Talk:Meantone: Difference between revisions

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: Another way to think of this extension is by starting with [https://sintel.pythonanywhere.com/result?subgroup=2.3.5.13.23&reduce=on&weights=weil&target=&edos=&commas=81%2F80%0D%0A625%2F624%0D%0A576%2F575&submit_comma=submit tunbarsmic meantone] and stacking 13/12 twice to reach 7/6 (tempering out [[169/168]]); since all octave-reduced harmonics are now flat, the error can then be mitigated somewhat by octave stretching. [[User:Recentlymaterialized|recentlymaterialized]] ([[User_talk:Recentlymaterialized|talk]]) 20:13, 16 June 2025 (UTC)

:: Indeed, if I put [-4, 4, -1, 0, 0, 0⟩ (81:80), [-3, -1, 0, -1, 2, 0⟩ (169:168), [6, 2, -2, 0, 0, -1⟩ (576:575), [-4, -1, 4, 0, -1, 0⟩ (625:624) into x31eq temperament finder, I get 19, 38df, 69p, 50d, 88f, 31d, 57ddf, 107bf, 12ddf, 76ddff — way too many warts in most cases (and an 'f' wart is rather nasty to foist upon 107b since the patent 13th harmonic is near-just), but 19edo and 67edo have their patent vals. [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:14, 17 June 2025 (UTC)

Revision as of 20:13, 16 June 2025 view source Recentlymaterialized (talk \| contribs) 237 edits →Unlisted(?) strong 7-limit Meantone extension (maybe related to Catasyc or Laruquadbiyoti?) ← Older edit		Revision as of 06:14, 17 June 2025 view source Lucius Chiaraviglio (talk \| contribs) 1,167 edits →Unlisted(?) strong 7-limit Meantone extension (maybe related to Catasyc or Laruquadbiyoti?): Tunbarsmic Meantone? Newer edit →
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	: Another way to think of this extension is by starting with [https://sintel.pythonanywhere.com/result?subgroup=2.3.5.13.23&reduce=on&weights=weil&target=&edos=&commas=81%2F80%0D%0A625%2F624%0D%0A576%2F575&submit_comma=submit tunbarsmic meantone] and stacking 13/12 twice to reach 7/6 (tempering out [[169/168]]); since all octave-reduced harmonics are now flat, the error can then be mitigated somewhat by octave stretching. [[User:Recentlymaterialized\|recentlymaterialized]] ([[User_talk:Recentlymaterialized\|talk]]) 20:13, 16 June 2025 (UTC)		: Another way to think of this extension is by starting with [https://sintel.pythonanywhere.com/result?subgroup=2.3.5.13.23&reduce=on&weights=weil&target=&edos=&commas=81%2F80%0D%0A625%2F624%0D%0A576%2F575&submit_comma=submit tunbarsmic meantone] and stacking 13/12 twice to reach 7/6 (tempering out [[169/168]]); since all octave-reduced harmonics are now flat, the error can then be mitigated somewhat by octave stretching. [[User:Recentlymaterialized\|recentlymaterialized]] ([[User_talk:Recentlymaterialized\|talk]]) 20:13, 16 June 2025 (UTC)

			:: Indeed, if I put [-4, 4, -1, 0, 0, 0⟩ (81:80), [-3, -1, 0, -1, 2, 0⟩ (169:168), [6, 2, -2, 0, 0, -1⟩ (576:575), [-4, -1, 4, 0, -1, 0⟩ (625:624) into x31eq temperament finder, I get 19, 38df, 69p, 50d, 88f, 31d, 57ddf, 107bf, 12ddf, 76ddff — way too many warts in most cases (and an 'f' wart is rather nasty to foist upon 107b since the patent 13th harmonic is near-just), but 19edo and 67edo have their patent vals. [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:14, 17 June 2025 (UTC)