Talk:Meantone family: Difference between revisions

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:::::: Fine with that proposal. --[[User:Lériendil|Lériendil]] ([[User talk:Lériendil|talk]]) 16:42, 25 August 2025 (UTC)

::::::: > meanpop extensions

::::::: Septimal meantone covers the full range from 19 to 12, with 19edo being the turning point of prime 7's tuning; this is established in multiple places in the page. For example, we have five extensions in the overview section in which prime 7 alternates between a sixth and a seventh.

::::::: Lucius' extension is different not for its complexity but for mapping prime 7 to a fifth, which isn't really comparable with septimal meantone or flattone. You can always find more and more accurate mappings of the prime by mapping it to more and more remote steps, and altho some of them are reasonable, you can't take it for granted that they supersede part of the basic mappings' ranges, in this case the bottommost part of septimal meantone.

::::::: Therefore, I still think we ''can'' document 19 & 50, but I'm also totally fine with suspending it for the time being.

::::::: > meanenneadecal vs vincenzo

::::::: Since the data shows no clear advantage of vincenzo over meanenneadecal (badness-wise it's actually a little worse), I'm not for switching the root's name, but I'm fine with decanonicalizing 13-limit meanenneadecal by either changing the name of 13-limit meanenneadecal or changing the root's name to something different from both.

::::::: [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:55, 26 August 2025 (UTC)

@@ Line 272: / Line 272: @@
 :::::: Fine with that proposal. --[[User:Lériendil|Lériendil]] ([[User talk:Lériendil|talk]]) 16:42, 25 August 2025 (UTC)
+::::::: > meanpop extensions
+::::::: Septimal meantone covers the full range from 19 to 12, with 19edo being the turning point of prime 7's tuning; this is established in multiple places in the page. For example, we have five extensions in the overview section in which prime 7 alternates between a sixth and a seventh.
+::::::: Lucius' extension is different not for its complexity but for mapping prime 7 to a fifth, which isn't really comparable with septimal meantone or flattone. You can always find more and more accurate mappings of the prime by mapping it to more and more remote steps, and altho some of them are reasonable, you can't take it for granted that they supersede part of the basic mappings' ranges, in this case the bottommost part of septimal meantone.
+::::::: Therefore, I still think we ''can'' document 19 & 50, but I'm also totally fine with suspending it for the time being.
+::::::: > meanenneadecal vs vincenzo
+::::::: Since the data shows no clear advantage of vincenzo over meanenneadecal (badness-wise it's actually a little worse), I'm not for switching the root's name, but I'm fine with decanonicalizing 13-limit meanenneadecal by either changing the name of 13-limit meanenneadecal or changing the root's name to something different from both.
+::::::: [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:55, 26 August 2025 (UTC)