the 9 down one octave etc.
 
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  • #35
BWV said:
Don’t see how that would work for traditional classical music - the processor would need to keep track of the key and harmonic context - for example a Gr A6 chord in C major is different than a G#7 chord in C# minor, but the keys on a piano are the same.
The composer/transcriber would have to choose which version of the chord is intended each time. A tune using both versions of the chord in different contexts could highlight something that can't be done in equal temperament.
 
  • #36
Algr said:
The composer/transcriber would have to choose which version of the chord is intended each time.

The recent posts are in response to this, where the keyboard is supposed to replace a composer.

Laughner said:
So if today's processor speeds were applied, there is no reason not to have every chord sound as good on a keyboard as it does on a string
 
  • #37
Bob Walance said:
The fundamental frequencies of the notes are separated by a factor of 2^(1/12),
They have a ratio of ##2^{\frac{1}{12}}##.
 
  • #38
pbuk said:
The recent posts are in response to this, where the keyboard is supposed to replace a composer.
But it started with my comparison to 19-tet, which does not involve the keyboard making choices about what notes are intended:
Algr said:
I wonder if instead of trying to use 19-tet or other strange solutions, one could deal with the wolf interval by programming synths to change from one tuning to another as soon as the problematic chord was about to be played. What would we call that? Super-Pythagorean tuning?
If the keyboard were retuning based on what notes were being played at the time, it could easily get stuck in a situation where it had to retune a note that was already playing. That could be a secondary issue behind this:
Svein said:
By the way, a Norwegian composer (Eivind Groven) had special organ made that analyzed the chords and changed the just temperament base to match the chords. Since it was built using electromechanical relays, you could not play very fast on it, but it was an interesting experiment for its time.
 

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