User talk:CritDeathX: Difference between revisions

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Hello Sam, I just posted [[User:Aura/Aura's Ideas of Consonance|my own ideas of consonance]]. I'd like to hear what you think of these. Perhaps our ideas of consonance are mutually compatible. Also, I think we need to examine Harmonic Entropy in a new light- take the individual sections of the [[Harmonic_Entropy#a.3D.E2.88.9E:_Harmonic_Min-Entropy|minimum Rényi entropy]] that correspond to different octaves and combine successive octave sections into a single curve. I predict that intervals that have a high degree of connectivity- of the sort explain on my page- will become more pronounced, while those that don't will be weakened. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:49, 12 September 2020 (UTC)

: Hello, Aura! I read through your page, and it looks like a really promising theory. Although I'm not in a place where I can try to make an image of averaging out the points on the entropy graph, I can try to look at a couple of triads & intervals and see if your theory works with mine (''note that a lot of ~~them~~ follow either (a+c)/2 or (2ac)/(a+c)'').

: Hello, Aura! I read through your page, and it looks like a really promising theory. Although I'm not in a place where I can try to make an image of averaging out the points on the entropy graph, I can try to look at a couple of triads & intervals and see if your theory works with mine (''note that a lot of the chords follow either (a+c)/2 or (2ac)/(a+c)'').

: 8:9:12 (3-limit) - 3 linear tones

: 4:5:6 (5-limit) - 4 linear tones

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:: Thanks! I did have to rethink the transformation of the harmonic entropy curve upon the successful overlay of different sections- now I'm thinking that what is required is not averaging the sections together but adding them together. If I'm thinking this through correctly, the addition results in the values for more-connected harmonic entropy minima adding up slowly, while the values for other, less-connected intervals basically add up quite fast. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 18:21, 12 September 2020 (UTC)

::: Yeah, that makes sense. I'd like to mention that comparing the intervals here to how you've described them, it seems that ones that hold more tonal opportunity are ones where the linear tones don't like up with the denominator; it explains why 8/5 has a better "effect of fostering a stronger sense of tonality," as you've said, than 5/3, where its linear tones are only powers of 2. --[[User:CritDeathX|CritDeathX]] ([[User talk:CritDeathX|talk]]) 18:31, 12 September 2020 (UTC)

@@ Line 165: / Line 165: @@
 Hello Sam, I just posted [[User:Aura/Aura's Ideas of Consonance|my own ideas of consonance]].  I'd like to hear what you think of these.  Perhaps our ideas of consonance are mutually compatible.  Also, I think we need to examine Harmonic Entropy in a new light- take the individual sections of the [[Harmonic_Entropy#a.3D.E2.88.9E:_Harmonic_Min-Entropy|minimum Rényi entropy]] that correspond to different octaves and combine successive octave sections into a single curve.  I predict that intervals that have a high degree of connectivity- of the sort explain on my page- will become more pronounced, while those that don't will be weakened. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:49, 12 September 2020 (UTC)
-: Hello, Aura! I read through your page, and it looks like a really promising theory. Although I'm not in a place where I can try to make an image of averaging out the points on the entropy graph, I can try to look at a couple of triads & intervals and see if your theory works with mine (''note that a lot of them follow either (a+c)/2 or (2ac)/(a+c)'').
+: Hello, Aura! I read through your page, and it looks like a really promising theory. Although I'm not in a place where I can try to make an image of averaging out the points on the entropy graph, I can try to look at a couple of triads & intervals and see if your theory works with mine (''note that a lot of the chords follow either (a+c)/2 or (2ac)/(a+c)'').
 : 8:9:12 (3-limit) - 3 linear tones
 : 4:5:6 (5-limit) - 4 linear tones
@@ Line 190: / Line 190: @@
 :: Thanks!  I did have to rethink the transformation of the harmonic entropy curve upon the successful overlay of different sections- now I'm thinking that what is required is not averaging the sections together but adding them together.  If I'm thinking this through correctly, the addition results in the values for more-connected harmonic entropy minima adding up slowly, while the values for other, less-connected intervals basically add up quite fast. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 18:21, 12 September 2020 (UTC)
+::: Yeah, that makes sense. I'd like to mention that comparing the intervals here to how you've described them, it seems that ones that hold more tonal opportunity are ones where the linear tones don't like up with the denominator; it explains why 8/5 has a better "effect of fostering a stronger sense of tonality," as you've said, than 5/3, where its linear tones are only powers of 2. --[[User:CritDeathX|CritDeathX]] ([[User talk:CritDeathX|talk]]) 18:31, 12 September 2020 (UTC)