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'. 'Tall' and 'tiny' have been added for Tridecimal intervals after a helpful suggestion. 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 ' | ::::: Ah, yes. I should fill you in. 'Bright' and 'baby' have been ditched, replaced with 'Hyper' and 'hypo'. 'Tall' and 'tiny' have been added for Tridecimal intervals after a helpful suggestion. 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 'Über', so I have 'Über' and 'under', though we could make them both German and go with 'Über' and 'unter', which I kind of like actually. Yes I can follow that idea. I would argue 13 is also such a prime. 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, and so 13/10 a type of diminished fourth. 13/10 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 == | ||