Talk:Chromatic pairs: Difference between revisions

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::: Sorry, I might not have been clear, I didn't mean to imply that these 4 assumptions were Ganaram inukshuk's; rather, they are most likely Gene Ward Smith's, assuming he's the one to have come up with the terms ''albitonic'' an such (although I think ''haplotonic'' came later), and I'm stating them as general properties one is likely to generalize out of the diatonic scale in general.

::: Anyway, I believe it's important to keep in mind that another way to think of "albitonic" is "what scale should go on the white keys of a piano-like keyboard", and similarly "haplotonic" describes the scale that goes on the black keys, such that the combination of all keys is the corresponding chromatic scale. In the porcupine example, you would use 1L 6s for haplotonic (7 notes), 7L 1s for albitonic (8 notes) and 7L 8s for chromatic (15 notes). This corresponds to the usual porcupine keyboard layout. I think the structure of decomposing a chromatic scale in two subscales is more important, especially since it is actually possible to preserve that property integrally, while the number of notes is fated to fall outside of the usual 5/7/12-note forms, so I don't think we should try to enforce it artificially. In fact, the 3rd assumption, which ensures that the chromatic scale's size is equal to the sum of the other two scales' sizes, could be used to solve otherwise weird cases, such as Barton, which would be decomposed as 11+13=24 instead of 5/7/11, even though it's very tempting to treat 5 and 7 as haplotonic and albitonic respectively; it wouldn't make sense to me to try building a piano-like layout with scales of size 5/7/11, but 11+13 would be an almost trivial generalization of the diatonic layout. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 02:58, 25 May 2023 (UTC)

:::: Adopting the definition (haplotonic) + (albitonic) = (chromatic) reinforces the position that they are a pair rather than a triple, because haplotonic is not necessarily the direct parent of albitonic, and multiple albitonic-chromatic pairs will share the same haplotonic. Extreme case: (1L)+(1L 2s)=(3L 1s), (1L)+(1L 6s)=(7L 1s), ... Known case: (2L 3s)+(5L 2s)=(5a 7b), (2L 3s)+(5L 7s)=(5a 12b), ... --[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 15:40, 18 November 2024 (UTC)

== Huxley ==

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 ::: Sorry, I might not have been clear, I didn't mean to imply that these 4 assumptions were Ganaram inukshuk's; rather, they are most likely Gene Ward Smith's, assuming he's the one to have come up with the terms ''albitonic'' an such (although I think ''haplotonic'' came later), and I'm stating them as general properties one is likely to generalize out of the diatonic scale in general.
 ::: Anyway, I believe it's important to keep in mind that another way to think of "albitonic" is "what scale should go on the white keys of a piano-like keyboard", and similarly "haplotonic" describes the scale that goes on the black keys, such that the combination of all keys is the corresponding chromatic scale. In the porcupine example, you would use 1L 6s for haplotonic (7 notes), 7L 1s for albitonic (8 notes) and 7L 8s for chromatic (15 notes). This corresponds to the usual porcupine keyboard layout. I think the structure of decomposing a chromatic scale in two subscales is more important, especially since it is actually possible to preserve that property integrally, while the number of notes is fated to fall outside of the usual 5/7/12-note forms, so I don't think we should try to enforce it artificially. In fact, the 3rd assumption, which ensures that the chromatic scale's size is equal to the sum of the other two scales' sizes, could be used to solve otherwise weird cases, such as Barton, which would be decomposed as 11+13=24 instead of 5/7/11, even though it's very tempting to treat 5 and 7 as haplotonic and albitonic respectively; it wouldn't make sense to me to try building a piano-like layout with scales of size 5/7/11, but 11+13 would be an almost trivial generalization of the diatonic layout. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 02:58, 25 May 2023 (UTC)
+:::: Adopting the definition (haplotonic) + (albitonic) = (chromatic) reinforces the position that they are a pair rather than a triple, because haplotonic is not necessarily the direct parent of albitonic, and multiple albitonic-chromatic pairs will share the same haplotonic. Extreme case: (1L)+(1L 2s)=(3L 1s), (1L)+(1L 6s)=(7L 1s), ... Known case: (2L 3s)+(5L 2s)=(5a 7b), (2L 3s)+(5L 7s)=(5a 12b), ...  --[[User:Dummy index|Dummy index]] ([[User talk:Dummy index|talk]]) 15:40, 18 November 2024 (UTC)
 == Huxley ==