User:Lucius Chiaraviglio/Keyboard Layout Lab: Difference between revisions

[[Bryan Deister]] has demonstrated a mapping for [[33edo]] that functions for the [[3L 3s]] (7:4 step ratio) [[Augmented]] ([[Augmented family#Triforce|Triforce]], 33d val) and [[8L 1s]] (4:1 step ratio) [[Bohpier]] (33cd val) temperaments, in [https://www.youtube.com/watch?v=GypR6x_Ih1I ''33edo jam''] (2025). The rightward 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 five octaves, which slope moderately downwards, resulting in a vertical wraparound.

Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:09, 2 August 2025 (UTC)