Dont' Hate Me - I Disagree With Russell's Theory
Posted: Fri Jul 24, 2009 1:01 pm
This is going to get me stoned but I want to express my truth about the Concept.
When it comes to the vertical purity and objective vantage point of Lydian over Major - I'm sold.
When it comes to appreciating the difference between vertical and horizontal - I'm sold.
A system to categorize and (attempt to) master "tonal orders" beyond the Lydian scale - I'm sold.
Traversing music in terms of Parent Scale and Modal Genre - I'm sold.
As a practical and useful system for relating to chords and scales in Equal Temperament, I am totally on board with the Concept and advocate it's use. I'm passionate about it in fact.
However, if I could propose a fault of the Concept (and I am), it would be it's claim to be based so purely and objectively on natural science.
The interval of a fifth, without a doubt, is the strongest interval in terms of tonal gravity. I don't at all have a problem with "tempering" the fifth a little in order to turn the spiral of fifths into a circle. It's practical. It works. It simplifies life. No problem.
What I find troubling, though, is the fact that Equal Temperament hides from us the underlying tonal relationships that exist in nature. Any musical theory that ignores this is going to sometimes run into trouble.
Equal Temperament (ET) is like working with pixelated images. You can take a digital picture, and on your monitor it looks more or less like what you saw, although less perfect. You started with the real thing, and approximated it in the quantized, pixelated, less-than-accurate environment.
If you start in the quantized, pixelated, less-than-accurate environment, however, like, with a paint program, or something, you can never create the same quality pitcure as one that originated in the real world.
ET does something similar, in that it attempts to reproduce something that exists in nature (Major triads, derived from the Overtone Series, or OS) in an environment that cannot accurately reproduce the frequency ratios of the natural prototypes for these chords.
The reasons for doing so are well-known, and ET is more or less worth it. The problem, though, is when we base a musical THEORY, not on the underlying natural phenomena itself, but on ET, as if it accurately represented nature. Equal Tempered thirds are fine for everyday use, but in nature, a major third does not equal four fifths, a minor third does not equal nine perfect fifths, and so on.
Even worse with the tritone. In nature, there is no interval that divides the octave in half. Nature's tritone does not have this as a property, just as nature's perfect fifths do not generate a circle. Those poperties are artifacts of Equal Temperament.
The reason Baroque and Classical music leans on the "dominant" chord and it's resolutions, is because the "dominant" chord (partials 4, 5, 6, and 7 of the OS) exists in nature. The horizontal force that causes it to naturally "resolve" to a triad a fifth below it, is a phenomenon that exists in nature. Vertical expression and higher-order chords came AFTER equal temperament, but our ears no doubt still relate to them based on natural laws that are being approximated in ET, not on the ET ratios themselves.
So, while it is convenient and practical to use ET, and we more or less retain those cadencing functions in it, they are not BASED on any frequency ratios found in ET. This cannot be ignored when forming a theory that strives to be pure and objective.
So, while the ladder of fifths model is practical and workable, and the Lydian scale is an objective perspecive from which to build other scales, I think it is a fundamental error to think we can "measure" a tone's (or a scale's) ingoing-ness or outgoing-ness (close or distant relatedness) using a ladder of fifths model.
The model is useful for tracking and naming the tones, scales, and chords we use in music in a unified way, but I don't think it really EXPLAINS anything. Close, distant, or otherwise.
For one thing, my ears and gut have, from the beginning, disagreed with the ordering of Lydian Augmented, Lydian Diminished, and Lydian Flat Seventh. While my ears immediately agreed with the Lydian versus Major comparison Russell uses as a basic proof, I experience no ingoing to outgoing order when progressing from one of these scales to the next. That's why I posted the "dissonance versus outgoingness" thread.
If a ladder of fifths has no way of accounting for the 8th tone in the ladder posessing the most outgoing relationship with the Lydian Tonic, it is not an objective theory that really "explains" the natural forces at work in music. Otherwise it would have addressed this feature.
So, while I value the concept as a way analyzing music, and giving me some control over my venture into and out of and between different tonal centres and tonalities, I consider it a method, rather than a theory. The theory part of it, to me, does not hold up.
When it comes to the vertical purity and objective vantage point of Lydian over Major - I'm sold.
When it comes to appreciating the difference between vertical and horizontal - I'm sold.
A system to categorize and (attempt to) master "tonal orders" beyond the Lydian scale - I'm sold.
Traversing music in terms of Parent Scale and Modal Genre - I'm sold.
As a practical and useful system for relating to chords and scales in Equal Temperament, I am totally on board with the Concept and advocate it's use. I'm passionate about it in fact.
However, if I could propose a fault of the Concept (and I am), it would be it's claim to be based so purely and objectively on natural science.
The interval of a fifth, without a doubt, is the strongest interval in terms of tonal gravity. I don't at all have a problem with "tempering" the fifth a little in order to turn the spiral of fifths into a circle. It's practical. It works. It simplifies life. No problem.
What I find troubling, though, is the fact that Equal Temperament hides from us the underlying tonal relationships that exist in nature. Any musical theory that ignores this is going to sometimes run into trouble.
Equal Temperament (ET) is like working with pixelated images. You can take a digital picture, and on your monitor it looks more or less like what you saw, although less perfect. You started with the real thing, and approximated it in the quantized, pixelated, less-than-accurate environment.
If you start in the quantized, pixelated, less-than-accurate environment, however, like, with a paint program, or something, you can never create the same quality pitcure as one that originated in the real world.
ET does something similar, in that it attempts to reproduce something that exists in nature (Major triads, derived from the Overtone Series, or OS) in an environment that cannot accurately reproduce the frequency ratios of the natural prototypes for these chords.
The reasons for doing so are well-known, and ET is more or less worth it. The problem, though, is when we base a musical THEORY, not on the underlying natural phenomena itself, but on ET, as if it accurately represented nature. Equal Tempered thirds are fine for everyday use, but in nature, a major third does not equal four fifths, a minor third does not equal nine perfect fifths, and so on.
Even worse with the tritone. In nature, there is no interval that divides the octave in half. Nature's tritone does not have this as a property, just as nature's perfect fifths do not generate a circle. Those poperties are artifacts of Equal Temperament.
The reason Baroque and Classical music leans on the "dominant" chord and it's resolutions, is because the "dominant" chord (partials 4, 5, 6, and 7 of the OS) exists in nature. The horizontal force that causes it to naturally "resolve" to a triad a fifth below it, is a phenomenon that exists in nature. Vertical expression and higher-order chords came AFTER equal temperament, but our ears no doubt still relate to them based on natural laws that are being approximated in ET, not on the ET ratios themselves.
So, while it is convenient and practical to use ET, and we more or less retain those cadencing functions in it, they are not BASED on any frequency ratios found in ET. This cannot be ignored when forming a theory that strives to be pure and objective.
So, while the ladder of fifths model is practical and workable, and the Lydian scale is an objective perspecive from which to build other scales, I think it is a fundamental error to think we can "measure" a tone's (or a scale's) ingoing-ness or outgoing-ness (close or distant relatedness) using a ladder of fifths model.
The model is useful for tracking and naming the tones, scales, and chords we use in music in a unified way, but I don't think it really EXPLAINS anything. Close, distant, or otherwise.
For one thing, my ears and gut have, from the beginning, disagreed with the ordering of Lydian Augmented, Lydian Diminished, and Lydian Flat Seventh. While my ears immediately agreed with the Lydian versus Major comparison Russell uses as a basic proof, I experience no ingoing to outgoing order when progressing from one of these scales to the next. That's why I posted the "dissonance versus outgoingness" thread.
If a ladder of fifths has no way of accounting for the 8th tone in the ladder posessing the most outgoing relationship with the Lydian Tonic, it is not an objective theory that really "explains" the natural forces at work in music. Otherwise it would have addressed this feature.
So, while I value the concept as a way analyzing music, and giving me some control over my venture into and out of and between different tonal centres and tonalities, I consider it a method, rather than a theory. The theory part of it, to me, does not hold up.