mamuth

Comments

• Hi Carson, there is a quite systemmatic account in Michael J. Catanzaro (2011) Generalized Tonnetze , Journal of Mathematics and Music, 5:2, 117-139, DOI: 10.1080/17459737.2011.614448 all the best Thomas

  in Tonnetz Diagrams/Charts Comment by Thomas Noll August 2020
• I'm assuming you mean the minor seventh in measure 4? I'm tempted to say that Eb is spelled correctly, I think I hear that B in measure 3 as acting as a true suspension and that the real chord implied is not a dom7 (with major third D#) but a dimini…

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
• Dear Marcel, thanks for the good wishes. You say:  I simply fail to see the musical insight gained from seeing for instance augmented sixths lumped together with major seconds / ninths, etc. Looking forward to see your analysis of Chopin's E-minor p…

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
• Dear Marcel, There is one source of misunderstanding, where you ignore the intense signals which I intended to emit. You criticise the acts of projection (such as from the torus to the Moebious strip as acts of neglections). As if the theorist gives…

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
• This Mobius strip nonsense is nothing but a pretty looking gimick which has nothing to do with actual music and our perception of music. It's not just a small step back, it's a HUGE step back from regular tonal theory. I think you are mistaken. Firs…

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
• Why would the dyad pitch space be any different from the pitch space for triads or monophonic melodies etc? Thanks for sharing the link to this video. It don't quite get, what you regard as the "nonsense"-part. The author of this video did a fine …

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
• If enharmonic equivalence is a real thing in our perception of music then most of music theory is wrong. Despite of its uncouth formulation this statement represents a potentially legitimate element of criticism of the presuppositions  of the orbi…

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
• The idea that a Moebius strip represents the musical interval space is completely totally incorrect. Right! But who on earth pursues this idea? I think this discussion is on dyad space (i.e. the space pitch class (multi)sets with two elements).   …

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
•  Dear Colleages, I fear we are talking at cross-purposes here.The Moebius-strip model of the dyad space is part of the orbifold approach to voice-leading. Is the reason for Mr. Hyatt's discomfort with the Moebius strip in effect a discomfort with th…

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
• I would like to add a thought to my own last sentence: To what extend it is analytically insightful to trace a certain musical passage in the dyad-space is a different question. The potential to gain analytical insights about a given voice leading…

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
• Dear Colleagues, I do not intend to go into the details of this criticism. I just feel that it would be good to add an epistemological prolegomenon. As far as I'm aware, the orbifold-approach to the study of voice leading is joint work by Clifton Ca…

  in The "Fundamental Shape" of "Two-Chords" Comment by Thomas Noll March 2018
• In this regard it is also interesting to consider the parallel(?) editorial change of the note D in the same measure within the triplet on the downbeat in the upper register. In modern editions it is a D-sharp. The harmony on the downbeat is an inve…

  in Wrong note in Chopin Mazurka? Comment by Thomas Noll January 2016