User talk:Xenwolf: Difference between revisions

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== Classifying Prime Limits by Diatonic Function ==

I have an idea as to how to classify primes based on their functions relative to the tonic, but I don't know if I should modify the [[~~Harmonic_limit|~~harmonic limit]] page for this or not. I know I would classify the 2-limit as being the "Pitch Class Prime" in light of how pitches related to the tonic by powers of two naturally seem to our hearing to be the same as the tonic in ways that other primes don't. I would classify the 3-limit and the 5-limit as the "Diatonic Primes" for their key functions in just diatonic and just chromatic music. I would classify the 7-limit, 11-limit and 13-limit as the "Paradiatonic Primes because of their relative ease of use as accidentals in otherwise diatonic keys, and, due to the fact that these relatively low primes can create intervals that can be readily used as alongside diatonic intervals or even as substitutions for them. I'd go on to classify the 17-limit and 19-limit as "Quasidiatonic Primes" owing to the most basic intervals in these families having striking similarities to diatonic intervals, but with greater complexity. I'd then go on to label the 23-limit, the 29-limit, and 31-limit the "Pseudodiatonic Primes" because even though these primes are not diatonic by any stretch, they can still serve as substitutes for the paradiatonic primes in a pinch. Does all this sound like a good idea to you? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:17, 11 September 2020 (UTC)

I have an idea as to how to classify primes based on their functions relative to the tonic, but I don't know if I should modify the [[harmonic limit]] page for this or not. I know I would classify the 2-limit as being the "Pitch Class Prime" in light of how pitches related to the tonic by powers of two naturally seem to our hearing to be the same as the tonic in ways that other primes don't. I would classify the 3-limit and the 5-limit as the "Diatonic Primes" for their key functions in just diatonic and just chromatic music. I would classify the 7-limit, 11-limit and 13-limit as the "Paradiatonic Primes because of their relative ease of use as accidentals in otherwise diatonic keys, and, due to the fact that these relatively low primes can create intervals that can be readily used as alongside diatonic intervals or even as substitutions for them. I'd go on to classify the 17-limit and 19-limit as "Quasidiatonic Primes" owing to the most basic intervals in these families having striking similarities to diatonic intervals, but with greater complexity. I'd then go on to label the 23-limit, the 29-limit, and 31-limit the "Pseudodiatonic Primes" because even though these primes are not diatonic by any stretch, they can still serve as substitutes for the paradiatonic primes in a pinch. Does all this sound like a good idea to you? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:17, 11 September 2020 (UTC)

: I think the [[harmonic limit]] page is a good place for your classification concept (maybe as a section?), but I must say that the classifications (especially the distinction between Quasi and Pseudo) after Paradiatonic look a bit strange (or artificial/sophisticated) to me. In general, I don't believe in such a high precision of the human ear. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:31, 11 September 2020 (UTC)

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 == Classifying Prime Limits by Diatonic Function ==
-I have an idea as to how to classify primes based on their functions relative to the tonic, but I don't know if I should modify the [[Harmonic_limit|harmonic limit]] page for this or not.  I know I would classify the 2-limit as being the "Pitch Class Prime" in light of how pitches related to the tonic by powers of two naturally seem to our hearing to be the same as the tonic in ways that other primes don't.  I would classify the 3-limit and the 5-limit as the "Diatonic Primes" for their key functions in just diatonic and just chromatic music.  I would classify the 7-limit, 11-limit and 13-limit as the "Paradiatonic Primes because of their relative ease of use as accidentals in otherwise diatonic keys, and, due to the fact that these relatively low primes can create intervals that can be readily used as alongside diatonic intervals or even as substitutions for them.  I'd go on to classify the 17-limit and 19-limit as "Quasidiatonic Primes" owing to the most basic intervals in these families having striking similarities to diatonic intervals, but with greater complexity.  I'd then go on to label the 23-limit, the 29-limit, and 31-limit the "Pseudodiatonic Primes" because even though these primes are not diatonic by any stretch, they can still serve as substitutes for the paradiatonic primes in a pinch.  Does all this sound like a good idea to you? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:17, 11 September 2020 (UTC)
+I have an idea as to how to classify primes based on their functions relative to the tonic, but I don't know if I should modify the [[harmonic limit]] page for this or not.  I know I would classify the 2-limit as being the "Pitch Class Prime" in light of how pitches related to the tonic by powers of two naturally seem to our hearing to be the same as the tonic in ways that other primes don't.  I would classify the 3-limit and the 5-limit as the "Diatonic Primes" for their key functions in just diatonic and just chromatic music.  I would classify the 7-limit, 11-limit and 13-limit as the "Paradiatonic Primes because of their relative ease of use as accidentals in otherwise diatonic keys, and, due to the fact that these relatively low primes can create intervals that can be readily used as alongside diatonic intervals or even as substitutions for them.  I'd go on to classify the 17-limit and 19-limit as "Quasidiatonic Primes" owing to the most basic intervals in these families having striking similarities to diatonic intervals, but with greater complexity.  I'd then go on to label the 23-limit, the 29-limit, and 31-limit the "Pseudodiatonic Primes" because even though these primes are not diatonic by any stretch, they can still serve as substitutes for the paradiatonic primes in a pinch.  Does all this sound like a good idea to you? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:17, 11 September 2020 (UTC)
+: I think the [[harmonic limit]] page is a good place for your classification concept (maybe as a section?), but I must say that the classifications (especially the distinction between Quasi and Pseudo) after Paradiatonic look a bit strange (or artificial/sophisticated) to me. In general, I don't believe in such a high precision of the human ear. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:31, 11 September 2020 (UTC)