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::: I currently have not the time to read and study a lot of text. I read your last additions but maybe not as carefully as you may expect. I have no experience with quartertone music so far, so I probably have difficulties with things that are obvious in your eyes. If I look at it from a mathematical perspective, I only see that the higher the p-limit, the higher the density of fractions between 1 and 2. But please don't let my personal objections stop you from working out your theories in the Wiki. You are welcome to do so in the main namespace of the wiki; it's really not that new pages would have to be created as subpages of the user page and then go through a review process. And I have far too little knowledge of and experience with microtonal music to be a suitable "examiner". --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 18:35, 15 October 2020 (UTC)
::: I currently have not the time to read and study a lot of text. I read your last additions but maybe not as carefully as you may expect. I have no experience with quartertone music so far, so I probably have difficulties with things that are obvious in your eyes. If I look at it from a mathematical perspective, I only see that the higher the p-limit, the higher the density of fractions between 1 and 2. But please don't let my personal objections stop you from working out your theories in the Wiki. You are welcome to do so in the main namespace of the wiki; it's really not that new pages would have to be created as subpages of the user page and then go through a review process. And I have far too little knowledge of and experience with microtonal music to be a suitable "examiner". --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 18:35, 15 October 2020 (UTC)
:::: Okay, if that's the case, do you think that Kite and Flora could be of help? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 18:58, 15 October 2020 (UTC)


:: All I know in this case is that if the 3-limit is used to assign pitch relations between the standard notes, and you want to have a standard for assigning pitch relations for keys like G-Demisharp Major, which Jacob Collier uses in his rendition of "In the Bleak Midwinter", we need some sort of relatively simple limit by which we can build off of the 3-limit in order to access such keys.  Furthermore, we need to ensure maximal separation from the standard keys in a case like this.  It may be true that when the rastma isn't tempered out, there's multiple possibilities, but given what I demonstrated on constructing a 9/8 whole tone using just four 11-limit intervals in my recent response to Kite's recent comments on [[Talk:159edo_notation#My_Second_Idea_for_a_Notation System|the talk page for 159edo notation]], I can't help but think that 33/32 is bound to be perhaps the most important among quartertones, especially in light of the one example of a stack of three 33/32 parachromatic quartertones plus a [[4096/3993]] paradiatonic quartertone adding up to a full 9/8 whole tone- you can't get much more straightforward in adding up quartertones than that. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 18:19, 15 October 2020 (UTC)
:: All I know in this case is that if the 3-limit is used to assign pitch relations between the standard notes, and you want to have a standard for assigning pitch relations for keys like G-Demisharp Major, which Jacob Collier uses in his rendition of "In the Bleak Midwinter", we need some sort of relatively simple limit by which we can build off of the 3-limit in order to access such keys.  Furthermore, we need to ensure maximal separation from the standard keys in a case like this.  It may be true that when the rastma isn't tempered out, there's multiple possibilities, but given what I demonstrated on constructing a 9/8 whole tone using just four 11-limit intervals in my recent response to Kite's recent comments on [[Talk:159edo_notation#My_Second_Idea_for_a_Notation System|the talk page for 159edo notation]], I can't help but think that 33/32 is bound to be perhaps the most important among quartertones, especially in light of the one example of a stack of three 33/32 parachromatic quartertones plus a [[4096/3993]] paradiatonic quartertone adding up to a full 9/8 whole tone- you can't get much more straightforward in adding up quartertones than that. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 18:19, 15 October 2020 (UTC)