User talk:SAKryukov: Difference between revisions

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:::::::::::: On one level, you are right, but if you trace the origin of the piano system far enough back, you see that the idea for the default group of seven notes goes back to the Romans, who misunderstood the direction of construction and the arrangement of note names when they tried to borrow it from the Ancient Greeks before them. Regardless of whether you are going through the Ancient Greeks, the Romans, or a combination of both, one must realize that the Ancient Greeks (or rather, some of the Ancient Greeks) wanted to create a scale based on a chain of 3/2 just perfect fifths, with the resulting scale consisting of the intervals 1/1, 9/8, 81/64, 4/3, 3/2, 27/16, 243/128, and 2/1- today known as the Pythagorean Diatonic Scale. There's a reason that 3-prime-based just intonation is called "Pythagorean tuning" in English after all, and as you can see, there's a reason for the obsession with the diatonic scale. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:30, 25 November 2020 (UTC)

:::::::::::: At the end of the day, it is because of the Pythagorean Diatonic Scale's connections to the 3 prime that I would recommend we use it as one of the things we build our notation system off of. It may be true that we need to extend this chain of Pythagorean fifths out to where we have a chain of twenty-six pitches related by 3/2 fifths on either side of the starting pitch, but still. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:13, 25 November 2020 (UTC)

:::::::::::: At the end of the day, it is because of the Pythagorean Diatonic Scale's connections to the 3 prime that I would recommend we use it as one of the things we build our notation system off of. It may be true that we need to extend this chain of Pythagorean fifths out to where we have a chain of twenty-six pitches related by 3/2 fifths on either side of the starting pitch, but still. For the record, I should also point out that the modern notation seems to have strong connections with the steps in the diatonic scale, and, given all the stuff I've already said about the Pythagorean Diatonic Scale in particular, I think I've managed to recover some of the ''real'' abstractions behind it as opposed to some of the faulty ideas you've mentioned. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:13, 25 November 2020 (UTC)

:::::: For the record, if you're interested in advancing your research on Just Intonation, you might want to check out what I'm doing for [[Alpharabian tuning]]. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:45, 24 November 2020 (UTC)

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 :::::::::::: On one level, you are right, but if you trace the origin of the piano system far enough back, you see that the idea for the default group of seven notes goes back to the Romans, who misunderstood the direction of construction and the arrangement of note names when they tried to borrow it from the Ancient Greeks before them.  Regardless of whether you are going through the Ancient Greeks, the Romans, or a combination of both, one must realize that the Ancient Greeks (or rather, some of the Ancient Greeks) wanted to create a scale based on a chain of 3/2 just perfect fifths, with the resulting scale consisting of the intervals 1/1, 9/8, 81/64, 4/3, 3/2, 27/16, 243/128, and 2/1- today known as the Pythagorean Diatonic Scale.  There's a reason that 3-prime-based just intonation is called "Pythagorean tuning" in English after all, and as you can see, there's a reason for the obsession with the diatonic scale. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:30, 25 November 2020 (UTC)
-:::::::::::: At the end of the day, it is because of the Pythagorean Diatonic Scale's connections to the 3 prime that I would recommend we use it as one of the things we build our notation system off of.  It may be true that we need to extend this chain of Pythagorean fifths out to where we have a chain of twenty-six pitches related by 3/2 fifths on either side of the starting pitch, but still. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:13, 25 November 2020 (UTC)
+:::::::::::: At the end of the day, it is because of the Pythagorean Diatonic Scale's connections to the 3 prime that I would recommend we use it as one of the things we build our notation system off of.  It may be true that we need to extend this chain of Pythagorean fifths out to where we have a chain of twenty-six pitches related by 3/2 fifths on either side of the starting pitch, but still.  For the record, I should also point out that the modern notation seems to have strong connections with the steps in the diatonic scale, and, given all the stuff I've already said about the Pythagorean Diatonic Scale in particular, I think I've managed to recover some of the ''real'' abstractions behind it as opposed to some of the faulty ideas you've mentioned. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:13, 25 November 2020 (UTC)
 :::::: For the record, if you're interested in advancing your research on Just Intonation, you might want to check out what I'm doing for [[Alpharabian tuning]]. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:45, 24 November 2020 (UTC)