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| {{Lumatone EDO mapping|n=33|start=5|xstep=10|ystep=-7}} | | {{Lumatone EDO mapping|n=33|start=5|xstep=10|ystep=-7}} |
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| == Augmented (Triforce) + Bohpier Lumatone mappings == | | == Augmented (triforce) + bohpier Lumatone mappings == |
| [[Bryan Deister]] has demonstrated two mappings for [[33edo]] that function for the temperaments [[Augmented]] ([[Augmented family#Triforce|Triforce]], 33d val, [[3L 3s]] scale with 7:4 step ratio) and [[Bohpier]] (33cd val, [[8L 1s]] scale with 4:1 step ratio). The down-right (forward chroma version) or rightward (reverse chroma version) generator is a somewhat flat Alpharabian tendoneutral second ~[[12/11]] which can be stacked to get several consonant intervals; however, some of them map inconsistently. Two of these generators make a near-just neogothic minor third ~[[13/11]], mapped consistently. Three of these generators make a near-just septimal major third ~[[9/7]] by sound, but the mapping only works if 9/7 is constituted as (3♭ × 3♯) ÷ 7 or as 9 ÷ 7♭ (33d val). Four of these generators make a near-just lesser septimal tritone ~[[7/5]], mapped consistently ([[patent val]] or 33cd val). Six of these generators make a flat classic major sixth ~[[5/3]] by sound, but the mapping only works if 5/3 is constituted as 5♭ ÷ 3 (33c val). Seven of these generators make a near-just classic minor seventh ~[[9/5]] by sound, but the mapping only works if 9/5 is constituted as (3♭ × 3♯) ÷ 5 or as 9 ÷ 5♭ (33c val). The range is a bit over six octaves in the forward chroma version or five octaves in the reverse chroma version; in both cases, the octaves slope moderately downwards resulting in a vertical wraparound. | | [[Bryan Deister]] has demonstrated two mappings for [[33edo]] that function for the temperaments [[augmented (temperament)|augmented]] ([[triforce]], 33d val, [[3L 3s]] scale with 7:4 step ratio) and [[bohpier]] (33cd val, [[8L 1s]] scale with 4:1 step ratio). The down-right (forward chroma version) or rightward (reverse chroma version) generator is a somewhat flat Alpharabian tendoneutral second ~[[12/11]] which can be stacked to get several consonant intervals; however, some of them map inconsistently. Two of these generators make a near-just neogothic minor third ~[[13/11]], mapped consistently. Three of these generators make a near-just septimal major third ~[[9/7]] by sound, but the mapping only works if 9/7 is constituted as (3♭ × 3♯) ÷ 7 or as 9 ÷ 7♭ (33d val). Four of these generators make a near-just lesser septimal tritone ~[[7/5]], mapped consistently ([[patent val]] or 33cd val). Six of these generators make a flat classic major sixth ~[[5/3]] by sound, but the mapping only works if 5/3 is constituted as 5♭ ÷ 3 (33c val). Seven of these generators make a near-just classic minor seventh ~[[9/5]] by sound, but the mapping only works if 9/5 is constituted as (3♭ × 3♯) ÷ 5 or as 9 ÷ 5♭ (33c val). The range is a bit over six octaves in the forward chroma version or five octaves in the reverse chroma version; in both cases, the octaves slope moderately downwards resulting in a vertical wraparound. |
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| === Forward chroma === | | === Forward chroma === |
| Demonstrated in [https://www.youtube.com/shorts/mkaaAJEyGFU ''33edo riff''] (2025). | | Demonstrated in [https://www.youtube.com/shorts/mkaaAJEyGFU ''33edo riff''] (2025). |
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| Demonstrated in [https://www.youtube.com/watch?v=GypR6x_Ih1I ''33edo jam''] (2025). | | Demonstrated in [https://www.youtube.com/watch?v=GypR6x_Ih1I ''33edo jam''] (2025). |
| {{Lumatone EDO mapping|n=33|start=15|xstep=4|ystep=3}} | | {{Lumatone EDO mapping|n=33|start=15|xstep=4|ystep=3}} |
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| | == Oneirotonic/Antipentic == |
| | [[Bryan Deister]] has demonstrated a mapping for [[33edo]] that yields both [[5L 3s]] (oneirotonic, 6:1 step ratio) and [[3L 2s]] (antipentic, 7:6 step ratio) scales, in [https://www.youtube.com/shorts/Lf0CCX88w_w ''33edo improv''] (2025). The underlying temperament is [[Buzzardsmic_clan#Buzzard|buzzard]], which treats the sharp fifth as ~[[32/21]] and makes both sharp and patent fifths almost as easy to access. The range is a bit over 4⅔ octaves, with a fair number of repeated notes to mitigate vertical wraparounds and the octaves slope moderately downwards. |
| | {{Lumatone EDO mapping|n=33|start=4|xstep=6|ystep=-5}} |
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| {{Navbox Lumatone}} | | {{Navbox Lumatone}} |
Latest revision as of 16:46, 28 October 2025
There are many conceivable ways to map 33edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
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Terrain
While 33edo is poor at approximating harmonics in general, it does manage several composite ratios within fractions of a cent. The terrain mapping is a particularly efficient way to make those easy to play together.
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Semiquartal
The 4L 1s Semiquartal mapping gives you an even wider range, is a fraction of a cent off the 9-odd limit minmax tuning for beep temperament using the ccd val and is also a significant non patent tuning for godzilla.
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Sephiroth
To maximise your range while covering all the notes and keeping octaves near horizontal, use the 3L 1s layout.
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Augmented (triforce) + bohpier Lumatone mappings
Bryan Deister has demonstrated two mappings for 33edo that function for the temperaments augmented (triforce, 33d val, 3L 3s scale with 7:4 step ratio) and bohpier (33cd val, 8L 1s scale with 4:1 step ratio). The down-right (forward chroma version) or rightward (reverse chroma version) generator is a somewhat flat Alpharabian tendoneutral second ~12/11 which can be stacked to get several consonant intervals; however, some of them map inconsistently. Two of these generators make a near-just neogothic minor third ~13/11, mapped consistently. Three of these generators make a near-just septimal major third ~9/7 by sound, but the mapping only works if 9/7 is constituted as (3♭ × 3♯) ÷ 7 or as 9 ÷ 7♭ (33d val). Four of these generators make a near-just lesser septimal tritone ~7/5, mapped consistently (patent val or 33cd val). Six of these generators make a flat classic major sixth ~5/3 by sound, but the mapping only works if 5/3 is constituted as 5♭ ÷ 3 (33c val). Seven of these generators make a near-just classic minor seventh ~9/5 by sound, but the mapping only works if 9/5 is constituted as (3♭ × 3♯) ÷ 5 or as 9 ÷ 5♭ (33c val). The range is a bit over six octaves in the forward chroma version or five octaves in the reverse chroma version; in both cases, the octaves slope moderately downwards resulting in a vertical wraparound.
Forward chroma
Demonstrated in 33edo riff (2025).
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Reverse chroma
Demonstrated in 33edo jam (2025).
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Oneirotonic/Antipentic
Bryan Deister has demonstrated a mapping for 33edo that yields both 5L 3s (oneirotonic, 6:1 step ratio) and 3L 2s (antipentic, 7:6 step ratio) scales, in 33edo improv (2025). The underlying temperament is buzzard, which treats the sharp fifth as ~32/21 and makes both sharp and patent fifths almost as easy to access. The range is a bit over 4⅔ octaves, with a fair number of repeated notes to mitigate vertical wraparounds and the octaves slope moderately downwards.
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