Talk:7/4: Difference between revisions

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::::: I have the impression that we still have little experience in generalizing the multiplication of intervals, so the combinability of fifths is certainly undisputed, but on the other hand it is strongly oriented towards functional harmony since the Baroque. I don't know any other interval that could perform such an axis function, although I can imagine that one could try it with the third. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 22:45, 25 October 2020 (UTC)

:::::: Remember what I said about the 11-limit being mathematically derivable as an excellent representation for quartertones in terms of ratio simplicity? One of the implications of this excellent representation is that the paramajor fourth (that is, 11/8) can- and indeed it does- perform an axis function where quartertones are concerned. I've since checked the 11-limit's representation of quartertones against that of the intervals called "quarter tones" [https://en.wikipedia.org/wiki/List_of_pitch_intervals on Wikipedia's list of pitch intervals] and found the 11-limit's 33/32 to be better than any of them in terms of ratio simplicity. (multiple comments combined and edited by --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 23:02, 25 October 2020 (UTC))

:::::: Remember what I said about the 11-limit being mathematically derivable as an excellent representation for quartertones in terms of ratio simplicity? One of the implications of this excellent representation- particualarly in light of the way it plays out- is that the paramajor fourth (that is, 11/8) can- and indeed it does- perform an axis function where quartertones are concerned. I've since checked the 11-limit's representation of quartertones against that of the intervals called "quarter tones" [https://en.wikipedia.org/wiki/List_of_pitch_intervals on Wikipedia's list of pitch intervals] and found the 11-limit's 33/32 to be better than any of them in terms of ratio simplicity. (multiple comments combined and edited by --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 23:02, 25 October 2020 (UTC))

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	::::: I have the impression that we still have little experience in generalizing the multiplication of intervals, so the combinability of fifths is certainly undisputed, but on the other hand it is strongly oriented towards functional harmony since the Baroque. I don't know any other interval that could perform such an axis function, although I can imagine that one could try it with the third. --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 22:45, 25 October 2020 (UTC)		::::: I have the impression that we still have little experience in generalizing the multiplication of intervals, so the combinability of fifths is certainly undisputed, but on the other hand it is strongly oriented towards functional harmony since the Baroque. I don't know any other interval that could perform such an axis function, although I can imagine that one could try it with the third. --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 22:45, 25 October 2020 (UTC)

	:::::: Remember what I said about the 11-limit being mathematically derivable as an excellent representation for quartertones in terms of ratio simplicity? One of the implications of this excellent representation is that the paramajor fourth (that is, 11/8) can- and indeed it does- perform an axis function where quartertones are concerned. I've since checked the 11-limit's representation of quartertones against that of the intervals called "quarter tones" [https://en.wikipedia.org/wiki/List_of_pitch_intervals on Wikipedia's list of pitch intervals] and found the 11-limit's 33/32 to be better than any of them in terms of ratio simplicity. (multiple comments combined and edited by --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 23:02, 25 October 2020 (UTC))		:::::: Remember what I said about the 11-limit being mathematically derivable as an excellent representation for quartertones in terms of ratio simplicity? One of the implications of this excellent representation- particualarly in light of the way it plays out- is that the paramajor fourth (that is, 11/8) can- and indeed it does- perform an axis function where quartertones are concerned. I've since checked the 11-limit's representation of quartertones against that of the intervals called "quarter tones" [https://en.wikipedia.org/wiki/List_of_pitch_intervals on Wikipedia's list of pitch intervals] and found the 11-limit's 33/32 to be better than any of them in terms of ratio simplicity. (multiple comments combined and edited by --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 23:02, 25 October 2020 (UTC))