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Dear Dimitar,
I'll be extra clear to avoid further miscommunication. I have not explained my theory of root, only wrote 2 things about it. To explain it fully and what it entails is a very long story which I'm not interested in discussing here in c…
Dear Dimitar,
No, I do not think what I wrote is comming across as I intended. If you give me a specific musical example of tonal music of what you think is a good example of the #IIdim7 progressing to the tonic I will try to give a specific analysi…
Dear Dimitar,
Often (but not always) I analyze the root of the dim II chord in minor as an added 6th /13th IV minor chord, btw if you extend the II chord in natural minor to the 7th chord you will have all the pitches of the IV minor chord with adde…
Yes, perfect fifth root progressions are at the bottom of some of those harmonic relationships. If you think B7 resolving into E7, that is the diatonic basis of the beginning. Just lower the fifth of the first domiant and suspend a major sixth ove…
the harmony can be interpreted as a systematic denial to resolve the major thirds of dominants into their associated tonics. Instead these thirds are lowered and the chords are turned into minor-dominant seventh chords or (as in the case of measu…
Looking forward to see your analysis of Chopin's E-minor prelude. Measure 2 will give you a hard nut to crack: The same two notes form a minor seventh from the view point of counterpoint and an augmented sixth from the view point of harmony.
I'm…
Dear Thomas,
I don't think there's a misunderstanding. I simply fail to see the musical insight gained from seeing for instance augmented sixths lumped together with major seconds / ninths, etc. And I don't think your analogy is very fitting. Weeks …
Dear Thomas,
I do not see this as a scientific discourse but as debunking pseudo science. I do hope you see that my strong criticism is only towards the theory, not towards you or other people. I take particular issues with mathematical music theori…
One other thing.
Even if one were to use a large enough Mobius strip with enharmonic difference to a certain degree, let's say based on 53-tet. Then there's still a problem of octave equivalence and that one can't see any distinction in this space …
Hello Thomas,
Why would the dyad pitch space be any different from the pitch space for triads or monophonic melodies etc?
Sure you may model it differently geometrically but the actual resulting pitch space would be the same. The Mobius strip used …
Dear Marcel.
I will reply to you later in the week, when I have read carefully what you worte. For now I can say that there is no problem in the tones F and G# being in the same chord; F is a bass tone, it is not the root of the chord.
The chord …
I think one of the things that make the Tristan chord so hard to analyze is that we're so used to chord tones being in consonant stable positions relative to their root. The third and fifth, with the seventh already having some tension. The Tristan …
Hello Dimitar,
I had started a thread about the Tristan chord 2 days ago only to delete it again after realizing it's a more tricky chord to analyze than appears at first and there was a good chance my interpretation was incorrect. I have therefo…
The idea that a Moebius strip represents the musical interval space is completely totally incorrect.
It assumes enharmonic equivalence!
If enharmonic equivalence is a real thing in our perception of music then most of music theory is wrong.
There…
For what it's worth.. I think a more musical mirror relationship is made by mirroring using not a single note as the basis but instead use the interval of the fifth as the basis of the mirroring.
So C major scale C D E F G A B C would be mirrored a…
Dear Dimitar,
Ah yes, reading back to your conclusions on the cadential 6/4 I see now that we are indeed saying exactly the same thing. Except I've been calling it an anticipation. I think it's an error in current theory to only see anticipations as…
A bit late, but let me add my 2 cents to this.
The cadential 6/4.
Agreed we do not hear the fourth and sixth above the bass as suspensions. I do not see how the sixth could be a true suspension anyhow as it's not prepared. The fourth could've be…
Our brain does not treat music as "mod 12". We interpret the enharmonic difference between intervals even if they are tuned to 12tet.
The geometry of music is very simple, it is a chain of fifths and octaves. You can display this in 2d in various w…
Peter Thiel was one of the founders of Paypal (together with Elon Musk and others), but it was sold to Ebay a long time ago already.
Using Paypal does not benefit Thiel anymore and is not "rewarding bad behaviour".
Dan Schulman is the current CEO o…