Talk:Meantone family: Difference between revisions

Line 148:

: I believe furthermore that 11-limit "meanenneadecal" should be renamed to "vincenzo" (which there is already precedent for, with 2.9.5.7.11 leantone referred to as "every other step of '''vincenzo'''"), and that tridecimal meantone should be decanonicalized (also that 11-limit huygens should be called huygens and not "undecimal meantone"). I don't believe any pathways extending from either flattone or septimal meantone to the 19-limit, other than these 8, are worth preserving. --[[User:Lériendil|Lériendil]] ([[User talk:Lériendil|talk]]) 06:33, 24 August 2025 (UTC)

::

:: '''Meantone extensions'''

::* to 7

::** "septimal meantone" (+10); sharp of 19edo

::** "flattone" (-9); flat of 19edo

::* to 11

::** "hypnotone" (+6); flat of 19edo

::** "meanpop" (-13); sharp of 19edo & flat of 31edo

::** "huygens" (+18); sharp of 31edo

::* to 13

::** "vincenzo" (-4); flat of 19edo

::** "meanpop" (+15); sharp of 19edo & flat of 31edo

::** "grosstone" (-16); sharp of 31edo & flat of 43edo

::** "meridetone" (+27); sharp of 43edo

::* to 17 & 19 (note all equate 19/17 to 2 gens)

::** "meantonic" (+26); sharp of 19edo & flat of 31edo

::** "huygens" (-5); sharp of 31edo & flat of 12edo

::** "roulette" (-36); sharp of 31edo & flat of 74edo

::** "mediantone" (+38); sharp of 74edo & flat of 43edo

:: For further reference, I included here a chart of the different meantone extensions, also transcluded from Discord, referring to individual mappings of each prime by name. --[[User:Lériendil|Lériendil]] ([[User talk:Lériendil|talk]]) 06:43, 24 August 2025 (UTC)

@@ Line 148: / Line 148: @@
 : I believe furthermore that 11-limit "meanenneadecal" should be renamed to "vincenzo" (which there is already precedent for, with 2.9.5.7.11 leantone referred to as "every other step of '''vincenzo'''"), and that tridecimal meantone should be decanonicalized (also that 11-limit huygens should be called huygens and not "undecimal meantone"). I don't believe any pathways extending from either flattone or septimal meantone to the 19-limit, other than these 8, are worth preserving. --[[User:Lériendil|Lériendil]] ([[User talk:Lériendil|talk]]) 06:33, 24 August 2025 (UTC)
+::
+:: '''Meantone extensions'''
+::* to 7
+::** "septimal meantone" (+10); sharp of 19edo
+::** "flattone" (-9); flat of 19edo
+::* to 11
+::** "hypnotone" (+6); flat of 19edo
+::** "meanpop" (-13); sharp of 19edo & flat of 31edo
+::** "huygens" (+18); sharp of 31edo
+::* to 13
+::** "vincenzo" (-4); flat of 19edo
+::** "meanpop" (+15); sharp of 19edo & flat of 31edo
+::** "grosstone" (-16); sharp of 31edo & flat of 43edo
+::** "meridetone" (+27); sharp of 43edo
+::* to 17 & 19 (note all equate 19/17 to 2 gens)
+::** "meantonic" (+26); sharp of 19edo & flat of 31edo
+::** "huygens" (-5); sharp of 31edo & flat of 12edo
+::** "roulette" (-36); sharp of 31edo & flat of 74edo
+::** "mediantone" (+38); sharp of 74edo & flat of 43edo
+:: For further reference, I included here a chart of the different meantone extensions, also transcluded from Discord, referring to individual mappings of each prime by name. --[[User:Lériendil|Lériendil]] ([[User talk:Lériendil|talk]]) 06:43, 24 August 2025 (UTC)