Talk:IFDO: Difference between revisions

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: [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:40, 28 March 2023 (UTC)

::# I'm sorry, but you are simply wrong to disagree with my point that you used "arithmetic" differently than Shaahin. Frequency being implied as the default measurement is the ''only valid'' way to see this. If you check the link provided, it is absolutely clear that Shaahin intended it to refer to arithmetic sequences/progressions, and ''not'' to the arithmetic mean. I'm sorry that using arithmetic for anything other than frequency bugs you, but this is the way it has been done since 2006 and I hope that even if it doesn't work for you that you will respect those for whom it has been working well.

::# Yes, the M stands for mean. It's possible that you're using "sequence" and "division" differently than they are used in the existing system; I cannot understand what a "sequence division" could be in terms of what has already been established, since those are two mutually exclusive tuning types: one open-ended, the other periodic. I wasn't explicit about this in my previous post, but this application of power means to equal-step tunings applies well for both divisions and sequences. That is, I would expect that an [[EFD]] (equal frequency division) would be equivalent to a 1MD (1-mean division), and an [[AFS]] (arithmetic frequency sequence) would be equivalent to a 1MS (1-mean sequence); similarly, an [[ELD]] (equal length division) would be equivalent to a (-1)MD ((-1)-mean division) and an [[ALS]] (arithmetic length sequence) would be equivalent to a (-1)MS ((-1)-mean sequence). The same for E(P)D = 0MD and APS = 0MS, too.

::# I think AMD for "arithmetic mean division" as a substitute for 1MD, GMD for "geometric mean division" as a substitute for 0MD, and HMD for "harmonic mean division" as a substitute for (-1)MD, would all be fine. Using simply AD and HD (or ID) is not acceptable, because it is incompatible with ED, implying that in an ED, the frequencies of pitches are related to their immediate neighbors by the "equal mean" of their frequencies; however, the "equal mean" does not exist, so this is not true. The established system simply assumes pitch to have naturally been the default resource, and so an ED is an E(P)D, and this was extended to EFD and ELD.

:: --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 18:23, 28 March 2023 (UTC)

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 : [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:40, 28 March 2023 (UTC)
+::# I'm sorry, but you are simply wrong to disagree with my point that you used "arithmetic" differently than Shaahin. Frequency being implied as the default measurement is the ''only valid'' way to see this. If you check the link provided, it is absolutely clear that Shaahin intended it to refer to arithmetic sequences/progressions, and ''not'' to the arithmetic mean. I'm sorry that using arithmetic for anything other than frequency bugs you, but this is the way it has been done since 2006 and I hope that even if it doesn't work for you that you will respect those for whom it has been working well.
+::# Yes, the M stands for mean. It's possible that you're using "sequence" and "division" differently than they are used in the existing system; I cannot understand what a "sequence division" could be in terms of what has already been established, since those are two mutually exclusive tuning types: one open-ended, the other periodic. I wasn't explicit about this in my previous post, but this application of power means to equal-step tunings applies well for both divisions and sequences. That is, I would expect that an [[EFD]] (equal frequency division) would be equivalent to a 1MD (1-mean division), and an [[AFS]] (arithmetic frequency sequence) would be equivalent to a 1MS (1-mean sequence); similarly, an [[ELD]] (equal length division) would be equivalent to a (-1)MD ((-1)-mean division) and an [[ALS]] (arithmetic length sequence) would be equivalent to a (-1)MS ((-1)-mean sequence). The same for E(P)D = 0MD and APS = 0MS, too.
+::# I think AMD for "arithmetic mean division" as a substitute for 1MD, GMD for "geometric mean division" as a substitute for 0MD, and HMD for "harmonic mean division" as a substitute for (-1)MD, would all be fine. Using simply AD and HD (or ID) is not acceptable, because it is incompatible with ED, implying that in an ED, the frequencies of pitches are related to their immediate neighbors by the "equal mean" of their frequencies; however, the "equal mean" does not exist, so this is not true. The established system simply assumes pitch to have naturally been the default resource, and so an ED is an E(P)D, and this was extended to EFD and ELD.
+:: --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 18:23, 28 March 2023 (UTC)