Talk:Meantone: Difference between revisions

Line 400:

: Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:40, 20 December 2025 (UTC)<br>

: Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:46, 20 December 2025 (UTC) (diatonic Lumatone mapping also works as long as you don't run out of notes)

:: Related to the above, if you relax the requirement to be able to divide the fifth into 8 parts and instead 4 parts like Tetracot, you get white might be the [https://x31eq.com/pyscript/uv.html?uvs=81%2F80%0D%0A130321%2F129654&limit=2.3.5.7.19 Meantone relative of Tetracot] like Superpine is the Meantone relative of Porcupine: 2.3.5.7.19 unison vectors [-4, 4, -1, 0, 0⟩ (81/80), [-1, -3, 0, -4, 4⟩ (130321/129654)

:: {BEGIN x31eq OUTPUT}

:: Equal Temperaments

:: 14c, 7dh, 7p, 62, 48c, 55h, 55d, 76h, 69dhh, 21cdhh

:: {END x31eq OUTPUT}

:: Most of those aren't what you would want to count as optimal, and I need to figure out which other comma to put in to whittle down the list of rank-2 temperaments it also gives, but the subset 7 (anchor point), 14c, 55d, 55h (need to figure out which one of these to trim out bu only 55d fits with the above so seems like 55h should go), 62 seems reasonable (although it seems like I should be able to get a 76 without a wart — must be missing something, probably whatever would choose between 55d and 55h).

:: Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:11, 20 December 2025 (UTC)

== Meantone and being regular/rank-2 ==

@@ Line 400: / Line 400: @@
 : Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:40, 20 December 2025 (UTC)<br>
 : Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:46, 20 December 2025 (UTC) (diatonic Lumatone mapping also works as long as you don't run out of notes)
+:: Related to the above, if you relax the requirement to be able to divide the fifth into 8 parts and instead 4 parts like Tetracot, you get white might be the [https://x31eq.com/pyscript/uv.html?uvs=81%2F80%0D%0A130321%2F129654&limit=2.3.5.7.19 Meantone relative of Tetracot] like Superpine is the Meantone relative of Porcupine:  2.3.5.7.19 unison vectors [-4, 4, -1, 0, 0⟩ (81/80), [-1, -3, 0, -4, 4⟩ (130321/129654)
+:: {BEGIN x31eq OUTPUT}
+:: Equal Temperaments
+:: 14c, 7dh, 7p, 62, 48c, 55h, 55d, 76h, 69dhh, 21cdhh
+:: {END x31eq OUTPUT}
+:: Most of those aren't what you would want to count as optimal, and I need to figure out which other comma to put in to whittle down the list of rank-2 temperaments it also gives, but the subset 7 (anchor point), 14c, 55d, 55h (need to figure out which one of these to trim out bu only 55d fits with the above so seems like 55h should go), 62 seems reasonable (although it seems like I should be able to get a 76 without a wart &mdash; must be missing something, probably whatever would choose between 55d and 55h).
+:: Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:11, 20 December 2025 (UTC)
 == Meantone and being regular/rank-2 ==