Lumatone mapping for 27edo: Difference between revisions

[[Bryan Deister]] has demonstrated an [[Augene]] [[3L 3s]] (7:2 step ratio) mapping for [[27edo]], in [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025). The demo video takes the ⅓-octave period very literally, assigning the same color to all notes of a given position within the ⅓-octave, which are all in the same row (which thereby constrains the octaves to slope upwards with the rows). The generator can be taken as 2\27 (down-right), functioning as a sharp large undevicesimal semitone ~[[19/18]] tempered together with several other intervals, including a very flat classic diatonic semitone ~[[16/15]]); or as 7\27 (up, functioning as a highly sharp but still consistent otonal minor third ~[[19/16]] tempered together with a slightly flat classic minor third ~[[6/5]]). Some repeated notes are present to help mitigate vertical wraparounds (needed since the octaves slope up as noted above). Depending upon positioning of the root note, the range can be taken (as shown here) to be eight octaves of which all but the bass and treble octaves have all notes represented, while the bass octave is missing its note 4 and the trebel octave is missing its note 25 and the note 0 that begins the next octave; or as slightly over nine octaves of which the bass octave misses many notes but the rest have all notes represented at least once. Note that the range in the video appears considerably less due to mapping only one MIDI channel.