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:::::::::::::: I can already tell that the linear tones from bass-up operations correspond to a strikingly different sort of operation for their treble-down counterparts.  --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 20:50, 12 September 2020 (UTC)
:::::::::::::: I can already tell that the linear tones from bass-up operations correspond to a strikingly different sort of operation for their treble-down counterparts.  --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 20:50, 12 September 2020 (UTC)
:::::::::::::: Okay, I've tested out twelve-tempered versions chord on the piano, and it sounds every bit as consonant as the twelve-tempered version of the original 2:3:5:8 chord once all known relational factors between bass-up tonality and treble-down tonality are accounted for, and this is despite the rather obvious lack of linearity.  Something is afoot here... we just need to find out what... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:04, 12 September 2020 (UTC)