NagyMusic Posted April 29, 2021 Share Posted April 29, 2021 Suppose a density is defined by measuring the amount of information. Why does the first list having three pitches result in lower density than the second list comprising two pitches? (density-analysis '((c4 d4 g4) (d4 a4))) => (0.2916667 0.5833334) Thank you! Quote Link to comment Share on other sites More sharing options...
opmo Posted April 29, 2021 Share Posted April 29, 2021 The bigger the interval the lower the density. (density-analysis '((c4 d4) (c4 a4))) => (0.16666667 0.75) (density-analysis '((c4 d4 e4 f4) (c4 a4 g5 c7))) => (0.1388889 0.86111116) NagyMusic 1 Quote Link to comment Share on other sites More sharing options...
NagyMusic Posted April 29, 2021 Author Share Posted April 29, 2021 Thank you! And with length density, is it correct to say that the longer the duration the lower the density? (density-analysis '((h q q) (e s))) => (0.19 0.67) Quote Link to comment Share on other sites More sharing options...
opmo Posted April 29, 2021 Share Posted April 29, 2021 Yes (density-analysis '((h q e =) (e = = = = = = =))) => (0.25 0.5) (density-analysis '((h q e =) (s = t =))) => (0.25 1.0) NagyMusic 1 Quote Link to comment Share on other sites More sharing options...
NagyMusic Posted April 29, 2021 Author Share Posted April 29, 2021 My apologies for continuing questions... Given that longer durations result in lower density, and if I understand it right, the density value of 1.0 indicates the lowest density, why are the longer durations resulting in higher density estimation: (density-analysis '((h q) (e s))) => (0.17 0.67) Thank you for your patience! Quote Link to comment Share on other sites More sharing options...
opmo Posted April 29, 2021 Share Posted April 29, 2021 1.0 is the highest density. Quote Link to comment Share on other sites More sharing options...
NagyMusic Posted April 29, 2021 Author Share Posted April 29, 2021 Thanks for clarifying. It makes sense that 1.0 is the highest density; that was what my initial understanding was. Going back to my pitch density question from earlier, where we attested that "the bigger the interval, the lower the density," should the density be lower for a major sixth and higher for a major second, the former being a larger interval? The example below and others I tested, produce higher density for larger intervals. (density-analysis '((c4 a4) (c4 d4))) => (0.75 0.16666667) I'm sorry if I'm not looking at this the wrong way! The length density is clear now. Quote Link to comment Share on other sites More sharing options...
opmo Posted April 29, 2021 Share Posted April 29, 2021 The density increases with the size of the interval/s. For example (cs2 g7) is more dense than (cs2 g2). The more difficult (complex) is to recognise the intervals the more dense is the pitch sequence. (density-analysis '((cs2 g7) (cs2 g2))) => (1.0 0.5) Quote Link to comment Share on other sites More sharing options...
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