Lumatone mapping for 69edo: Difference between revisions

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Despite the missing notes, [[Bryan Deister]] has demonstrated the flat fifth ([[patent val]]) diatonic mapping in [https://www.youtube.com/shorts/4XBELeySMPk ''Compass - Mili (microtonal cover in 69edo)''] (2025).

== Devichromic Octacot + off-beat Ogene ==

The [[6L 3s]] mapping is 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. ~~That said~~, 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. 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 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)

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.)

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 {{Lumatone EDO mapping|n=69|start=18|xstep=13|ystep=-11}}
+Despite the missing notes, [[Bryan Deister]] has demonstrated the flat fifth ([[patent val]]) diatonic mapping in [https://www.youtube.com/shorts/4XBELeySMPk ''Compass - Mili (microtonal cover in 69edo)''] (2025).
 {{Lumatone EDO mapping|n=69|start=63|xstep=11|ystep=-4}}
 == Devichromic Octacot + off-beat Ogene ==
-The [[6L&nbsp;3s]] mapping is 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. That said, 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. 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 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)
+The [[6L&nbsp;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.)
 {{Lumatone EDO mapping|n=69|start=0|xstep=9|ystep=-4}}
 {{Navbox Lumatone}}