Langwidge

Langwidge is a rank-2 temperament whose generator is a perfect fifth, and it is constructed with purpose of spelling the minor triad wrong.

The name "langwidge" originates from Adam Neely's video "Is Cb The Same Note as B?", where he mentions that there's "nothing technically incorrect about spelling the word language as "langwidge", but word structure-wise the information is different because it's not spelled right. In addition, he goes on to mention about how the "order of spelling in Western music theory is sacrosanct".

In this case, the temperament's generator is 3/2, 9 of which yield 38/1, meaning 19/16 is mapped to C-D#. This means, when octave-reduced, this would require spelling the 16:19:24 triad as C-D#-E and not as C-Eb-E, producing this peculiar violation of standard Western music theory.

See also protolangwidge.

Temperament data

Subgroup: 2.3.17.19

Comma list: 6144/6137, 19683/19456

Mapping: 1 0 31 -10, 0 1 -17 9

Mapping generators: ~3/2 = 700...,

Supporting ETs: 12, 187g, 199g, 211g, 233, 235, 247, ..