Talk:IFDO: Difference between revisions

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:::::: Per Fredg999's suggestion, I have started a discussion for GPS on the Discord server: https://discord.com/channels/332357996569034752/1096541142167846962 --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 21:45, 14 April 2023 (UTC)

:::::: Okay, I have a few updates from Dave, who asked for a link to this discussion and then emailed me about it:

:::::: "The equivalences in this table are strictly by reflection across the main diagonal, not by merely being on the same anti-diagonal." I think that's an excellent generalization, and it explains why I got the color wrong for the GPS cell.

:::::: He also noted that in my tables, I should have had "p → 0", not "p = 0" for geometric sequences.

:::::: He also notes that "quadratic" would be a preferable way to refer to the case of p = 2, rather than RMS, as in "quadratic mean" and "quadratic progression", for better parallelism.

:::::: He also notes that "reciprocal-arithmetic mean" would have been better than "inverse-arithmetic mean". In other words, he thinks RFDO would be clearer than IFDO. For example, if we introduce CompactStar's p=2 scale as a QFDO (quadratic frequency division of the octave), then the "inverse-quadratic mean" would be square-root (p = ½) while "reciprocal-quadratic" would be λx.1/x² (p = -2). But I hesitate even to bring this up, since there's been so much critique of this new naming system already.

:::::: --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:13, 19 April 2023 (UTC)

:::::: Dave sent me another email. He points out another issue with the tables I presented above. In the bottom right I have "(of low interest)", but in fact, an ILD is the same thing as an AFD (or as Dave would prefer, because of the "reciprocal" preference over "inverse" issue, an RLD = AFD). --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 17:37, 20 April 2023 (UTC)

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 :::::: Per Fredg999's suggestion, I have started a discussion for GPS on the Discord server: https://discord.com/channels/332357996569034752/1096541142167846962 --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 21:45, 14 April 2023 (UTC)
+:::::: Okay, I have a few updates from Dave, who asked for a link to this discussion and then emailed me about it:
+:::::: "The equivalences in this table are strictly by reflection across the main diagonal, not by merely being on the same anti-diagonal." I think that's an excellent generalization, and it explains why I got the color wrong for the GPS cell.
+:::::: He also noted that in my tables, I should have had "p → 0", not "p = 0" for geometric sequences.
+:::::: He also notes that "quadratic" would be a preferable way to refer to the case of p = 2, rather than RMS, as in "quadratic mean" and "quadratic progression", for better parallelism.
+:::::: He also notes that "reciprocal-arithmetic mean" would have been better than "inverse-arithmetic mean". In other words, he thinks RFDO would be clearer than IFDO. For example, if we introduce CompactStar's p=2 scale as a QFDO (quadratic frequency division of the octave), then the "inverse-quadratic mean" would be square-root (p = ½) while "reciprocal-quadratic" would be λx.1/x² (p = -2). But I hesitate even to bring this up, since there's been so much critique of this new naming system already.
+:::::: --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:13, 19 April 2023 (UTC)
+:::::: Dave sent me another email. He points out another issue with the tables I presented above. In the bottom right I have "(of low interest)", but in fact, an ILD is the same thing as an AFD (or as Dave would prefer, because of the "reciprocal" preference over "inverse" issue, an RLD = AFD). --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 17:37, 20 April 2023 (UTC)