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| Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:33, 26 May 2025 (UTC) | | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:33, 26 May 2025 (UTC) |
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| == Devichromic Octacot + off-beat Ogene Lumatone mappings == | | == Devichromic Lumatone mappings == |
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| === 69edo (demonstrated to work) ===
| | This has proliferated, and thus has been moved to its own [[User:Lucius Chiaraviglio/Keyboard Layout Lab/Devichromic Lumatone mappings|Devichromic Lumatone mappings]] page. |
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| The [[6L 3s]] mapping was originally meant to get as many notes of [[69edo]] as possible onto the space available on existing Lumatones, rather than attempting to fit any particular temperament. However, moving down and right yields 5\69, which maps as [[20/19]] ~ [[21/20]] (69edo tempers out [[400/399]]) and can be interpreted as [[Augmented_family#Ogene|Ogene]] with the 69bceef val; however, that is a val with an awful lot of warts, so perhaps the better temperament interpretation would be to take advantage of eight of this generator mapping to the patent fifth (40\69), making the temperament a Devichromic Octacot (NOT the [[Tetracot_family#Octacot|Octacot of the Tetracot family]]); no article about Devichromic Octacot temperament is currently available (and even if one was, the temperament would likely get a different permanent name), but an article about [[Devichromic chords]] exists. In addition to easy access to the patent fifth as noted above, three generators yield a somewhat flat ~[[7/6]]; four of them yield a near-just ~[[11/9]]; five of them yield a near-just ~[[9/7]]; seven of them yield a mildly flat ~[[10/7]]; and nine of them yield a near-just ~[[11/7]]. This mapping gets just short of four full octaves, with no missed notes and a very slight slope. [[Bryan Deister]] has demonstrated this mapping for [[69edo]] in [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025). (For maximally efficient fitting of note 0 to note 0 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)
| | Moved: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:50, 31 May 2025 (UTC) |
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| {{Lumatone EDO mapping|n=69|start=0|xstep=9|ystep=-4}}
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| Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:39, 24 May 2025 (UTC)<br>
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| Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 18:15, 26 May 2025 (UTC)
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| == Diaschismic Lumatone mappings == | | == Diaschismic Lumatone mappings == |