User talk:Inthar: Difference between revisions

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:I've been growing more skeptical of the idea of regular temperaments and limiting oneself to prime-limits or subgroups over time, but maybe subgroups or telicity could still be useful if you're accurate enough. I'm also skeptical of why one would limit oneself to a chain of 11/8's when a chain of 12/11's say, is also valid, or when you could take a less "straight" path in the lattice, so I don't really see the use of telicity for me personally I'd be interested in hearing how you would use telicity musically (though my replies might be more intermittent). [[User:IlL|Inthar]] ([[User talk:IlL|talk]]) 07:14, 21 January 2021 (UTC)

:: I'll admit, part of the reason I'm limiting myself to chains of prime intervals at the moment is because judging from my own exploration of [[Alpharabian tuning]], pure prime chains seem to have a way of acting as the borders for the tuning space of the various combinations of the primes in question. When two primes come together via telicity, the tuning space for combinations of those two primes seems to be finite, and thus, more manageable- on one corner is the unison, and on the other corner is the place where the two primes come together. Aside from this, the other part of the reason I'm limiting myself to pure prime chains is that in some respects, I haven't gotten around to those combinations yet- after all, I need to start with the basics of the concept first.

:: It is true that there are less straight paths available in the lattice, but when you want to return to the initial Tonic, as I myself often do, those less straight paths are often more difficult to navigate, especially when you're dealing with higher primes- I know this from experience. Telicity gives easier-to-navigate paths for modulation, and sometimes, those paths are quite unexpected. For example, suppose you want to modulate down by a 32/27 minor third from your initial Tonic, but you known that the most expected way to get there is by chains of [[3/2]] fifths- well, it turns out that the [[nexus comma]] which is unnoticeable and thus has a pretty high telicity range, joins the [[11/8]] prime chain together with the 3/2 prime chain at just that particular point, thus, going up by a chain of six 11/8 intervals allows you to reach the note at 32/27 below your original tonic by unexpected means. From there, you can simply modulate by a chain of perfect 3/2 fifths back to your original Tonic.

:: Does this all make sense? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:22, 21 January 2021 (UTC)

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 :I've been growing more skeptical of the idea of regular temperaments and limiting oneself to prime-limits or subgroups over time, but maybe subgroups or telicity could still be useful if you're accurate enough. I'm also skeptical of why one would limit oneself to a chain of 11/8's when a chain of 12/11's say, is also valid, or when you could take a less "straight" path in the lattice, so I don't really see the use of telicity for me personally I'd be interested in hearing how you would use telicity musically (though my replies might be more intermittent). [[User:IlL|Inthar]] ([[User talk:IlL|talk]]) 07:14, 21 January 2021 (UTC)
+:: I'll admit, part of the reason I'm limiting myself to chains of prime intervals at the moment is because judging from my own exploration of [[Alpharabian tuning]], pure prime chains seem to have a way of acting as the borders for the tuning space of the various combinations of the primes in question.  When two primes come together via telicity, the tuning space for combinations of those two primes seems to be finite, and thus, more manageable- on one corner is the unison, and on the other corner is the place where the two primes come together.  Aside from this, the other part of the reason I'm limiting myself to pure prime chains is that in some respects, I haven't gotten around to those combinations yet- after all, I need to start with the basics of the concept first.
+:: It is true that there are less straight paths available in the lattice, but when you want to return to the initial Tonic, as I myself often do, those less straight paths are often more difficult to navigate, especially when you're dealing with higher primes- I know this from experience.  Telicity gives easier-to-navigate paths for modulation, and sometimes, those paths are quite unexpected.  For example, suppose you want to modulate down by a 32/27 minor third from your initial Tonic, but you known that the most expected way to get there is by chains of [[3/2]] fifths- well, it turns out that the [[nexus comma]] which is unnoticeable and thus has a pretty high telicity range, joins the [[11/8]] prime chain together with the 3/2 prime chain at just that particular point, thus, going up by a chain of six 11/8 intervals allows you to reach the note at 32/27 below your original tonic by unexpected means.  From there, you can simply modulate by a chain of perfect 3/2 fifths back to your original Tonic.
+:: Does this all make sense? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:22, 21 January 2021 (UTC)