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Aura (talk | contribs)
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:::::::::::::::::::: We need our data first- and yes, you'd likely have to make the chart...  One thing that has become readily apparent is that we need to superimpose the linear and contralinear tones for any one single interval or chord and see if the intervals between the difference and contrasum tones, and between the sum and contradifference tones, demonstrate high harmonic entropy or not.  I can already tell you that for for 5/3, I'm seeing high-entropy results. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:37, 12 September 2020 (UTC)
:::::::::::::::::::: We need our data first- and yes, you'd likely have to make the chart...  One thing that has become readily apparent is that we need to superimpose the linear and contralinear tones for any one single interval or chord and see if the intervals between the difference and contrasum tones, and between the sum and contradifference tones, demonstrate high harmonic entropy or not.  I can already tell you that for for 5/3, I'm seeing high-entropy results. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:37, 12 September 2020 (UTC)


:::::::::::::::::::: For the starting interval 2/1, I can tell you that the intervals between the difference and contrasum tones, and between the sum and contradifference tones is a 3/2 perfect fifth in each case, and because this interval demonstrates low harmonic entropy, we can then go on to check the linear and contralinear tones of these intervals, if the results are again a low-entropy interval, we can keep on going, but once we hit a high-entropy interval, we have to stop.  The number of iterations of this process is the rank of the base interval in terms of linear-contralinear consonance. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:51, 12 September 2020 (UTC)
:::::::::::::::::::: For the starting interval 2/1, I can tell you that the intervals between the difference and contrasum tones, and between the sum and contradifference tones is a 3/2 perfect fifth in each case, and because this interval demonstrates low harmonic entropy, we can then go on to check the linear and contralinear tones of these intervals, if the results are again a low-entropy interval, we can keep on going, but once we hit a high-entropy interval, we have to stop.  The number of iterations of this process before hitting a high-entropy interval is the rank of the base interval in terms of linear-contralinear consonance. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:51, 12 September 2020 (UTC)