Langwidge: Difference between revisions

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== Temperament data ==
== Temperament data ==
Subgroup: 2.3.17.19
[[Subgroup]]: 2.3.17.19


Comma list: 6144/6137, 19683/19456
[[Comma list]]: 6144/6137, 19683/19456


Mapping: 1 0 31 -10, 0 1 -17 9
{{Mapping|legend=2| 1 0 31 -10 | 0 1 -17 9 }}


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


Supporting ETs: 12, 187g, 199g, 211g, 233, 235, 247, ..
[[Optimal tuning]] ([[CTE]]): ~3/2 = 699.752
 
[[Support]]ing [[ET]]s: {{EDOs|12, 187g, 199g, 211g, 233, 235, 247}}, ...


== References ==
== References ==

Revision as of 13:14, 29 October 2023

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[1] 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

Sval mapping[1 0 31 -10], 0 1 -17 9]]

sval mapping generators: ~2, ~3

Optimal tuning (CTE): ~3/2 = 699.752

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

References