User talk:SAKryukov: Difference between revisions

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::::::: It can be interesting but perhaps later. — [[User:SAKryukov|SA]], ''Tuesday 2020 December 1, 07:35 UTC''

:::::::: Well, since I already typed out my reasoning, I might as well post it, though do feel free to read about it later if need be...

:::::::: Well, since I already typed out my reasoning, I might as well post it before I forget or lose it, though do feel free to read about it later if need be...

:::::::: The Quartisma, 117440512/117406179, is the difference between five 33/32 quartertones and one 7/6 subminor third, and since 33/32 is a quartertone, while the comma itself is unnoticeable, I came up with the name "quartisma" based on "quartertone" and "schisma".

:::::::: The Quartisma, 117440512/117406179, is the difference between a stack of five 33/32 quartertones and one 7/6 subminor third, and since 33/32 is a quartertone, while the comma itself is unnoticeable, I came up with the name "quartisma" based on "quartertone" and "schisma".

:::::::: The Nexus comma, 1771561/1769472, is the difference between a stack of three 128/121 Alpharabian diatonic semitones and a 32/27 minor third. The 128/121 semitone is an example of pure 11 prime interval, while the 32/27 minor third is an example of pure 3 prime interval, and both the 11 prime and the 3 prime are significant in their own ways. Specifically, while the 3 prime has its connections to the diatonic scale, and the perfect intervals 3/2 and 4/3, the 11 prime can be mathematically calculated to be the best prime for representing quartertones in terms of ratio simplicity, with three 33/32 quartertones plus a 4096/3993 quartertone being the simplest two-interval combination that can be added together to make a 9/8 whole tone. Since tempering out 1771561/1769472 joins the 3 prime chain and the 11 prime chain together, it makes sense to call it the "nexus comma".

@@ Line 354: / Line 354: @@
 ::::::: It can be interesting but perhaps later. &mdash;&nbsp;[[User:SAKryukov|SA]],&nbsp;''Tuesday&nbsp;2020&nbsp;December&nbsp;1,&nbsp;07:35&nbsp;UTC''
-:::::::: Well, since I already typed out my reasoning, I might as well post it, though do feel free to read about it later if need be...
+:::::::: Well, since I already typed out my reasoning, I might as well post it before I forget or lose it, though do feel free to read about it later if need be...
-:::::::: The Quartisma, 117440512/117406179, is the difference between five 33/32 quartertones and one 7/6 subminor third, and since 33/32 is a quartertone, while the comma itself is unnoticeable, I came up with the name "quartisma" based on "quartertone" and "schisma".
+:::::::: The Quartisma, 117440512/117406179, is the difference between a stack of five 33/32 quartertones and one 7/6 subminor third, and since 33/32 is a quartertone, while the comma itself is unnoticeable, I came up with the name "quartisma" based on "quartertone" and "schisma".
 :::::::: The Nexus comma, 1771561/1769472, is the difference between a stack of three 128/121 Alpharabian diatonic semitones and a 32/27 minor third.  The 128/121 semitone is an example of pure 11 prime interval, while the 32/27 minor third is an example of pure 3 prime interval, and both the 11 prime and the 3 prime are significant in their own ways.  Specifically, while the 3 prime has its connections to the diatonic scale, and the perfect intervals 3/2 and 4/3, the 11 prime can be mathematically calculated to be the best prime for representing quartertones in terms of ratio simplicity, with three 33/32 quartertones plus a 4096/3993 quartertone being the simplest two-interval combination that can be added together to make a 9/8 whole tone.  Since tempering out 1771561/1769472 joins the 3 prime chain and the 11 prime chain together, it makes sense to call it the "nexus comma".