Talk:3645/3584: Difference between revisions

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: Hmm, it feels to me much more obvious and natural a name than "schismean comma". I strongly dislike the latter name, while the former couldn't feel more natural to me subjectively s.t potential ambiguity is the only issue. Do you have a better suggestion as to what the diesis-sized comma between (9/8)<sup>3</sup> and the tritone-sized LCJI interval 7/5 should be called? And either way, I'd be curious if anyone else objects to this name... --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 16:14, 27 July 2026 (UTC)

: I also don't fully buy the argument that "tritonic diesis" is reserved, as 50/49 is called the ''small septimal diesis'', and 49/48 is called the ''large septimal diesis'', where the latter is ambiguous with 36/35 which has sometimes been called by the same name. So if anything, either 36/35 is the ''largest septimal diesis'' (which intuitively feels at least correct) or 49/48 is to be the ''medium septimal diesis''. It should also maybe be noted that it's smaller than 50/49, s.t we have a small and large tritonic diesis (this and 50/49) and a small and large septimal diesis (49/48 and 36/35). --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 16:22, 27 July 2026 (UTC)

: I also don't fully buy the argument that "tritonic diesis" is reserved, as 50/49 is called the ''small septimal diesis'', and 49/48 is called the ''large septimal diesis'', where the latter is ambiguous with 36/35 which has sometimes been called by the same name. So if anything, either 36/35 is the ''largest septimal diesis'' (which intuitively feels at least correct) or 49/48 is to be the ''medium septimal diesis''. It should also maybe be noted that it's smaller than 50/49, s.t we have a small and large (septimal) tritonic diesis (this and 50/49) and a small and large septimal diesis (49/48 and 36/35). --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 16:22, 27 July 2026 (UTC)

:: I mean, just becuz the ''septimal'' modifier was added to the wiki article on 50/49 for maximal clarity doesn't mean ''tritonic diesis'' no longer refers to it. Just like 9/8 is presented as ''Pythagorean whole tone'' and it doesn't mean you can assign ''whole tone'' to another interval uniquely. I think these names are as bad. ''Schismean'' uses an obscure schismic extension. ''Tritonic diesis'' overloads itself.

:: > ''Large septimal diesis'' is ambiguous with 36/35.

:: Not that I know of. 36/35 is either ambiguously referred to as a ''septimal comma''/''diesis'', or effectively unambiguously the ''septimal quartertone''.

:: —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 06:37, 28 July 2026 (UTC)

::: Do you have a suggestion for a name for this interval? Cuz I do genuinely believe it is a kind of diesis, and one that is easily discoverable and not unfamiliar to xen theorists to do with tritones. I'd be more than happy to scrap the name for another name involving "diesis" if that's your only concern. (I'd suggest "meantone diesis" as it's basically characteristic of meantone but that's a bit ambiguous potentially...) --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 16:06, 28 July 2026 (UTC)

:::: I do agree this is a kind of diesis, but I think the new name should solve the name for the corresponding temperament too. ''Meantone diesis'' is indeed not very clear, as it may refer to the d2 in meantone. So, I suggest ''abercomma''/''aberdiesis'', cuz this interval is a Pythagorean comma + an aberschisma. The temperament? ''Abercommic''/''aberdietic'', I suppose. (I don't feel strongly about comma vs diesis here tho it should be noted it's smaller than Sagittal's range of a diesis. Not that I treat Sagittal as an absolute authority but still.) —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 20:04, 28 July 2026 (UTC)

::::: I like ''aberdiesis'', especially since 3645/3584 the enharmonic diesis in aberschismic temperament. I tend to assume this as a structural meaning rather than size-based, especially because Sagittal's range of diesis excludes the Pythagorean comma for some strange reason, despite that interval being the absolute 'de facto' diesis of the 3-limit. [[User:Unque|Unque]] ([[User talk:Unque|talk]]) 20:24, 28 July 2026 (UTC)

::::: I strongly support ''aberdiesis'' as to me it justifies the otherwise-senseless rename of [[5120/5103]] = [[64/63|S8]]/[[81/80|S9]], as it's clearly related. --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 21:45, 28 July 2026 (UTC)

@@ Line 7: / Line 7: @@
 : Hmm, it feels to me much more obvious and natural a name than "schismean comma". I strongly dislike the latter name, while the former couldn't feel more natural to me subjectively s.t potential ambiguity is the only issue. Do you have a better suggestion as to what the diesis-sized comma between (9/8)<sup>3</sup> and the tritone-sized LCJI interval 7/5 should be called? And either way, I'd be curious if anyone else objects to this name... --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 16:14, 27 July 2026 (UTC)
-: I also don't fully buy the argument that "tritonic diesis" is reserved, as 50/49 is called the ''small septimal diesis'', and 49/48 is called the ''large septimal diesis'', where the latter is ambiguous with 36/35 which has sometimes been called by the same name. So if anything, either 36/35 is the ''largest septimal diesis'' (which intuitively feels at least correct) or 49/48 is to be the ''medium septimal diesis''. It should also maybe be noted that it's smaller than 50/49, s.t we have a small and large tritonic diesis (this and 50/49) and a small and large septimal diesis (49/48 and 36/35). --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 16:22, 27 July 2026 (UTC)
+: I also don't fully buy the argument that "tritonic diesis" is reserved, as 50/49 is called the ''small septimal diesis'', and 49/48 is called the ''large septimal diesis'', where the latter is ambiguous with 36/35 which has sometimes been called by the same name. So if anything, either 36/35 is the ''largest septimal diesis'' (which intuitively feels at least correct) or 49/48 is to be the ''medium septimal diesis''. It should also maybe be noted that it's smaller than 50/49, s.t we have a small and large (septimal) tritonic diesis (this and 50/49) and a small and large septimal diesis (49/48 and 36/35). --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 16:22, 27 July 2026 (UTC)
+:: I mean, just becuz the ''septimal'' modifier was added to the wiki article on 50/49 for maximal clarity doesn't mean ''tritonic diesis'' no longer refers to it. Just like 9/8 is presented as ''Pythagorean whole tone'' and it doesn't mean you can assign ''whole tone'' to another interval uniquely. I think these names are as bad. ''Schismean'' uses an obscure schismic extension. ''Tritonic diesis'' overloads itself.
+:: > ''Large septimal diesis'' is ambiguous with 36/35.
+:: Not that I know of. 36/35 is either ambiguously referred to as a ''septimal comma''/''diesis'', or effectively unambiguously the ''septimal quartertone''.
+:: —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 06:37, 28 July 2026 (UTC)
+::: Do you have a suggestion for a name for this interval? Cuz I do genuinely believe it is a kind of diesis, and one that is easily discoverable and not unfamiliar to xen theorists to do with tritones. I'd be more than happy to scrap the name for another name involving "diesis" if that's your only concern. (I'd suggest "meantone diesis" as it's basically characteristic of meantone but that's a bit ambiguous potentially...) --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 16:06, 28 July 2026 (UTC)
+:::: I do agree this is a kind of diesis, but I think the new name should solve the name for the corresponding temperament too. ''Meantone diesis'' is indeed not very clear, as it may refer to the d2 in meantone. So, I suggest ''abercomma''/''aberdiesis'', cuz this interval is a Pythagorean comma + an aberschisma. The temperament? ''Abercommic''/''aberdietic'', I suppose. (I don't feel strongly about comma vs diesis here tho it should be noted it's smaller than Sagittal's range of a diesis. Not that I treat Sagittal as an absolute authority but still.) —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 20:04, 28 July 2026 (UTC)
+::::: I like ''aberdiesis'', especially since 3645/3584 the enharmonic diesis in aberschismic temperament.  I tend to assume this as a structural meaning rather than size-based, especially because Sagittal's range of diesis excludes the Pythagorean comma for some strange reason, despite that interval being the absolute 'de facto' diesis of the 3-limit. [[User:Unque|Unque]] ([[User talk:Unque|talk]]) 20:24, 28 July 2026 (UTC)
+::::: I strongly support ''aberdiesis'' as to me it justifies the otherwise-senseless rename of [[5120/5103]] = [[64/63|S8]]/[[81/80|S9]], as it's clearly related. --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 21:45, 28 July 2026 (UTC)