Lhearne
Joined 28 January 2021
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:::: On another note, now that you have explained things a bit more, I do agree that we need to be able to notate 7/4 as both a subminor seventh and as a sort of sixth, as that reflects the functional realities concerning that interval. I do not intend to do away with super and sub, though I do think we need to come up with a more consistent strategy for reflecting the functional realities. To that end, I propose that we restrict the arithmetic ambiguities to primes that are more readily characterized by equivalent functional ambiguities, such as the 7-prime. For instance, the pentacircle comma allows us to access the functionality of 7/4 as a third relative to 11/8, and thus, as a sixth, while the Archytas' Subchroma allows us access to 7/4 when it acts as a subminor seventh- yes, I'm calling 64/63 "Archytas' Subchroma" for the moment because it often does have a sort of chromatic function when not treated as a comma. I hope this idea makes more sense. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 00:03, 24 February 2021 (UTC) | :::: On another note, now that you have explained things a bit more, I do agree that we need to be able to notate 7/4 as both a subminor seventh and as a sort of sixth, as that reflects the functional realities concerning that interval. I do not intend to do away with super and sub, though I do think we need to come up with a more consistent strategy for reflecting the functional realities. To that end, I propose that we restrict the arithmetic ambiguities to primes that are more readily characterized by equivalent functional ambiguities, such as the 7-prime. For instance, the pentacircle comma allows us to access the functionality of 7/4 as a third relative to 11/8, and thus, as a sixth, while the Archytas' Subchroma allows us access to 7/4 when it acts as a subminor seventh- yes, I'm calling 64/63 "Archytas' Subchroma" for the moment because it often does have a sort of chromatic function when not treated as a comma. I hope this idea makes more sense. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 00:03, 24 February 2021 (UTC) | ||
:::: Ah, yes. I should fill you in. 'Bright' and 'baby' have been ditched, replaced with 'Hyper' and'hypo'. For Oceanic intervals I'm going with 'Obtuse' and 'opaque' for now, although 'Over' and 'off' is still an option, and I'm considering after a suggestion to replace 'Up' with 'Uber', so I have 'Uber' and 'under', though we could make them both German and go with 'Uber' and 'unter', which I kind of like actually. Yes I can follow that idea, though I'm not sure I agree. I already have the same sort of ambiguities with 'Hyper' and 'hypo', wherein 13/10 is treated as an Hypermajor third, but 13/8 a type of minor sixth, and 5/4 a type of major third, maybe 13/10 a type of diminished fourth. I would argue 13/10 is characterized by being ambiguous in this way. It sounds as something between a major third and a fourth and in some edos (eg. 27edo and 37edo), the diatonic major third is 13/10 (as well as 9/7 in those cases). Perhaps that's where to leave it, but I think these sorts of ambiguities will always occur, and I want an scheme that allows both possibilities in all cases. --[[User:Lhearne|Lhearne]] ([[User talk:Lhearne|talk]]) 02:17, 24 February 2021 (UTC) | |||
== Notation and Well-Ordered Naming Systems == | == Notation and Well-Ordered Naming Systems == | ||